Accueil Orientation générale Barre de recherche

DicoNombre DicoMot Math DicoCulture

Atlas des maths Rubriques Index alphabétique

Nouveautés Actualités Références

Édition du: 21/12/2021 M'écrire Brèves de Maths

INDEX Tables – Puissances Types de nombres	Tables – Puissances
	Sommes de cubes	SomPuis des nbs	SomPuis d'un nb	Puis = SomPuis
	S = 1^1 + 2^2 + …	Cunningham

Nombres binomiaux a^n + b^n et a^n – b^n TABLES Nombres de Cunningham généralisés (ou nombres binomiaux): nombres à égaux à la somme de deux nombres à la même puissance. Avec (a, b et n) > 1. Les triplets de Pythagore sont un cas particulier de ces nombres binomiaux.
	Sommaire de cette page >>> C+ >>> C- >>> Table pour a et b de 2 à 10 et n de 2 à 5 >>> Nombres binomiaux (C+ et C-) jusqu'à 1000 >>> Sommes en 2^a + 3^b et autres	Débutants Nombres Glossaire Nombres

C^+(a,b,n) – 37 valeurs jusqu'à 100

haut

Lecture: [8, 2, 2, 2, f, 2^3] => 8 = 2² + 2² et sa factorisation est 2^3 = 2^3 [8, 2, 2, 2, f, 2^3], [13, 2, 3, 2, f, 13], [16, 3, 2, 2, f, 2^4], [18, 2, 3, 3, f, 2*3^2], [20, 2, 4, 2, f, 5*2^2], [25, 2, 4, 3, f, 5^2], [29, 2, 5, 2, f, 29], [32, 2, 4, 4, f, 2^5], [32, 4, 2, 2, f, 2^5], [34, 2, 5, 3, f, 2*17], [35, 3, 3, 2, f, 5*7], [40, 2, 6, 2, f, 5*2^3], [41, 2, 5, 4, f, 41], [45, 2, 6, 3, f, 5*3^2], [50, 2, 5, 5, f, 2*5^2], [52, 2, 6, 4, f, 13*2^2], [53, 2, 7, 2, f, 53], [54, 3, 3, 3, f, 2*3^3], [58, 2, 7, 3, f, 2*29], [61, 2, 6, 5, f, 61], [64, 5, 2, 2, f, 2^6], [65, 2, 7, 4, f, 5*13], [68, 2, 8, 2, f, 17*2^2], [72, 2, 6, 6, f, 2^3*3^2], [72, 3, 4, 2, f, 2^3*3^2], [73, 2, 8, 3, f, 73], [74, 2, 7, 5, f, 2*37], [80, 2, 8, 4, f, 5*2^4], [85, 2, 7, 6, f, 5*17], [85, 2, 9, 2, f, 5*17], [89, 2, 8, 5, f, 89], [90, 2, 9, 3, f, 2*3^2*5], [91, 3, 4, 3, f, 7*13], [97, 2, 9, 4, f, 97], [97, 4, 3, 2, f, 97], [98, 2, 7, 7, f, 2*7^2], [100, 2, 8, 6, f, 2^2*5^2], …

Voir Cubes = Somme de cubes / Sommes de cubes – Nombres Taxicab

C^-(a,b,n) – 114 valeurs jusqu'à 100

haut

Lecture: [5, 2, 3, 2, f, 5] => 8 = 3² – 2² et sa factorisation est 5, il est premier. [5, 2, 3, 2, f, 5], [7, 2, 4, 3, f, 7], [9, 2, 5, 4, f, 3^2], [11, 2, 6, 5, f, 11], [12, 2, 4, 2, f, 3*2^2], [13, 2, 7, 6, f, 13], [15, 2, 8, 7, f, 3*5], [16, 2, 5, 3, f, 2^4], [17, 2, 9, 8, f, 17], [19, 2, 10, 9, f, 19], [19, 3, 3, 2, f, 19], [20, 2, 6, 4, f, 5*2^2], [21, 2, 5, 2, f, 3*7], [21, 2, 11, 10, f, 3*7], [23, 2, 12, 11, f, 23], [24, 2, 7, 5, f, 3*2^3], [25, 2, 13, 12, f, 5^2], [27, 2, 6, 3, f, 3^3], [27, 2, 14, 13, f, 3^3], [28, 2, 8, 6, f, 7*2^2], [29, 2, 15, 14, f, 29], [31, 2, 16, 15, f, 31], [32, 2, 6, 2, f, 2^5], [32, 2, 9, 7, f, 2^5], [33, 2, 7, 4, f, 3*11], [33, 2, 17, 16, f, 3*11], [35, 2, 18, 17, f, 5*7], [36, 2, 10, 8, f, 2^2*3^2], [37, 2, 19, 18, f, 37], [37, 3, 4, 3, f, 37], [39, 2, 8, 5, f, 3*13], [39, 2, 20, 19, f, 3*13], [40, 2, 7, 3, f, 5*2^3], [40, 2, 11, 9, f, 5*2^3], [41, 2, 21, 20, f, 41], [43, 2, 22, 21, f, 43], [44, 2, 12, 10, f, 11*2^2], [45, 2, 7, 2, f, 5*3^2], [45, 2, 9, 6, f, 5*3^2], [45, 2, 23, 22, f, 5*3^2], [47, 2, 24, 23, f, 47], [48, 2, 8, 4, f, 3*2^4], [48, 2, 13, 11, f, 3*2^4], [49, 2, 25, 24, f, 7^2], [51, 2, 10, 7, f, 3*17], [51, 2, 26, 25, f, 3*17], [52, 2, 14, 12, f, 13*2^2], [53, 2, 27, 26, f, 53], [55, 2, 8, 3, f, 5*11], [55, 2, 28, 27, f, 5*11], [56, 2, 9, 5, f, 7*2^3], [56, 2, 15, 13, f, 7*2^3], [56, 3, 4, 2, f, 7*2^3], [57, 2, 11, 8, f, 3*19], [57, 2, 29, 28, f, 3*19], [59, 2, 30, 29, f, 59], [60, 2, 8, 2, f, 3*2^2*5], [60, 2, 16, 14, f, 3*2^2*5], [61, 2, 31, 30, f, 61], [61, 3, 5, 4, f, 61], [63, 2, 12, 9, f, 7*3^2], [63, 2, 32, 31, f, 7*3^2], [64, 2, 10, 6, f, 2^6], [64, 2, 17, 15, f, 2^6], [65, 2, 9, 4, f, 5*13], [65, 2, 33, 32, f, 5*13], [65, 4, 3, 2, f, 5*13], [67, 2, 34, 33, f, 67], [68, 2, 18, 16, f, 17*2^2], [69, 2, 13, 10, f, 3*23], [69, 2, 35, 34, f, 3*23], [71, 2, 36, 35, f, 71], [72, 2, 9, 3, f, 2^3*3^2], [72, 2, 11, 7, f, 2^3*3^2], [72, 2, 19, 17, f, 2^3*3^2], [73, 2, 37, 36, f, 73], [75, 2, 10, 5, f, 3*5^2], [75, 2, 14, 11, f, 3*5^2], [75, 2, 38, 37, f, 3*5^2], [76, 2, 20, 18, f, 19*2^2], [77, 2, 9, 2, f, 7*11], [77, 2, 39, 38, f, 7*11], [79, 2, 40, 39, f, 79], [80, 2, 12, 8, f, 5*2^4], [80, 2, 21, 19, f, 5*2^4], [81, 2, 15, 12, f, 3^4], [81, 2, 41, 40, f, 3^4], [83, 2, 42, 41, f, 83], [84, 2, 10, 4, f, 3*2^2*7], [84, 2, 22, 20, f, 3*2^2*7], [85, 2, 11, 6, f, 5*17], [85, 2, 43, 42, f, 5*17], [87, 2, 16, 13, f, 3*29], [87, 2, 44, 43, f, 3*29], [88, 2, 13, 9, f, 11*2^3], [88, 2, 23, 21, f, 11*2^3], [89, 2, 45, 44, f, 89], [91, 2, 10, 3, f, 7*13], [91, 2, 46, 45, f, 7*13], [91, 3, 6, 5, f, 7*13], [92, 2, 24, 22, f, 23*2^2], [93, 2, 17, 14, f, 3*31], [93, 2, 47, 46, f, 3*31], [95, 2, 12, 7, f, 5*19], [95, 2, 48, 47, f, 5*19], [96, 2, 10, 2, f, 3*2^5], [96, 2, 11, 5, f, 3*2^5], [96, 2, 14, 10, f, 3*2^5], [96, 2, 25, 23, f, 3*2^5], [97, 2, 49, 48, f, 97], [98, 3, 5, 3, f, 2*7^2], [99, 2, 18, 15, f, 11*3^2], [99, 2, 50, 49, f, 11*3^2], [100, 2, 26, 24, f, 2^2*5^2], …

Table pour a et b de 2 à 10 et n de 2 à 5

a	b	n	a^n + b^n		a^n – b^n
3	2	2	13	13	5	5
3	2	3	35	5×7	19	19
3	2	4	97	97	65	5×13
3	2	5	275	5^2×11	211	211
4	2	2	20	2^2×5	12	2^2×3
4	2	3	72	2^3×3^2	56	2^3×7
4	2	4	272	2^4×17	240	2^4×3×5
4	2	5	1056	2^5×3×11	992	2^5×31
4	3	2	25	5^2	7	7
4	3	3	91	7×13	37	37
4	3	4	337	337	175	5^2×7
4	3	5	1267	7×181	781	11×71
5	2	2	29	29	21	3×7
5	2	3	133	7×19	117	3^2×13
5	2	4	641	641	609	3×7×29
5	2	5	3157	7×11×41	3093	3×1031
5	3	2	34	2×17	16	2^4
5	3	3	152	2^3×19	98	2×7^2
5	3	4	706	2×353	544	2^5×17
5	3	5	3368	2^3×421	2882	2×11×131
5	4	2	41	41	9	3^2
5	4	3	189	3^3×7	61	61
5	4	4	881	881	369	3^2×41
5	4	5	4149	3^2×461	2101	11×191
6	2	2	40	2^3×5	32	2^5
6	2	3	224	2^5×7	208	2^4×13
6	2	4	1312	2^5×41	1280	2^8×5
6	2	5	7808	2^7×61	7744	2^6×11^2
6	3	2	45	3^2×5	27	3^3
6	3	3	243	35	189	3^3×7
6	3	4	1377	3^4×17	1215	3^5×5
6	3	5	8019	3^6×11	7533	3^5×31
6	4	2	52	2^2×13	20	2^2×5
6	4	3	280	2^3×5×7	152	2^3×19
6	4	4	1552	2^4×97	1040	2^4×5×13
6	4	5	8800	2^5×5^2×11	6752	2^5×211
6	5	2	61	61	11	11
6	5	3	341	11×31	91	7×13
6	5	4	1921	17×113	671	11×61
6	5	5	10901	11×991	4651	4651
7	2	2	53	53	45	3^2×5
7	2	3	351	3^3×13	335	5×67
7	2	4	2417	2417	2385	3^2×5×53
7	2	5	16839	3^2×1871	16775	5^2×11×61
7	3	2	58	2×29	40	2^3×5
7	3	3	370	2×5×37	316	2^2×79
7	3	4	2482	2×17×73	2320	2^4×5×29
7	3	5	17050	2×5^2×11×31	16564	2^2×41×101
7	4	2	65	5×13	33	3×11
7	4	3	407	11×37	279	3^2×31
7	4	4	2657	2657	2145	3×5×11×13
7	4	5	17831	11×1621	15783	3×5261
7	5	2	74	2×37	24	2^3×3
7	5	3	468	2^2×3^2×13	218	2×109
7	5	4	3026	2×17×89	1776	2^4×3×37
7	5	5	19932	2^2×3×11×151	13682	2×6841
7	6	2	85	5×17	13	13
7	6	3	559	13×43	127	127
7	6	4	3697	3697	1105	5×13×17
7	6	5	24583	13×31×61	9031	11×821
8	2	2	68	2^2×17	60	2^2×3×5
8	2	3	520	2^3×5×13	504	2^3×3^2×7
8	2	4	4112	2^4×257	4080	2^4×3×5×17
8	2	5	32800	2^5×5^2×41	32736	2^5×3×11×31
8	3	2	73	73	55	5×11
8	3	3	539	7^2×11	485	5×97
8	3	4	4177	4177	4015	5×11×73
8	3	5	33011	11×3001	32525	5^2×1301
8	4	2	80	2^4×5	48	2^4×3
8	4	3	576	2^6×3^2	448	2^6×7
8	4	4	4352	2^8×17	3840	2^8×3×5
8	4	5	33792	2^10×3×11	31744	2^10×31
8	5	2	89	89	39	3×13
8	5	3	637	7^2×13	387	3^2×43
8	5	4	4721	4721	3471	3×13×89
8	5	5	35893	11×13×251	29643	3×41×241
8	6	2	100	2^2×5^2	28	2^2×7
8	6	3	728	2^3×7×13	296	2^3×37
8	6	4	5392	2^4×337	2800	2^4×5^2×7
8	6	5	40544	2^5×7×181	24992	2^5×11×71
8	7	2	113	113	15	3×5
8	7	3	855	3^2×5×19	169	13^2
8	7	4	6497	73×89	1695	3×5×113
8	7	5	49575	3×5^2×661	15961	11×1451
9	2	2	85	5×17	77	7×11
9	2	3	737	11×67	721	7×103
9	2	4	6577	6577	6545	5×7×11×17
9	2	5	59081	11×41×131	59017	7×8431
9	3	2	90	2×3^2×5	72	2^3×3^2
9	3	3	756	2^2×3^3×7	702	2×3^3×13
9	3	4	6642	2×3^4×41	6480	2^4×3^4×5
9	3	5	59292	2^2×3^5×61	58806	2×3^5×11^2
9	4	2	97	97	65	5×13
9	4	3	793	13×61	665	5×7×19
9	4	4	6817	17×401	6305	5×13×97
9	4	5	60073	13×4621	58025	5^2×11×211
9	5	2	106	2×53	56	2^3×7
9	5	3	854	2×7×61	604	2^2×151
9	5	4	7186	2×3593	5936	2^4×7×53
9	5	5	62174	2×7×4441	55924	2^2×11×31×41
9	6	2	117	3^2×13	45	3^2×5
9	6	3	945	3^3×5×7	513	3^3×19
9	6	4	7857	3^4×97	5265	3^4×5×13
9	6	5	66825	3^5×5^2×11	51273	3^5×211
9	7	2	130	2×5×13	32	2^6
9	7	3	1072	2^4×67	386	2×193
9	7	4	8962	2×4481	4160	2^6×5×13
9	7	5	75856	2^4×11×431	42242	2×21121
9	8	2	145	5×29	17	17
9	8	3	1241	17×73	217	7×31
9	8	4	10657	10657	2465	5×17×29
9	8	5	91817	11×17×491	26281	41×641
10	2	2	104	2^^3×13	96	2^^5×3
10	2	3	1008	2^4×3^2×7	992	2^5×31
10	2	4	10016	2^5×313	9984	2^8×3×13
10	2	5	100032	2^6×3×521	99968	2^7×11×71
10	3	2	109	109	91	7×13
10	3	3	1027	13×79	973	7×139
10	3	4	10081	17×593	9919	7×13×109
10	3	5	100243	11×13×701	99757	7×14251
10	4	2	116	2^2×29	84	2^2×3×7
10	4	3	1064	2^3×7×19	936	2^3×3^2×13
10	4	4	10256	2^4×641	9744	2^4×3×7×29
10	4	5	101024	2^5×7×11×41	98976	2^5×3×1031
10	5	2	125	5^3	75	3×5^2
10	5	3	1125	3^2×5^3	875	5^3×7
10	5	4	10625	5^4×17	9375	3×5^5
10	5	5	103125	3×5^5×11	96875	5^5×31
10	6	2	136	2^3×17	64	2^6
10	6	3	1216	2^6×19	784	2^4×7^2
10	6	4	11296	2^5×353	8704	2^9×17
10	6	5	107776	2^8×421	92224	2^^6×11×131
10	7	2	149	149	51	3×17
10	7	3	1343	17×79	657	3^2×73
10	7	4	12401	12401	7599	3×17×149
10	7	5	116807	17×6871	83193	3×11×2521
10	8	2	164	2^2×41	36	2^2×3^2
10	8	3	1512	2^3×3^3×7	488	2^3×61
10	8	4	14096	2^4×881	5904	2^4×3^2×41
10	8	5	132768	2^5×3^^2×461	67232	2^5×11×191
10	9	2	181	181	19	19
10	9	3	1729	7×13×19	271	271
10	9	4	16561	16561	3439	19×181
10	9	5	159049	11×19×761	40951	31×1321

Les 495 nombres binomiaux (C+ et C-) jusqu'à 1000

5, 7, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 45, 48, 51, 52, 53, 55, 56, 57, 58, 60, 61, 63, 64, 65, 68, 69, 72, 73, 74, 75, 76, 77, 80, 81, 84, 85, 87, 88, 89, 90, 91, 93, 95, 96, 97, 98, 99, 100, 104, 105, 106, 108, 109, 111, 112, 113, 115, 116, 117, 119, 120, 123, 125, 127, 128, 129, 130, 132, 133, 135, 136, 137, 140, 144, 145, 146, 147, 148, 149, 152, 153, 155, 156, 157, 160, 161, 164, 165, 168, 169, 170, 171, 173, 175, 176, 178, 180, 181, 185, 187, 189, 192, 193, 194, 195, 200, 202, 203, 204, 205, 207, 208, 209, 211, 212, 215, 216, 217, 218, 220, 221, 224, 225, 228, 229, 231, 232, 233, 234, 240, 241, 243, 244, 245, 247, 250, 252, 253, 256, 259, 260, 261, 264, 265, 269, 272, 273, 274, 275, 277, 279, 280, 281, 285, 287, 288, 289, 290, 292, 293, 296, 297, 298, 299, 300, 301, 304, 305, 306, 308, 312, 313, 314, 315, 316, 317, 319, 320, 325, 328, 333, 335, 336, 337, 338, 340, 341, 345, 346, 349, 351, 352, 353, 356, 357, 360, 363, 364, 365, 369, 370, 373, 375, 377, 380, 384, 385, 386, 387, 388, 389, 391, 392, 394, 396, 397, 400, 403, 404, 405, 407, 408, 409, 410, 416, 420, 421, 424, 425, 429, 432, 433, 435, 436, 437, 442, 445, 448, 449, 450, 451, 452, 455, 456, 457, 458, 459, 461, 464, 465, 466, 468, 473, 475, 476, 477, 480, 481, 482, 485, 488, 490, 493, 495, 500, 504, 505, 507, 509, 512, 513, 514, 520, 521, 522, 525, 527, 530, 532, 533, 538, 539, 540, 541, 544, 545, 548, 549, 551, 554, 555, 557, 559, 560, 561, 562, 565, 567, 569, 572, 576, 578, 580, 584, 585, 586, 588, 589, 592, 593, 595, 596, 600, 601, 604, 605, 608, 609, 610, 612, 613, 615, 616, 617, 621, 625, 627, 628, 629, 634, 637, 640, 641, 648, 650, 651, 653, 656, 657, 660, 661, 663, 665, 666, 667, 672, 673, 674, 676, 680, 684, 685, 689, 692, 693, 697, 698, 701, 702, 703, 704, 706, 709, 712, 713, 720, 721, 724, 725, 728, 730, 733, 735, 737, 738, 740, 741, 745, 746, 748, 754, 756, 757, 759, 760, 761, 765, 768, 769, 772, 773, 775, 776, 777, 778, 780, 785, 788, 792, 793, 794, 797, 800, 801, 802, 805, 808, 809, 810, 816, 818, 819, 820, 821, 825, 829, 832, 833, 836, 837, 841, 845, 848, 850, 851, 853, 854, 855, 857, 864, 865, 866, 872, 873, 875, 877, 881, 884, 890, 891, 896, 898, 900, 901, 904, 905, 909, 914, 916, 922, 925, 928, 929, 932, 936, 937, 941, 945, 949, 952, 953, 954, 957, 962, 964, 965, 970, 976, 977, 980, 981, 985, 986, 997, 1000

Suite de ces tables pour les grands nombres sur le site indiqué

Sommes doubles en 2^a +3^b et autres
Trois nombres en 2^a + 3^b deux fois 11 = 2^1 + 3^2 = 2^3 + 3^1 35 = 2^3 + 3^3 = 2^5 + 3^1 259 = 2^8 + 3^1 = 2^4 + 3^5 Un nombre en 2^a + 5^b deux fois 133 = 2^3 + 5^3 = 2^7 + 3^1			Aucun nombre en 2^a + 7^b deux fois Aucun nombre en 2^a + 11^b deux fois Aucun nombre en 3^a + 5^b deux fois Aucun nombre en 3^a + 7^b deux fois Aucun nombre en 3^a + 11^b deux fois Aucun nombre en 5^a + 7^b deux fois Aucun nombre en 5^a + 11^b deux fois
Cent-dix sommes DOUBLES en 2a + 3b + 5c

Haut de page

Retour	Nombres de Cunningham simples Nombres de Cunningham généralisés
Suite	Cubes Bicarrés Triplets de Pythagore
Voir	Table des puissances des nombres Problème de la somme des trois cubes Somme multi puissantes Somme de puissances Voir liste en Pour s'y retrouver
Site	Homogeneous Cunningham Numbers – Tables des nombres de Cunningham généralisés factorisés
Cette page	http://villemin.gerard.free.fr/TABLES/aaaPuiss/Cunnin.htm