Nombres premiers avec les mêmes chiffres

Édition du: 16/04/2025

INDEX Nombres premiers Types de nombres Classification Chiffres	Types de Nombres – Motifs
	Premiers	Intervalle	Écart à volonté	Orphelins
	Interpremiers	Intervalle – Tables	Puissances proches	Jumeaux
		Chiffres identiques

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NOMBRES PREMIERS

ayant des chiffres identiques

Nombres premiers avec le même jeu de chiffres ou alors avec des chiffres absolument identiques.

Couples quelconques ou nombres premiers voisins.

Exemple: ces onze nombres sont premiers et ont exactement les mêmes chiffres:

[1237, 1327, 1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321]

Sommaire de cette page

>>> Premiers voisins – Même jeu de chiffres

>>> Premiers voisins – Même chiffres

>>> Premiers quelconques – Même jeu de chiffres

>>> Premiers quelconques – Même chiffres

Débutants

Nombres

Glossaire

Nombres

Premiers voisins – Même jeu de chiffres

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Même jeu de chiffres

Cas de deux nombres premiers successifs qui possèdent le même jeu de chiffres.

Ainsi, le 64^e nombre premier est 311 et son successeur est 313. Ils sont tous les deux composés des deux chiffres 1 et 3, même si certains sont redondés.

Rang, P, P suivant

64, 311, 313

156, 911, 919

173, 1031, 1033

212, 1301, 1303

271, 1741, 1747

293, 1913, 1931

294, 1931, 1933

356, 2393, 2399

431, 3001, 3011

513, 3673, 3677

526, 3779, 3793

527, 3793, 3797

544, 3923, 3929

593, 4339, 4349

711, 5393, 5399

746, 5659, 5669

752, 5711, 5717

780, 5939, 5953

799, 6131, 6133

830, 6367, 6373

847, 6553, 6563

868, 6733, 6737

912, 7121, 7127

940, 7411, 7417

Premiers voisins – Même chiffres

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Mêmes chiffres

Cas de deux nombres premiers successifs qui possèdent exactement les mêmes chiffres.

Ainsi, le 293^e nombre premier est 1913 et le suivant est 1931. Chacun est composé de deux 1, un 3 et un 9.
L'écart entre eux est égal à 18.

Notez que les écarts sont des multiples de 18.

Rang, P, P suivant, écart

293, 1913, 1931, 18

2106, 18379, 18397, 18

2161, 19013, 19031, 18

2763, 25013, 25031, 18

3698, 34613, 34631, 18

3793, 35617, 35671, 54

3812, 35879, 35897, 18

3922, 36979, 36997, 18

3959, 37379, 37397, 18

4000, 37813, 37831, 18

4205, 40013, 40031, 18

4224, 40213, 40231, 18

4260, 40639, 40693, 54

4728, 45613, 45631, 18

4953, 48091, 48109, 18

5065, 49279, 49297, 18

5283, 51613, 51631, 18

5617, 55313, 55331, 18

5700, 56179, 56197, 18

5751, 56713, 56731, 18

5932, 58613, 58631, 18

6326, 63079, 63097, 18

6333, 63179, 63197, 18

6422, 64091, 64109, 18

6539, 65479, 65497, 18

6623, 66413, 66431, 18

7375, 74779, 74797, 18

7475, 75913, 75931, 18

7501, 76213, 76231, 18

7533, 76579, 76597, 18

7542, 76679, 76697, 18

8306, 85313, 85331, 18

8568, 88379, 88397, 18

8751, 90379, 90397, 18

8777, 90679, 90697, 18

8994, 93113, 93131, 18

9102, 94379, 94397, 18

9259, 96079, 96097, 18

9354, 97213, 97231, 18

9480, 98737, 98773, 36

Premiers quelconques – Même jeu de chiffres

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Chaque ligne indique quels sont les nombres premiers jusqu'au 1000^e (7 919) qui ont le même jeu de chiffres que le premier de la liste (jusqu'au 100^e (541):

[13, 31, 113, 131, 311, 313, 331, 3313, 3331]

[17, 71, 1117, 1171, 1777, 7177, 7717]

[19, 191, 199, 911, 919, 991, 1999]

[23, 223, 233, 2333, 3323]

[29, 229, 929, 2999]

[31, 113, 131, 311, 313, 331, 3313, 3331]

[37, 73, 337, 373, 733, 773, 3373, 3733, 7333]

[41, 4111, 4441]

[43, 433, 443, 3343, 3433]

[47, 4447, 7477]

[53, 353, 3533, 5333]

[59, 599]

[61, 661, 6661]

[67, 677]

[71, 1117, 1171, 1777, 7177, 7717]

[73, 337, 373, 733, 773, 3373, 3733, 7333]

[79, 97, 797, 977, 997]

[83, 383, 883, 3833]

[97, 797, 977, 997]

[103, 1013, 1031, 1033, 1103, 1301, 1303, 3001, 3011, 3301]

[107, 701, 7001]

[109, 1009, 1019, 1091, 1109, 1901]

[127, 271, 1217, 1277, 1721, 2711, 7121, 7127, 7211]

[137, 173, 317, 1373, 1733, 3137, 3371, 7331]

[139, 193, 1193, 1319, 1399, 1913, 1931, 1933, 1993, 3119, 3191, 3319, 3391, 3911, 3919, 3931]

[149, 419, 491, 941, 1499, 1949, 4919]

[151, 1151, 1511]

[157, 571, 751, 1571, 5171, 5711, 5717, 7151, 7517]

[163, 613, 631, 1163, 1361, 1613, 1663, 3163, 3361, 3613, 3631, 6113, 6131, 6133, 6163, 6311, 6361]

[167, 617, 761, 1667, 6761]

[173, 317, 1373, 1733, 3137, 3371, 7331]

[179, 197, 719, 971, 1979, 1997, 7919]

[181, 811, 881, 1181, 1811]

[191, 199, 911, 919, 991, 1999]

[193, 1193, 1319, 1399, 1913, 1931, 1933, 1993, 3119, 3191, 3319, 3391, 3911, 3919, 3931]

[197, 719, 971, 1979, 1997, 7919]

[199, 911, 919, 991, 1999]

[211, 2111, 2221]

[223, 233, 2333, 3323]

[227, 277, 727, 2777, 7727]

[229, 929, 2999]

[233, 2333, 3323]

[239, 293, 2239, 2293, 2339, 2393, 2399, 2939, 3229, 3299, 3329, 3923, 3929]

[241, 421, 2141, 2411, 2441, 4211, 4241, 4421]

[251, 521, 2251, 2521, 2551, 5521]

[257, 2557, 5227, 5527]

[263, 2633, 2663, 3623, 6263, 6323]

[269, 2269, 2699, 2969, 6229, 6269, 6299]

[271, 1217, 1277, 1721, 2711, 7121, 7127, 7211]

[277, 727, 2777, 7727]

[281, 821, 2281]

[283, 823, 2383, 2833, 3823]

[293, 2239, 2293, 2339, 2393, 2399, 2939, 3229, 3299, 3329, 3923, 3929]

[307, 3037, 3307, 7307, 7703]

[317, 1373, 1733, 3137, 3371, 7331]

[337, 373, 733, 773, 3373, 3733, 7333]

[347, 743, 3347, 4337, 4373, 4733, 7433]

[349, 439, 3449, 3499, 3943, 4339, 4349, 4493, 4933, 4943, 4993]

[353, 3533, 5333]

[359, 593, 953, 3359, 3539, 3559, 3593, 5393, 5399, 5939, 5953]

[367, 673, 3637, 3673, 3677, 3767, 6337, 6367, 6373, 6637, 6673, 6733, 6737, 6763, 7673]

[373, 733, 773, 3373, 3733, 7333]

[379, 397, 739, 937, 3739, 3779, 3793, 3797, 7393, 7793]

[383, 883, 3833]

[389, 839, 983, 3389, 3889, 3989]

[397, 739, 937, 3739, 3779, 3793, 3797, 7393, 7793]

[401, 4001]

[409, 4049, 4099, 4409, 4909]

[419, 491, 941, 1499, 1949, 4919]

[421, 2141, 2411, 2441, 4211, 4241, 4421]

[431, 1433, 3413, 4133]

[433, 443, 3343, 3433]

[439, 3449, 3499, 3943, 4339, 4349, 4493, 4933, 4943, 4993]

[443, 3343, 3433]

[449, 499, 4999]

[457, 547, 4457, 4547, 5477, 7457, 7547]

[461, 641]

[463, 643, 3463, 3643, 4363, 4463, 4643, 4663, 6343]

[467, 647]

[479, 947, 4799, 7499]

[487, 4787, 4877, 7487]

[491, 941, 1499, 1949, 4919]

[499, 4999]

[503, 5003, 5303, 5503]

[509, 5009, 5059, 5099]

[521, 2251, 2521, 2551, 5521]

[523, 3253, 5233, 5323]

[541, 1451, 4451, 5441]

Premiers quelconques – Même chiffres			haut
Record de quantité de nombres premiers ayant exactement les mêmes chiffres	[13, 31] [113, 131, 311] [149, 419, 491, 941] [1013, 1031, 1103, 1301, 3011] [1097, 1709, 1907, 7019, 7109, 7901] [1123, 1213, 1231, 1321, 2113, 2131, 2311, 3121] [1237, 1327, 1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321]
Liste de nombres premiers ayant exactement les mêmes chiffres: [13, 31] [17, 71] [37, 73] [79, 97] [107, 701] [113, 131, 311] [127, 271] [131, 311] [137, 173, 317] [139, 193] [149, 419, 491, 941] [157, 571, 751] [163, 613, 631] [167, 617, 761] [173, 317] [179, 197, 719, 971] [181, 811] [191, 911] [197, 719, 971] [199, 919, 991] [239, 293] [241, 421] [251, 521] [277, 727] [281, 821] [283, 823] [313, 331] [337, 373, 733] [347, 743] [349, 439] [359, 593, 953] [367, 673] [373, 733] [379, 397, 739, 937] [389, 839, 983] [397, 739, 937] [419, 491, 941] [457, 547] [461, 641] [463, 643] [467, 647] [479, 947] [491, 941] [563, 653] [569, 659] [571, 751] [577, 757] [587, 857] [593, 953] [613, 631] [617, 761] [619, 691] [683, 863] [709, 907] [719, 971] [739, 937] [769, 967] [787, 877] [797, 977] [839, 983] [919, 991] [1013, 1031, 1103, 1301, 3011] [1019, 1091, 1109, 1901] [1021, 1201, 2011] [1031, 1103, 1301, 3011] [1033, 1303, 3301] [1039, 1093, 3019, 3109] [1049, 1409, 4019, 4091] [1051, 5011, 5101] [1061, 1601, 6011, 6101] [1063, 3061, 6301] [1069, 1609, 6091] [1091, 1109, 1901] [1093, 3019, 3109] [1097, 1709, 1907, 7019, 7109, 7901] [1103, 1301, 3011] [1109, 1901] [1117, 1171] [1123, 1213, 1231, 1321, 2113, 2131, 2311, 3121] [1129, 1291] [1151, 1511] [1153, 1531, 3511, 5113] [1163, 1361, 1613, 6113, 6131, 6311] [1181, 1811] [1187, 1871] [1193, 1319, 1913, 1931, 3119, 3191, 3911] [1201, 2011] [1213, 1231, 1321, 2113, 2131, 2311, 3121] [1217, 1721, 2711, 7121, 7211] [1223, 2213, 3221] [1229, 2129] [1231, 1321, 2113, 2131, 2311, 3121] [1237, 1327, 1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321] [1249, 1429, 4129, 4219] [1259, 2591] [1277, 7127] [1279, 1297, 2179, 2719, 2791, 2917, 2971, 7129, 7219] [1283, 1823, 2381, 3821] [1289, 2819] [1297, 2179, 2719, 2791, 2917, 2971, 7129, 7219] [1301, 3011] [1303, 3301] [1307, 3701, 7013, 7103] [1319, 1913, 1931, 3119, 3191, 3911] [1321, 2113, 2131, 2311, 3121] [1327, 1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321] [1361, 1613, 6113, 6131, 6311] [1367, 1637, 3167, 3617, 3671, 3761, 6173, 6317] [1373, 1733, 3137, 3371, 7331] [1381, 1831, 3181] [1399, 1993, 3919] [1409, 4019, 4091] [1423, 2143, 2341, 4231] [1427, 2417, 2741, 4127, 4217, 4271, 4721] [1429, 4129, 4219] [1433, 3413, 4133] [1439, 1493, 3491, 4139, 4391, 4931] [1453, 1543, 3541, 4153, 4513, 5413, 5431] [1459, 1549, 4159, 4519, 4591, 4951, 5419] [1471, 1741, 7411] [1483, 4813, 4831] [1487, 1847, 4817, 4871, 7481, 7841] [1493, 3491, 4139, 4391, 4931] [1499, 1949, 4919] [1523, 2153, 2351, 2531, 3251, 5231] [1531, 3511, 5113] [1543, 3541, 4153, 4513, 5413, 5431] [1549, 4159, 4519, 4591, 4951, 5419] [1553, 5153, 5351, 5531] [1559, 5519, 5591] [1567, 1657, 5167, 6571, 7561] [1571, 5171, 5711, 7151] [1579, 1597, 1759, 5179, 5197, 5791, 7159, 7591] [1583, 3581, 3851, 5381, 5813] [1597, 1759, 5179, 5197, 5791, 7159, 7591] [1601, 6011, 6101] [1607, 6701] [1609, 6091] [1613, 6113, 6131, 6311] [1619, 6911] [1621, 2161, 6121, 6211] [1627, 2617, 2671, 6217, 6271, 7621] [1637, 3167, 3617, 3671, 3761, 6173, 6317] [1657, 5167, 6571, 7561] [1663, 6163, 6361] [1667, 6761] [1669, 6619, 6691, 6961] [1693, 3169, 3691] [1697, 6197, 6719, 6791, 6917, 6971, 7691] [1699, 6199, 6991]	[1709, 1907, 7019, 7109, 7901] [1721, 2711, 7121, 7211] [1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321] [1733, 3137, 3371, 7331] [1741, 7411] [1747, 4177, 7417, 7741] [1753, 3517, 3571, 7351] [1759, 5179, 5197, 5791, 7159, 7591] [1777, 7177, 7717] [1783, 1873, 3187] [1787, 1877, 7187, 7817] [1789, 1879, 1987] [1823, 2381, 3821] [1831, 3181] [1847, 4817, 4871, 7481, 7841] [1867, 6781, 6871, 7681] [1873, 3187] [1877, 7187, 7817] [1879, 1987] [1907, 7019, 7109, 7901] [1913, 1931, 3119, 3191, 3911] [1931, 3119, 3191, 3911] [1933, 3319, 3391, 3931] [1949, 4919] [1951, 5119] [1973, 3719, 3917, 7193] [1979, 1997, 7919] [1993, 3919] [1997, 7919] [2027, 2207] [2039, 2309, 2903, 3209] [2053, 2503, 5023] [2063, 6203] [2069, 2609, 6029] [2081, 2801] [2083, 2803] [2099, 2909] [2113, 2131, 2311, 3121] [2131, 2311, 3121] [2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321] [2141, 2411, 4211] [2143, 2341, 4231] [2153, 2351, 2531, 3251, 5231] [2161, 6121, 6211] [2179, 2719, 2791, 2917, 2971, 7129, 7219] [2213, 3221] [2237, 2273] [2239, 2293, 3229] [2243, 2423] [2251, 2521] [2269, 6229] [2293, 3229] [2297, 2729, 2927, 7229] [2309, 2903, 3209] [2311, 3121] [2333, 3323] [2339, 2393, 3329, 3923] [2341, 4231] [2347, 2437, 2473, 4273, 4327, 4723, 7243] [2351, 2531, 3251, 5231] [2357, 2753, 3257, 3527, 5237, 5273, 7253, 7523] [2371, 2713, 2731, 3217, 3271, 7213, 7321] [2377, 3727, 7237, 7723] [2381, 3821] [2383, 2833, 3823] [2393, 3329, 3923] [2399, 2939, 3299, 3929] [2411, 4211] [2417, 2741, 4127, 4217, 4271, 4721] [2437, 2473, 4273, 4327, 4723, 7243] [2441, 4241, 4421] [2459, 2549, 4259] [2467, 2647, 6247, 6427] [2473, 4273, 4327, 4723, 7243] [2477, 7247] [2503, 5023] [2531, 3251, 5231] [2539, 2593, 2953, 3259, 3529, 5923] [2543, 4253, 4523] [2549, 4259] [2551, 5521] [2557, 5527] [2579, 2957, 5279, 5297, 5927, 7529] [2593, 2953, 3259, 3529, 5923] [2609, 6029] [2617, 2671, 6217, 6271, 7621] [2621, 6221] [2633, 3623, 6323] [2647, 6247, 6427] [2657, 6257] [2659, 6529] [2663, 6263] [2671, 6217, 6271, 7621] [2677, 2767, 6277] [2683, 6823] [2687, 6287, 6827] [2689, 6829] [2693, 2963, 6329] [2699, 2969, 6299] [2707, 7027, 7207] [2711, 7121, 7211] [2713, 2731, 3217, 3271, 7213, 7321] [2719, 2791, 2917, 2971, 7129, 7219] [2729, 2927, 7229] [2731, 3217, 3271, 7213, 7321] [2741, 4127, 4217, 4271, 4721] [2749, 4297, 4729] [2753, 3257, 3527, 5237, 5273, 7253, 7523] [2767, 6277] [2777, 7727] [2789, 2879, 2897, 7829] [2791, 2917, 2971, 7129, 7219] [2797, 7297] [2833, 3823] [2837, 7283, 7823] [2843, 4283] [2851, 5281, 5821] [2857, 5827] [2879, 2897, 7829] [2897, 7829] [2903, 3209] [2917, 2971, 7129, 7219] [2927, 7229] [2939, 3299, 3929] [2953, 3259, 3529, 5923] [2957, 5279, 5297, 5927, 7529] [2963, 6329] [2969, 6299] [2971, 7129, 7219] [3019, 3109] [3023, 3203] [3037, 3307] [3041, 4013] [3049, 4093, 4903] [3061, 6301] [3067, 3607, 6037, 6073, 6703, 7603] [3079, 3709, 3907, 7039, 7309] [3083, 3803] [3119, 3191, 3911] [3137, 3371, 7331] [3163, 3361, 3613, 3631, 6133] [3167, 3617, 3671, 3761, 6173, 6317] [3169, 3691] [3191, 3911] [3217, 3271, 7213, 7321] [3251, 5231] [3253, 5233, 5323] [3257, 3527, 5237, 5273, 7253, 7523] [3259, 3529, 5923] [3271, 7213, 7321]	[3299, 3929] [3313, 3331] [3319, 3391, 3931] [3329, 3923] [3343, 3433] [3347, 4337, 4373, 4733, 7433] [3359, 3539, 3593, 5393] [3361, 3613, 3631, 6133] [3371, 7331] [3373, 3733, 7333] [3391, 3931] [3407, 4073, 4703, 7043] [3413, 4133] [3449, 4349, 4493, 4943] [3457, 3547, 4357, 5347, 5437, 5743] [3461, 6143] [3463, 3643, 4363, 6343] [3467, 4637, 4673, 6473, 7643] [3469, 4639] [3491, 4139, 4391, 4931] [3499, 4993] [3511, 5113] [3517, 3571, 7351] [3527, 5237, 5273, 7253, 7523] [3529, 5923] [3533, 5333] [3539, 3593, 5393] [3541, 4153, 4513, 5413, 5431] [3547, 4357, 5347, 5437, 5743] [3557, 5573] [3559, 5953] [3571, 7351] [3581, 3851, 5381, 5813] [3583, 3853] [3593, 5393] [3607, 6037, 6073, 6703, 7603] [3613, 3631, 6133] [3617, 3671, 3761, 6173, 6317] [3623, 6323] [3631, 6133] [3637, 3673, 6337, 6373, 6733] [3643, 4363, 6343] [3659, 5639, 5693, 6359] [3671, 3761, 6173, 6317] [3673, 6337, 6373, 6733] [3677, 3767, 6737, 7673] [3697, 3769, 3967, 6379, 6397, 6793, 7369, 7639] [3701, 7013, 7103] [3709, 3907, 7039, 7309] [3719, 3917, 7193] [3727, 7237, 7723] [3733, 7333] [3739, 3793, 7393] [3761, 6173, 6317] [3767, 6737, 7673] [3769, 3967, 6379, 6397, 6793, 7369, 7639] [3779, 3797, 7793] [3793, 7393] [3797, 7793] [3847, 4783] [3851, 5381, 5813] [3863, 6833] [3877, 7873] [3907, 7039, 7309] [3917, 7193] [3943, 4339, 4933] [3947, 4397, 4793, 4937, 4973, 7349] [3967, 6379, 6397, 6793, 7369, 7639] [4019, 4091] [4021, 4201] [4049, 4409] [4057, 4507, 5407] [4073, 4703, 7043] [4093, 4903] [4099, 4909] [4127, 4217, 4271, 4721] [4129, 4219] [4139, 4391, 4931] [4153, 4513, 5413, 5431] [4157, 4517, 4751, 5147, 5417, 5471, 5741, 7451, 7541] [4159, 4519, 4591, 4951, 5419] [4177, 7417, 7741] [4217, 4271, 4721] [4241, 4421] [4243, 4423] [4253, 4523] [4261, 4621, 6421] [4271, 4721] [4273, 4327, 4723, 7243] [4297, 4729] [4327, 4723, 7243] [4337, 4373, 4733, 7433] [4339, 4933] [4349, 4493, 4943] [4357, 5347, 5437, 5743] [4363, 6343] [4373, 4733, 7433] [4391, 4931] [4397, 4793, 4937, 4973, 7349] [4451, 5441] [4457, 4547] [4463, 4643] [4493, 4943] [4507, 5407] [4513, 5413, 5431] [4517, 4751, 5147, 5417, 5471, 5741, 7451, 7541] [4519, 4591, 4951, 5419] [4549, 5449] [4561, 4651, 5641, 6451] [4567, 4657, 5647, 6547] [4583, 5483, 5843] [4591, 4951, 5419] [4597, 4759, 4957, 5479, 5749, 7459, 7549] [4603, 6043] [4621, 6421] [4637, 4673, 6473, 7643] [4649, 6449] [4651, 5641, 6451] [4657, 5647, 6547] [4673, 6473, 7643] [4679, 4967, 6947, 7649] [4691, 6491] [4703, 7043] [4723, 7243] [4733, 7433] [4751, 5147, 5417, 5471, 5741, 7451, 7541] [4759, 4957, 5479, 5749, 7459, 7549] [4787, 4877, 7487] [4789, 4987, 7489] [4793, 4937, 4973, 7349] [4799, 7499] [4813, 4831] [4817, 4871, 7481, 7841] [4861, 6481, 6841] [4871, 7481, 7841] [4877, 7487] [4937, 4973, 7349] [4951, 5419] [4957, 5479, 5749, 7459, 7549] [4967, 6947, 7649] [4969, 6949] [4973, 7349] [4987, 7489] [5011, 5101] [5039, 5309, 5903] [5051, 5501] [5077, 7057, 7507] [5081, 5801] [5087, 5807]

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Suite	Nombres premiers – Index FAQ sur les nombres premiers
Voir	Liste de nombres premiers Consécutifs Facteurs premiers autour de 1000 Jumeaux Nombres composés Premiers en tableaux, en spirales … Représentation des nombres Séquences
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