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Types de Nombres

 

Débutants

Général

Selon leurs diviseurs

 

Glossaire

Général

 

 

INDEX

 

Types de nombres

 

Parfaits

Semi-parfaits (SP)

SP Primitifs

SP Primaire

Refactorisables

Pratiques

Abondant primitifs

Giuga

Facteurs-Diviseurs

Intouchables

Curzon

 

Sommaire de cette page

>>> Nombre de Curzon

>>> Propriétés

>>> Liste

 

 

 

Famille

Nombre / Division  / Diviseurs

Définition

 

Nombres de Curzon : nombre n tel que:

2n + 1 est divisible par 2n + 1

 

Exemples

 

 

Propriétés

 

Général

Nom donné par James J. Tattersall,

Dans son livre: Elementary Number Theory in Nine Chapters, Second Edition, Cambridge University Press.

 

 

Liste des nombres de Curzon

 

Ils sont 1 141  jusqu'à 10 000

 

1, 2, 5, 6, 9, 14, 18, 21, 26, 29, 30, 33, 41, 50, 53, 54, 65, 69, 74, 78, 81, 86, 89, 90, 98, 105, 113, 114, 125, 134, 138, 141, 146, 153, 158, 165, 173, 174, 186, 189, 194, 198, 209, 210, 221, 230, 233, 245, 249, 254, 261, 270, 273, 278, 281, 285, 293, 306, 309, 321, 326, 329, 330, 338, 341, 345, 350, 354, 366, 369, 378, 386, 393, 398, 405, 410, 413, 414, 426, 429, 438, 441, 453, 470, 473, 485, 498, 506, 509, 510, 525, 530, 534, 545, 546, 554, 558, 561, 581, 585, 590, 593, 606, 614, 618, 629, 638, 641, 645, 650, 653, 686, 690, 713, 714, 725, 726, 729, 741, 746, 749, 761, 765, 774, 785, 789, 798, 806, 809, 810, 813, 818, 833, 834, 846, 849, 854, 861, 866, 870, 873, 893, 894, 905, 930, 933, 938, 950, 953, 965, 966, 974, 986, 989, 993, 998, 1001, 1005, 1013, 1014, 1026, 1034, 1041, 1049, 1065, 1070, 1089, 1101, 1106, 1110, 1118, 1121, 1125, 1133, 1134, 1146, 1154, 1166, 1169, 1170, 1173, 1178, 1185, 1190, 1194, 1205, 1218, 1229, 1233, 1238, 1265, 1269, 1274, 1278, 1289, 1310, 1329, 1338, 1341, 1346, 1349, 1353, 1365, 1370, 1374, 1394, 1398, 1401, 1409, 1418, 1421, 1425, 1430, 1454, 1458, 1469, 1478, 1481, 1485, 1505, 1509, 1518, 1530, 1533, 1541, 1554, 1581, 1590, 1593, 1601, 1610, 1614, 1625, 1626, 1629, 1638, 1649, 1650, 1653, 1661, 1665, 1673, 1685, 1686, 1694, 1706, 1730, 1733, 1734, 1745, 1749, 1758, 1766, 1769, 1770, 1773, 1778, 1785, 1790, 1806, 1818, 1821, 1829, 1838, 1845, 1850, 1854, 1866, 1869, 1889, 1898, 1901, 1910, 1925, 1926, 1938, 1953, 1958, 1961, 1965, 1973, 1994, 2001, 2006, 2009, 2010, 2013, 2025, 2045, 2046, 2049, 2066, 2069, 2078, 2105, 2109, 2114, 2121, 2126, 2129, 2130, 2141, 2169, 2174, 2178, 2181, 2186, 2198, 2210, 2225, 2241, 2246, 2253, 2258, 2261, 2273, 2274, 2298, 2301, 2310, 2318, 2321, 2325, 2345, 2361, 2366, 2393, 2394, 2406, 2430, 2438, 2454, 2465, 2466, 2478, 2486, 2493, 2501, 2505, 2510, 2525, 2529, 2538, 2549, 2550, 2553, 2573, 2585, 2589, 2594, 2598, 2613, 2618, 2630, 2654, 2661, 2666, 2673, 2690, 2693, 2706, 2709, 2718, 2721, 2738, 2741, 2750, 2753, 2765, 2778, 2781, 2786, 2790, 2825, 2826, 2829, 2834, 2841, 2846, 2850, 2858, 2870, 2874, 2889, 2906, 2910, 2913, 2921, 2925, 2930, 2933, 2934, 2961, 2969, 2990, 2993, 3005, 3014, 3018, 3021, 3026, 3033, 3045, 3050, 3065, 3066, 3081, 3086, 3098, 3101, 3105, 3110, 3114, 3134, 3138, 3149, 3150, 3158, 3161, 3186, 3189, 3194, 3198, 3210, 3213, 3225, 3234, 3245, 3273, 3281, 3285, 3290, 3309, 3318, 3326, 3329, 3330, 3345, 3350, 3354, 3366, 3381, 3389, 3390, 3401, 3413, 3414, 3434, 3441, 3449, 3453, 3458, 3473, 3474, 3485, 3498, 3506, 3509, 3513, 3521, 3534, 3554, 3593, 3605, 3606, 3609, 3614, 3618, 3621, 3626, 3641, 3653, 3654, 3665, 3666, 3674, 3705, 3725, 3729, 3738, 3749, 3753, 3758, 3761, 3770, 3773, 3774, 3786, 3794, 3801, 3810, 3821, 3834, 3845, 3849, 3858, 3861, 3870, 3878, 3894, 3914, 3926, 3933, 3938, 3941, 3950, 3953, 3966, 3974, 3981, 4005, 4026, 4029, 4034, 4046, 4050, 4058, 4061, 4073, 4085, 4089, 4109, 4110, 4118, 4121, 4134, 4145, 4146, 4158, 4181, 4193, 4194, 4209, 4214, 4221, 4230, 4233, 4250, 4269, 4281, 4286, 4290, 4298, 4313, 4314, 4334, 4338, 4346, 4349, 4353, 4365, 4370, 4373, 4389, 4401, 4409, 4410, 4418, 4430, 4433, 4446, 4461, 4466, 4470, 4481, 4485, 4505, 4506, 4514, 4521, 4529, 4533, 4545, 4554, 4566, 4578, 4586, 4590, 4593, 4601, 4610, 4613, 4638, 4641, 4646, 4661, 4670, 4674, 4685, 4698, 4701, 4706, 4709, 4710, 4718, 4730, 4733, 4745, 4766, 4769, 4773, 4793, 4806, 4809, 4814, 4821, 4830, 4838, 4866, 4869, 4874, 4890, 4893, 4901, 4905, 4914, 4925, 4929, 4941, 4950, 4953, 4961, 4965, 4970, 4974, 4986, 5018, 5030, 5033, 5034, 5045, 5046, 5049, 5066, 5069, 5070, 5081, 5090, 5105, 5121, 5126, 5129, 5133, 5150, 5165, 5166, 5178, 5213, 5214, 5226, 5229, 5238, 5249, 5250, 5265, 5294, 5298, 5306, 5313, 5325, 5333, 5345, 5354, 5361, 5366, 5369, 5385, 5390, 5394, 5418, 5426, 5429, 5430, 5433, 5441, 5445, 5454, 5469, 5474, 5478, 5486, 5489, 5493, 5501, 5513, 5529, 5534, 5541, 5546, 5558, 5565, 5574, 5585, 5586, 5598, 5606, 5621, 5625, 5630, 5649, 5658, 5705, 5718, 5721, 5733, 5741, 5745, 5774, 5789, 5793, 5798, 5810, 5838, 5849, 5850, 5858, 5865, 5889, 5894, 5906, 5910, 5913, 5933, 5954, 5961, 5966, 5969, 5970, 5985, 5990, 5993, 6005, 6018, 6021, 6050, 6053, 6054, 6074, 6078, 6081, 6098, 6101, 6105, 6113, 6125, 6126, 6134, 6138, 6150, 6161, 6173, 6186, 6189, 6206, 6210, 6218, 6225, 6245, 6258, 6269, 6270, 6273, 6294, 6305, 6306, 6309, 6318, 6326, 6329, 6369, 6378, 6381, 6390, 6410, 6414, 6426, 6446, 6449, 6453, 6458, 6461, 6470, 6486, 6489, 6501, 6518, 6521, 6546, 6549, 6554, 6573, 6581, 6585, 6593, 6609, 6614, 6629, 6633, 6645, 6654, 6665, 6669, 6690, 6698, 6705, 6710, 6725, 6734, 6738, 6749, 6761, 6798, 6806, 6809, 6813, 6834, 6845, 6846, 6854, 6861, 6878, 6881, 6890, 6894, 6914, 6929, 6938, 6941, 6950, 6953, 6965, 6966, 6981, 6998, 7005, 7014, 7025, 7041, 7053, 7074, 7086, 7098, 7110, 7121, 7125, 7146, 7161, 7170, 7173, 7193, 7194, 7205, 7209, 7218, 7230, 7266, 7274, 7278, 7281, 7310, 7313, 7314, 7326, 7334, 7341, 7349, 7358, 7361, 7365, 7370, 7373, 7385, 7389, 7398, 7406, 7410, 7413, 7421, 7425, 7433, 7434, 7445, 7461, 7469, 7473, 7478, 7506, 7526, 7530, 7538, 7541, 7545, 7550, 7553, 7565, 7569, 7574, 7586, 7593, 7613, 7629, 7634, 7638, 7649, 7653, 7665, 7674, 7686, 7706, 7713, 7721, 7725, 7730, 7733, 7746, 7770, 7790, 7809, 7814, 7821, 7830, 7833, 7841, 7865, 7866, 7869, 7874, 7886, 7893, 7898, 7901, 7929, 7938, 7950, 7953, 7961, 7985, 7986, 8030, 8033, 8034, 8045, 8069, 8070, 8093, 8094, 8114, 8126, 8133, 8150, 8166, 8169, 8174, 8181, 8190, 8205, 8210, 8213, 8225, 8226, 8238, 8246, 8273, 8286, 8301, 8309, 8325, 8330, 8345, 8346, 8349, 8370, 8373, 8381, 8393, 8405, 8414, 8421, 8441, 8450, 8465, 8481, 8489, 8490, 8493, 8505, 8510, 8513, 8514, 8526, 8538, 8546, 8549, 8553, 8558, 8561, 8594, 8601, 8645, 8646, 8649, 8658, 8666, 8670, 8693, 8694, 8709, 8721, 8733, 8738, 8741, 8745, 8754, 8769, 8786, 8789, 8790, 8798, 8813, 8829, 8834, 8841, 8853, 8873, 8874, 8894, 8913, 8918, 8925, 8945, 8954, 8961, 8969, 8978, 8985, 8990, 8993, 8994, 9006, 9021, 9029, 9030, 9038, 9065, 9066, 9074, 9090, 9105, 9114, 9125, 9126, 9134, 9150, 9153, 9170, 9185, 9189, 9198, 9206, 9213, 9221, 9225, 9230, 9246, 9258, 9261, 9269, 9270, 9293, 9318, 9330, 9345, 9350, 9365, 9374, 9378, 9386, 9393, 9398, 9401, 9429, 9434, 9449, 9458, 9473, 9486, 9489, 9506, 9518, 9525, 9534, 9569, 9570, 9578, 9581, 9590, 9605, 9606, 9609, 9618, 9629, 9633, 9650, 9654, 9666, 9686, 9689, 9690, 9693, 9701, 9710, 9713, 9714, 9734, 9738, 9741, 9750, 9753, 9765, 9770, 9785, 9798, 9801, 9830, 9849, 9854, 9858, 9869, 9881, 9906, 9909, 9921, 9926, 9930, 9933, 9945, 9974, 9981, 9986, 9989, 9998

 

 

 

Anglais

 

 

 

 

 

Voir

*  Nombre de Giuga

*Nombres refactorisables

*  Diviseurs

*  Factorielles

*  Dénombrement – Combinatoire

*  Compter les sous-ensembles

*  Énigmes de pesées

Sites

*  Curzon numbers – Numbers Aplenty

*  Curzon numbers – GeeksforGeeks

*  A224486 – Numbers n such that 2n+1 divides 2^n+1.

Cette page

http://villemin.gerard.free.fr/aNombre/TYPDIVIS/Curzon.htm