NOMBRES - Curiosités, théorie et usages

 

Accueil                           DicoNombre            Rubriques           Nouveautés      Édition du: 06/08/2018

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Tables de nombres

 

Débutants

Général

Partition des nombres

en somme de nombres premiers distincts

 

Glossaire

Général

INDEX

Partitions

2 à 29

30 à 49

50 à 59

60 à 69

70 à 79

80 à 89

90 à 99

100

 

 

 

NOMBRES

somme de Premiers distincts

 

Table de partitions pour tous les nombres de 2 à 100

Voir Développements sur les nombres premiers / Somme de premiers consécutifs

 

 

Légende

*  Qté: Quantité de termes dans la partition; en rouge la quantité minimale

*  N: Le nombre partitionné; en rouge les nombres premiers

*  somme: les termes de la somme

 

 

TABLE pour N = 100

Voir Nombre 100

 

Les 198 partitions de 100 en nombres premiers distincts

Dont 6 avec 2 termes

Et la première de la liste: somme des 9 premiers consécutifs

 

 

Qté   N     Somme

 

9    100        2     + 3     + 5     + 7     + 11     + 13     + 17     + 19     + 23                                                                                                                                                                    

7    100        2              + 5               + 11     + 13     + 17                 + 23     + 29                                                                                                                                                        

6    100                                  + 7     + 11     + 13     + 17                 + 23     + 29                                                                                                                                                        

7    100        2     + 3                         + 11     + 13                 + 19     + 23     + 29                                                                                                                                                        

6    100                        + 5               + 11     + 13                 + 19     + 23     + 29                                                                                                                                                        

7    100        2     + 3               + 7                            + 17     + 19     + 23     + 29                                                                                                                                                        

6    100                        + 5     + 7                            + 17     + 19     + 23     + 29                                                                                                                                                        

7    100        2                        + 7     + 11     + 13     + 17     + 19                            + 31                                                                                                                                            

7    100        2     + 3                         + 11     + 13     + 17                 + 23                 + 31                                                                                                                                            

6    100                        + 5               + 11     + 13     + 17                 + 23                 + 31                                                                                                                                            

7    100        2              + 5     + 7                 + 13                 + 19     + 23                 + 31                                                                                                                                            

6    100               + 3                         + 11     + 13                 + 19     + 23                 + 31                                                                                                                                            

7    100        2     + 3     + 5                                      + 17     + 19     + 23                 + 31                                                                                                                                            

6    100               + 3               + 7                            + 17     + 19     + 23                 + 31                                                                                                                                            

7    100        2     + 3               + 7     + 11                + 17                             + 29     + 31                                                                                                                                            

6    100                        + 5     + 7     + 11                + 17                             + 29     + 31                                                                                                                                            

7    100        2     + 3     + 5                           + 13     + 17                             + 29     + 31                                                                                                                                            

6    100               + 3               + 7                 + 13     + 17                             + 29     + 31                                                                                                                                            

7    100        2     + 3     + 5               + 11                            + 19                 + 29     + 31                                                                                                                                            

6    100               + 3               + 7     + 11                            + 19                 + 29     + 31                                                                                                                                            

6    100               + 3     + 5                           + 13                 + 19                 + 29     + 31                                                                                                                                            

7    100        2     + 3     + 5     + 7                                                    + 23     + 29     + 31                                                                                                                                            

4    100                                                                    + 17                 + 23     + 29     + 31                                                                                                                                            

7    100        2              + 5     + 7                 + 13     + 17     + 19                                        + 37                                                                                                                                

6    100               + 3                         + 11     + 13     + 17     + 19                                        + 37                                                                                                                                

7    100        2     + 3               + 7     + 11                + 17                 + 23                             + 37                                                                                                                                

6    100                        + 5     + 7     + 11                + 17                 + 23                             + 37                                                                                                                                

7    100        2     + 3     + 5                           + 13     + 17                 + 23                             + 37                                                                                                                                

6    100               + 3               + 7                 + 13     + 17                 + 23                             + 37                                                                                                                                

7    100        2     + 3     + 5               + 11                            + 19     + 23                             + 37                                                                                                                                

6    100               + 3               + 7     + 11                            + 19     + 23                             + 37                                                                                                                                

6    100               + 3     + 5                           + 13                 + 19     + 23                             + 37                                                                                                                                

7    100        2     + 3     + 5               + 11     + 13                                        + 29                 + 37                                                                                                                                

6    100               + 3               + 7     + 11     + 13                                        + 29                 + 37                                                                                                                                

7    100        2     + 3     + 5     + 7                            + 17                             + 29                 + 37                                                                                                                                

6    100               + 3     + 5     + 7                                        + 19                 + 29                 + 37                                                                                                                                

5    100        2                                              + 13                 + 19                 + 29                 + 37                                                                                                                                

4    100                                            + 11                                        + 23     + 29                 + 37                                                                                                                                

6    100               + 3     + 5               + 11     + 13                                                    + 31     + 37                                                                                                                                

6    100               + 3     + 5     + 7                            + 17                                        + 31     + 37                                                                                                                                

5    100        2                                              + 13     + 17                                        + 31     + 37                                                                                                                                

5    100        2                                  + 11                            + 19                            + 31     + 37                                                                                                                                

4    100                                                        + 13                 + 19                            + 31     + 37                                                                                                                                

5    100        2                        + 7                                                    + 23                 + 31     + 37                                                                                                                                

4    100               + 3                                                                                    + 29     + 31     + 37                                                                                                                                

7    100        2     + 3               + 7     + 11                + 17     + 19                                                    + 41                                                                                                                     

6    100                        + 5     + 7     + 11                + 17     + 19                                                    + 41                                                                                                                     

7    100        2     + 3     + 5                           + 13     + 17     + 19                                                    + 41                                                                                                                     

6    100               + 3               + 7                 + 13     + 17     + 19                                                    + 41                                                                                                                     

7    100        2     + 3               + 7     + 11     + 13                            + 23                                        + 41                                                                                                                     

6    100                        + 5     + 7     + 11     + 13                            + 23                                        + 41                                                                                                                     

6    100               + 3     + 5               + 11                + 17                 + 23                                        + 41                                                                                                                     

7    100        2     + 3     + 5     + 7                                        + 19     + 23                                        + 41                                                                                                                     

4    100                                                                    + 17     + 19     + 23                                        + 41                                                                                                                     

7    100        2     + 3     + 5     + 7                 + 13                                        + 29                            + 41                                                                                                                     

5    100        2                                  + 11                + 17                             + 29                            + 41                                                                                                                     

4    100                                                        + 13     + 17                             + 29                            + 41                                                                                                                     

4    100                                            + 11                            + 19                 + 29                            + 41                                                                                                                     

5    100        2              + 5                                                              + 23     + 29                            + 41                                                                                                                     

4    100                                  + 7                                                    + 23     + 29                            + 41                                                                                                                     

7    100        2     + 3     + 5     + 7     + 11                                                                + 31                 + 41                                                                                                                     

6    100               + 3     + 5     + 7                 + 13                                                    + 31                 + 41                                                                                                                     

4    100                                            + 11                + 17                                        + 31                 + 41                                                                                                                     

5    100        2                        + 7                                        + 19                            + 31                 + 41                                                                                                                     

5    100        2     + 3                                                                        + 23                 + 31                 + 41                                                                                                                     

4    100                        + 5                                                              + 23                 + 31                 + 41                                                                                                                     

5    100        2                        + 7                 + 13                                                                + 37     + 41                                                                                                                     

5    100        2     + 3                                                + 17                                                    + 37     + 41                                                                                                                     

4    100                        + 5                                      + 17                                                    + 37     + 41                                                                                                                     

4    100               + 3                                                            + 19                                        + 37     + 41                                                                                                                     

7    100        2              + 5     + 7     + 11     + 13                 + 19                                                                + 43                                                                                                         

7    100        2     + 3     + 5               + 11                + 17     + 19                                                                + 43                                                                                                         

6    100               + 3               + 7     + 11                + 17     + 19                                                                + 43                                                                                                         

6    100               + 3     + 5                           + 13     + 17     + 19                                                                + 43                                                                                                         

7    100        2     + 3     + 5               + 11     + 13                            + 23                                                    + 43                                                                                                         

6    100               + 3               + 7     + 11     + 13                            + 23                                                    + 43                                                                                                         

7    100        2     + 3     + 5     + 7                            + 17                 + 23                                                    + 43                                                                                                         

6    100               + 3     + 5     + 7                                        + 19     + 23                                                    + 43                                                                                                         

5    100        2                                              + 13                 + 19     + 23                                                    + 43                                                                                                         

7    100        2     + 3     + 5     + 7     + 11                                                    + 29                                        + 43                                                                                                         

6    100               + 3     + 5     + 7                 + 13                                        + 29                                        + 43                                                                                                         

4    100                                            + 11                + 17                             + 29                                        + 43                                                                                                         

5    100        2                        + 7                                        + 19                 + 29                                        + 43                                                                                                         

5    100        2     + 3                                                                        + 23     + 29                                        + 43                                                                                                         

4    100                        + 5                                                              + 23     + 29                                        + 43                                                                                                         

6    100               + 3     + 5     + 7     + 11                                                                + 31                             + 43                                                                                                         

5    100        2                                  + 11     + 13                                                    + 31                             + 43                                                                                                         

5    100        2                        + 7                            + 17                                        + 31                             + 43                                                                                                         

5    100        2              + 5                                                  + 19                            + 31                             + 43                                                                                                         

4    100                                  + 7                                        + 19                            + 31                             + 43                                                                                                         

4    100               + 3                                                                        + 23                 + 31                             + 43                                                                                                         

5    100        2                        + 7     + 11                                                                            + 37                 + 43                                                                                                         

5    100        2              + 5                           + 13                                                                + 37                 + 43                                                                                                         

4    100                                  + 7                 + 13                                                                + 37                 + 43                                                                                                         

4    100               + 3                                                + 17                                                    + 37                 + 43                                                                                                         

5    100        2     + 3                         + 11                                                                                       + 41     + 43                                                                                                         

4    100                        + 5               + 11                                                                                       + 41     + 43                                                                                                         

4    100               + 3                                    + 13                                                                            + 41     + 43                                                                                                         

7    100        2     + 3               + 7     + 11     + 13     + 17                                                                                        + 47                                                                                             

6    100                        + 5     + 7     + 11     + 13     + 17                                                                                        + 47                                                                                             

7    100        2     + 3     + 5               + 11     + 13                 + 19                                                                            + 47                                                                                             

6    100               + 3               + 7     + 11     + 13                 + 19                                                                            + 47                                                                                             

7    100        2     + 3     + 5     + 7                            + 17     + 19                                                                            + 47                                                                                             

7    100        2     + 3     + 5     + 7                 + 13                            + 23                                                                + 47                                                                                             

5    100        2                                  + 11                + 17                 + 23                                                                + 47                                                                                             

4    100                                                        + 13     + 17                 + 23                                                                + 47                                                                                             

4    100                                            + 11                            + 19     + 23                                                                + 47                                                                                             

4    100                                            + 11     + 13                                        + 29                                                    + 47                                                                                             

5    100        2              + 5                                      + 17                             + 29                                                    + 47                                                                                             

4    100                                  + 7                            + 17                             + 29                                                    + 47                                                                                             

5    100        2     + 3                                                            + 19                 + 29                                                    + 47                                                                                             

4    100                        + 5                                                  + 19                 + 29                                                    + 47                                                                                             

5    100        2                        + 7                 + 13                                                    + 31                                        + 47                                                                                             

5    100        2     + 3                                                + 17                                        + 31                                        + 47                                                                                             

4    100                        + 5                                      + 17                                        + 31                                        + 47                                                                                             

4    100               + 3                                                            + 19                            + 31                                        + 47                                                                                             

5    100        2     + 3                         + 11                                                                            + 37                            + 47                                                                                             

4    100                        + 5               + 11                                                                            + 37                            + 47                                                                                             

4    100               + 3                                    + 13                                                                + 37                            + 47                                                                                             

5    100        2     + 3               + 7                                                                                                   + 41                 + 47                                                                                             

4    100                        + 5     + 7                                                                                                   + 41                 + 47                                                                                             

5    100        2     + 3     + 5                                                                                                                         + 43     + 47                                                                                             

4    100               + 3               + 7                                                                                                               + 43     + 47                                                                                             

7    100        2     + 3     + 5     + 7                 + 13     + 17                                                                                                    + 53                                                                                 

7    100        2     + 3     + 5     + 7     + 11                            + 19                                                                                        + 53                                                                                 

6    100               + 3     + 5     + 7                 + 13                 + 19                                                                                        + 53                                                                                 

4    100                                            + 11                + 17     + 19                                                                                        + 53                                                                                 

4    100                                            + 11     + 13                            + 23                                                                            + 53                                                                                 

5    100        2              + 5                                      + 17                 + 23                                                                            + 53                                                                                 

4    100                                  + 7                            + 17                 + 23                                                                            + 53                                                                                 

5    100        2     + 3                                                            + 19     + 23                                                                            + 53                                                                                 

4    100                        + 5                                                  + 19     + 23                                                                            + 53                                                                                 

5    100        2              + 5               + 11                                                    + 29                                                                + 53                                                                                 

4    100                                  + 7     + 11                                                    + 29                                                                + 53                                                                                 

5    100        2     + 3                                    + 13                                        + 29                                                                + 53                                                                                 

4    100                        + 5                           + 13                                        + 29                                                                + 53                                                                                 

5    100        2     + 3                         + 11                                                                + 31                                                    + 53                                                                                 

4    100                        + 5               + 11                                                                + 31                                                    + 53                                                                                 

4    100               + 3                                    + 13                                                    + 31                                                    + 53                                                                                 

5    100        2     + 3     + 5                                                                                                  + 37                                        + 53                                                                                 

4    100               + 3               + 7                                                                                        + 37                                        + 53                                                                                 

2    100                                                                                                                                                                   + 47     + 53                                                                                 

7    100        2     + 3     + 5     + 7     + 11     + 13                                                                                                                           + 59                                                                     

4    100                                            + 11     + 13     + 17                                                                                                               + 59                                                                     

5    100        2                        + 7                 + 13                 + 19                                                                                                   + 59                                                                     

5    100        2     + 3                                                + 17     + 19                                                                                                   + 59                                                                     

4    100                        + 5                                      + 17     + 19                                                                                                   + 59                                                                     

5    100        2              + 5               + 11                                        + 23                                                                                        + 59                                                                     

4    100                                  + 7     + 11                                        + 23                                                                                        + 59                                                                     

5    100        2     + 3                                    + 13                            + 23                                                                                        + 59                                                                     

4    100                        + 5                           + 13                            + 23                                                                                        + 59                                                                     

5    100        2     + 3               + 7                                                                + 29                                                                            + 59                                                                     

4    100                        + 5     + 7                                                                + 29                                                                            + 59                                                                     

5    100        2     + 3     + 5                                                                                      + 31                                                                + 59                                                                     

4    100               + 3               + 7                                                                            + 31                                                                + 59                                                                     

2    100                                                                                                                                           + 41                                        + 59                                                                     

6    100               + 3     + 5     + 7     + 11     + 13                                                                                                                                       + 61                                                         

5    100        2                        + 7                 + 13     + 17                                                                                                                           + 61                                                         

5    100        2                        + 7     + 11                            + 19                                                                                                               + 61                                                         

5    100        2              + 5                           + 13                 + 19                                                                                                               + 61                                                         

4    100                                  + 7                 + 13                 + 19                                                                                                               + 61                                                         

4    100               + 3                                                + 17     + 19                                                                                                               + 61                                                         

5    100        2     + 3                         + 11                                        + 23                                                                                                    + 61                                                         

4    100                        + 5               + 11                                        + 23                                                                                                    + 61                                                         

4    100               + 3                                    + 13                            + 23                                                                                                    + 61                                                         

5    100        2     + 3     + 5                                                                          + 29                                                                                        + 61                                                         

4    100               + 3               + 7                                                                + 29                                                                                        + 61                                                         

4    100               + 3     + 5                                                                                      + 31                                                                            + 61                                                         

3    100        2                                                                                                                     + 37                                                                + 61                                                         

5    100        2                        + 7     + 11     + 13                                                                                                                                                   + 67                                              

5    100        2     + 3                         + 11                + 17                                                                                                                                       + 67                                              

4    100                        + 5               + 11                + 17                                                                                                                                       + 67                                              

4    100               + 3                                    + 13     + 17                                                                                                                                       + 67                                              

5    100        2              + 5     + 7                                        + 19                                                                                                                           + 67                                              

4    100               + 3                         + 11                            + 19                                                                                                                           + 67                                              

5    100        2     + 3     + 5                                                              + 23                                                                                                               + 67                                              

4    100               + 3               + 7                                                    + 23                                                                                                               + 67                                              

3    100        2                                                                                                         + 31                                                                                        + 67                                              

5    100        2     + 3                         + 11     + 13                                                                                                                                                          + 71                                              

4    100                        + 5               + 11     + 13                                                                                                                                                          + 71                                              

5    100        2     + 3               + 7                            + 17                                                                                                                                              + 71                                              

4    100                        + 5     + 7                            + 17                                                                                                                                              + 71                                              

5    100        2     + 3     + 5                                                  + 19                                                                                                                                  + 71                                              

4    100               + 3               + 7                                        + 19                                                                                                                                  + 71                                              

2    100                                                                                                       + 29                                                                                                          + 71                                              

5    100        2              + 5     + 7                 + 13                                                                                                                                                                      + 73                                    

4    100               + 3                         + 11     + 13                                                                                                                                                                      + 73                                    

5    100        2     + 3     + 5                                      + 17                                                                                                                                                          + 73                                    

4    100               + 3               + 7                            + 17                                                                                                                                                          + 73                                    

4    100               + 3     + 5                                                  + 19                                                                                                                                              + 73                                    

5    100        2     + 3     + 5               + 11                                                                                                                                                                                  + 79                          

4    100               + 3               + 7     + 11                                                                                                                                                                                  + 79                          

4    100               + 3     + 5                           + 13                                                                                                                                                                      + 79                          

3    100        2                                                                      + 19                                                                                                                                               + 79                          

5    100        2     + 3     + 5     + 7                                                                                                                                                                                                                + 83                  

2    100                                                                    + 17                                                                                                                                                                             + 83                  

2    100                                            + 11                                                                                                                                                                                                          + 89  

2    100               + 3                                                                                                                                                                                                                                                    + 97

 

 

 

 

 

 

Reour

*         Partitions pour 2 à 29

Voir

*         Orientation vers tous les nombres du dictionnaire

*         Liste des tables de nombres

Cette page

http://villemin.gerard.free.fr/TABLES/aaaParti/Premier/N100.htm