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Édition du: 15/04/2026 |
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INDEX |
Types de Nombres – Motifs |
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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] |
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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 Glossaire |
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Même jeu de chiffres Cas de deux nombres
premiers successifs qui possèdent le même jeu de chiffres. Ainsi, le 64e
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 |
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Mêmes chiffres Cas de deux nombres
premiers successifs qui possèdent exactement les mêmes chiffres. Ainsi, le 293e
nombre premier est 1913 et le suivant est 1931. Chacun est composé de deux 1,
un 3 et un 9. 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 |
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Chaque ligne indique
quels sont les nombres premiers jusqu'au 1000e (7 919) qui ont le
même jeu de chiffres que le premier de la liste (jusqu'au 100e
(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] |
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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] |
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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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