NOMBRES - Curiosités, théorie et usages

 

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

Orientation générale        DicoMot Math          Atlas                   Références                     M'écrire

Barre de recherche          DicoCulture              Index alphabétique          Brèves de Maths                   

     

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 partition 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 de 30 à 49

 

 

Qté   N       =    somme

 

5    30       =    2    + 3    + 5    + 7              + 13                                                                                    

3    30       =    2                             11                 + 17                                                                          

2    30       =                                            + 13    + 17                                                                          

2    30       =                                  11                           + 19                                                                

3    30       =    2            + 5                                                     + 23                                                      

2    30       =                          7                                              + 23                                                      

4    31       =    2            + 5            + 11    + 13                                                                                    

3    31       =                          7       + 11    + 13                                                                                    

4    31       =    2            + 5    + 7                        + 17                                                                          

3    31       =         3                      + 11              + 17                                                                          

4    31       =    2    + 3            + 7                                  + 19                                                                

3    31       =                  5       + 7                                  + 19                                                                

3    31       =         3      + 5                                                     + 23                                                      

2    31       =    2                                                                                + 29                                            

1    31       =                                                                                               31                                   

4    32       =         3      + 5            + 11    + 13                                                                                    

4    32       =         3      + 5    + 7                        + 17                                                                          

3    32       =    2                                       + 13    + 17                                                                          

3    32       =    2                             + 11                        + 19                                                                

2    32       =                                            13                + 19                                                                

3    32       =    2                     + 7                                            + 23                                                      

2    32       =         3                                                                         + 29                                            

4    33       =    2                     + 7    + 11    + 13                                                                                    

4    33       =    2    + 3                    + 11              + 17                                                                          

3    33       =                  5              + 11              + 17                                                                          

3    33       =         3                                 + 13    + 17                                                                          

4    33       =    2            + 5    + 7                                  + 19                                                                

3    33       =         3                      + 11                        + 19                                                                

4    33       =    2    + 3    + 5                                                     + 23                                                      

3    33       =         3              + 7                                            + 23                                                      

2    33       =    2                                                                                          + 31                                 

5    34       =    2    + 3    + 5            + 11    + 13                                                                                    

4    34       =         3              + 7    + 11    + 13                                                                                    

5    34       =    2    + 3    + 5    + 7                        + 17                                                                          

4    34       =         3       + 5    + 7                                  + 19                                                                

3    34       =    2                                       + 13              + 19                                                                

2    34       =                                  11                                     + 23                                                      

3    34       =    2    + 3                                                                       + 29                                            

2    34       =                  5                                                                 + 29                                            

2    34       =         3                                                                                    + 31                                 

4    35       =    2            + 5            + 11              + 17                                                                          

3    35       =                          7       + 11              + 17                                                                          

4    35       =    2    + 3                               + 13    + 17                                                                          

3    35       =                  5                        + 13    + 17                                                                          

4    35       =    2    + 3                    + 11                        + 19                                                                

3    35       =                  5              + 11                        + 19                                                                

3    35       =         3                                  + 13              + 19                                                                

4    35       =    2    + 3            + 7                                            + 23                                                      

3    35       =                  5      + 7                                            + 23                                                      

5    36       =    2    + 3            + 7    + 11    + 13                                                                                    

4    36       =                  5      + 7    + 11    + 13                                                                                    

4    36       =         3      + 5            + 11              + 17                                                                          

5    36       =    2    + 3    + 5    + 7                                  + 19                                                                

2    36       =                                                       17      + 19                                                                 

3    36       =    2                             + 11                                  + 23                                                      

2    36       =                                            13                          + 23                                                      

3    36       =    2            + 5                                                               + 29                                            

2    36       =                          7                                                         + 29                                            

3    36       =    2    + 3                                                                                  + 31                                 

2    36       =                  5                                                                           + 31                                 

4    37       =    2                     + 7    + 11              + 17                                                                          

4    37       =    2            + 5                      + 13    + 17                                                                          

3    37       =                          7                + 13    + 17                                                                          

4    37       =    2            + 5            + 11                        + 19                                                                

3    37       =                          7      + 11                        + 19                                                                

4    37       =    2    + 3                               + 13              + 19                                                                

3    37       =                  5                        + 13              + 19                                                                

4    37       =    2            + 5    + 7                                            + 23                                                      

3    37       =         3                       + 11                                  + 23                                                      

3    37       =         3      + 5                                                               + 29                                            

1    37       =                                                                                                         37                         

5    38       =    2            + 5    + 7    + 11    + 13                                                                                    

5    38       =    2    + 3    + 5            + 11              + 17                                                                          

4    38       =         3              + 7    + 11              + 17                                                                          

4    38       =         3      + 5                      + 13    + 17                                                                          

4    38       =         3      + 5            + 11                        + 19                                                                

3    38       =    2                                                 + 17    + 19                                                                

4    38       =         3      + 5    + 7                                            + 23                                                      

3    38       =    2                                       + 13                        + 23                                                      

3    38       =    2                     + 7                                                       + 29                                            

3    38       =    2            5                                                                           + 31                                 

2    38       =                          7                                                                    + 31                                 

5    39       =         3      + 5    + 7    + 11    + 13                                                                                    

4    39       =    2                     + 7              + 13    + 17                                                                          

4    39       =    2                     + 7    + 11                        + 19                                                                

4    39       =    2            + 5                      + 13              + 19                                                                

3    39       =                          7                 + 13              + 19                                                                

3    39       =         3                                           + 17    + 19                                                                

4    39       =    2    + 3                    + 11                                  + 23                                                      

3    39       =                  5               + 11                                  + 23                                                      

3    39       =         3                                 + 13                        + 23                                                      

4    39       =    2    + 3    + 5                                                               + 29                                            

3    39       =         3              + 7                                                       + 29                                            

3    39       =         3      + 5                                                                         + 31                                 

2    39       =    2                                                                                                    + 37                       

5    40       =    2    + 3            + 7    + 11              + 17                                                                          

4    40       =                  5      + 7    + 11              + 17                                                                          

5    40       =    2    + 3    + 5                      + 13    + 17                                                                          

4    40       =         3              + 7              + 13    + 17                                                                          

5    40       =    2    + 3    + 5            + 11                        + 19                                                                

4    40       =         3              + 7    + 11                        + 19                                                                

4    40       =         + 3    + 5                      + 13              + 19                                                                

5    40       =    2    + 3    + 5    + 7                                            + 23                                                      

2    40       =                                                       17                + 23                                                      

2    40       =                                  11                                               + 29                                            

3    40       =    2                     + 7                                                                 + 31                                 

2    40       =         3                                                                                              + 37                       

6    41       =    2    + 3    + 5    + 7    + 11    + 13                                                                                    

3    41       =                                  11      + 13    + 17                                                                          

4    41       =    2                     + 7              + 13              + 19                                                                

4    41       =    2    + 3                                         + 17    + 19                                                                

3    41       =                  5                                  + 17    + 19                                                                

4    41       =    2            + 5            + 11                                  + 23                                                      

3    41       =                          7      + 11                                  + 23                                                      

4    41       =    2    + 3                               + 13                        + 23                                                      

3    41       =                  5                        + 13                        + 23                                                      

4    41       =    2    + 3            + 7                                                       + 29                                            

3    41       =                  5      + 7                                                       + 29                                            

4    41       =    2    + 3    + 5                                                                         + 31                                 

3    41       =         3              + 7                                                                 + 31                                 

1    41       =                                                                                                                    41               

5    42       =    2            + 5    + 7    + 11              + 17                                                                          

5    42       =    2    + 3            + 7              + 13    + 17                                                                          

4    42       =                  5       + 7              + 13    + 17                                                                          

5    42       =    2    + 3            + 7    + 11                        + 19                                                                

4    42       =                  5      + 7    + 11                        + 19                                                                

5    42       =    2    + 3    + 5                      + 13              + 19                                                                

4    42       =         3              + 7              + 13              + 19                                                                

4    42       =         3      + 5            + 11                                  + 23                                                      

3    42       =    2                                                 + 17              + 23                                                      

2    42       =                                                                 19       + 23                                                      

3    42       =    2                             + 11                                             + 29                                            

2    42       =                                            13                                    + 29                                            

2    42       =                                  11                                                          + 31                                 

3    42       =    2    + 3                                                                                            + 37                       

2    42       =                  5                                                                                     + 37                       

5    43       =         3      + 5    + 7    + 11              + 17                                                                          

4    43       =    2                             + 11    + 13    + 17                                                                          

3    43       =                                  11      + 13              + 19                                                                

4    43       =    2            + 5                                + 17    + 19                                                                

3    43       =                          7                          + 17    + 19                                                                

4    43       =    2                     + 7    + 11                                  + 23                                                      

4    43       =    2            + 5                      + 13                        + 23                                                      

3    43       =                          7                + 13                        + 23                                                      

3    43       =         3                                           + 17              + 23                                                      

4    43       =    2            + 5    + 7                                                       + 29                                            

3    43       =         3                      + 11                                             + 29                                            

4    43       =    2    + 3            + 7                                                                 + 31                                 

3    43       =                  5      + 7                                                                 + 31                                 

2    43       =    2                                                                                                              + 41             

1    43       =                                                                                                                              43     

5    44       =    2            + 5    + 7              + 13    + 17                                                                          

4    44       =         3                      + 11    + 13    + 17                                                                          

5    44       =    2            + 5    + 7    + 11                        + 19                                                                

5    44       =    2    + 3            + 7              + 13              + 19                                                                

4    44       =                  5      + 7              + 13              + 19                                                                

4    44       =         3      + 5                                + 17    + 19                                                                

5    44       =    2    + 3    + 5            + 11                                  + 23                                                      

4    44       =         3              + 7    + 11                                  + 23                                                      

4    44       =         3      + 5                      + 13                        + 23                                                      

3    44       =    2                                                           + 19    + 23                                                      

4    44       =         3      + 5    + 7                                                       + 29                                            

3    44       =    2                                       + 13                                  + 29                                            

3    44       =    2                             + 11                                                       + 31                                 

2    44       =                                            13                                               + 31                                 

3    44       =    2            + 5                                                                                   + 37                       

2    44       =                          7                                                                              + 37                       

2    44       =         3                                                                                                        + 41             

6    45       =    2    + 3    + 5    + 7    + 11              + 17                                                                          

5    45       =         3      + 5    + 7              + 13    + 17                                                                          

5    45       =         3      + 5    + 7    + 11                        + 19                                                                

4    45       =    2                             + 11    + 13              + 19                                                                

4    45       =    2                     + 7                        + 17    + 19                                                                

4    45       =    2                     + 7              + 13                        + 23                                                      

4    45       =    2    + 3                                         + 17              + 23                                                      

3    45       =                  5                                  + 17              + 23                                                      

3    45       =         3                                                     + 19    + 23                                                      

4    45       =    2    + 3                    + 11                                             + 29                                            

3    45       =                  5              + 11                                             + 29                                            

3    45       =         3                                 + 13                                  + 29                                            

4    45       =    2            + 5    + 7                                                                 + 31                                 

3    45       =         3                      + 11                                                       + 31                                 

3    45       =         3       + 5                                                                                   + 37                       

2    45       =    2                                                                                                                         + 43   

5    46       =    2    + 3                    + 11    + 13    + 17                                                                          

4    46       =                  5               + 11    + 13    + 17                                                                          

5    46       =    2            + 5    + 7              + 13              + 19                                                                

4    46       =         3                       + 11    + 13              + 19                                                                

5    46       =    2    + 3    + 5                                + 17    + 19                                                                

4    46       =         3              + 7                        + 17    + 19                                                                

5    46       =    2    + 3            + 7    + 11                                  + 23                                                      

4    46       =                  5      + 7    + 11                                  + 23                                                      

5    46       =    2    + 3    + 5                      + 13                        + 23                                                      

4    46       =         3               + 7              + 13                        + 23                                                      

5    46       =    2    + 3    + 5    + 7                                                       + 29                                            

2    46       =                                                       17                           + 29                                            

4    46       =         3       + 5    + 7                                                                 + 31                                 

3    46       =    2                                       + 13                                             + 31                                 

3    46       =    2                     + 7                                                                           + 37                       

3    46       =    2    + 3                                                                                                      + 41             

2    46       =                  5                                                                                                + 41             

2    46       =         3                                                                                                                   + 43   

6    47       =    2    + 3    + 5    + 7              + 13    + 17                                                                          

6    47       =    2    + 3    + 5    + 7    + 11                        + 19                                                                

5    47       =         3       + 5    + 7              + 13              + 19                                                                

3    47       =                                  11                 + 17    + 19                                                                

3    47       =                                  11       + 13                        + 23                                                      

4    47       =    2            + 5                                + 17              + 23                                                      

3    47       =                          7                           + 17              + 23                                                      

4    47       =    2    + 3                                                   + 19    + 23                                                      

3    47       =                  5                                             + 19    + 23                                                      

4    47       =    2            + 5            + 11                                             + 29                                            

3    47       =                          7      + 11                                             + 29                                            

4    47       =    2    + 3                               + 13                                  + 29                                            

3    47       =                  5                         + 13                                  + 29                                            

4    47       =    2    + 3                    + 11                                                       + 31                                 

3    47       =                  5               + 11                                                       + 31                                 

3    47       =          3                                  + 13                                             + 31                                 

4    47       =    2    + 3    + 5                                                                                   + 37                       

3    47       =         3              + 7                                                                           + 37                       

1    47       =                                                                                                                                        47

5    48       =    2            + 5            + 11    + 13    + 17                                                                          

4    48       =                          7       + 11    + 13    + 17                                                                          

5    48       =    2    + 3                    + 11    + 13              + 19                                                                

4    48       =                  5              + 11    + 13              + 19                                                                 

5    48       =    2    + 3            + 7                        + 17    + 19                                                                

4    48       =                  5       + 7                        + 17    + 19                                                                

5    48       =    2            + 5    + 7    + 11                                  + 23                                                      

5    48       =    2    + 3            + 7              + 13                        + 23                                                      

4    48       =                  5      + 7              + 13                        + 23                                                      

4    48       =         3      + 5                                + 17              + 23                                                      

4    48       =         3       + 5            + 11                                             + 29                                            

3    48       =    2                                                 + 17                        + 29                                            

2    48       =                                                                 19                + 29                                            

5    48       =    2    + 3    + 5    + 7                                                                 + 31                                 

2    48       =                                                       17                                     + 31                                 

2    48       =                                  11                                                                   + 37                       

3    48       =    2            + 5                                                                                             + 41             

2    48       =                          7                                                                                       + 41             

3    48       =    2    + 3                                                                                                                + 43   

2    48       =                  5                                                                                                          + 43   

5    49       =         3      + 5            + 11    + 13    + 17                                                                          

6    49       =    2    + 3    + 5    + 7              + 13              + 19                                                                

4    49       =    2                             + 11              + 17    + 19                                                                

3    49       =                                            13       + 17    + 19                                                                

5    49       =         3       + 5    + 7    + 11                                  + 23                                                      

4    49       =    2                             + 11    + 13                        + 23                                                      

4    49       =    2                     + 7                        + 17              + 23                                                      

4    49       =    2            + 5                                          + 19    + 23                                                      

3    49       =                          7                                    + 19    + 23                                                      

4    49       =    2                     + 7    + 11                                             + 29                                            

4    49       =    2            + 5                      + 13                                  + 29                                            

3    49       =                          + 7              + 13                                  + 29                                            

3    49       =         +3                                          + 17                        + 29                                            

4    49       =    2            + 5            + 11                                                       + 31                                 

3    49       =                          7      + 11                                                       + 31                                 

4    49       =    2    + 3                               + 13                                             + 31                                 

3    49       =                  5                        + 13                                             + 31                                 

4    49       =    2    3              + 7                                                                           + 37                       

3    49       =                  + 5    + 7                                                                           + 37                       

3    49       =         3      + 5                                                                                             + 41             

2    49       =    2                                                                                                                                   + 47

 

 

 

Remarques

*  N= 48 atteint déjà une quantité de 20 partitions en somme de premiers distincts (non triviales)

 

 

 

 

Suite

*         Partitions pour 50 à 59

Voir

*         Orientation vers tous les nombres du dictionnaire

*         Liste des tables de nombres

Cette page

http://villemin.gerard.free.fr/TABLES/aaaParti/Premier/N30a50.htm