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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