Carré somme de premiers consécutifs

Quantité de premiers	Carrés	Cubes
2	6² = 36 = 17 + 19 10² = 100 = 47 + 53	2³ = 8 = 3 + 5 6³ = 216 = 107 + 109
3	7² = 49 = 13 + 17 + 19 11² = 121 = 37 + 41 + 43	11³ = 1331 = 439 + 443 + 449 47³ = 103823 = 34603 + 34607 + 34613
4	6² = 36 = 5 + 7 + 11 + 13 18² = 324 = 73 + 79 + 83 + 89	268³ = 19248832 = 4812191 + 4812193 + 4812209 + 4812239 294³ = 25412184 = 6353029 + 6353033 + 6353051 + 6353071

Quantité

de premiers

Carrés

Cubes

6² = 36 = 17 + 19

10² = 100 = 47 + 53

2³ = 8 = 3 + 5

6³ = 216 = 107 + 109

7² = 49 = 13 + 17 + 19

11² = 121 = 37 + 41 + 43

11³ = 1331 = 439 + 443 + 449

47³ = 103823 = 34603 + 34607 + 34613

6² = 36 = 5 + 7 + 11 + 13

18² = 324 = 73 + 79 + 83 + 89

268³ = 19248832 = 4812191 + 4812193 + 4812209 + 4812239

294³ = 25412184 = 6353029 + 6353033 + 6353051 + 6353071

Détails

CARRÉS somme de DEUX premiers consécutifs			haut
Liste	36, 100, 144, 576, 1764, 2304, 3844, 5184, 7056, 8100, 12100, 14400, 14884, 30276, 41616, 43264, 48400, 53824, 57600, 69696, 93636, 106276, 112896, 138384, 148996, 166464, 168100, 197136, 206116, 207936, 219024, 220900, 224676, 272484, 298116, 302500, 352836, 360000, 396900, 409600, 412164, 470596, 547600, 562500, 580644, 586756, 620944, 643204, 725904, 767376, 777924, 846400, 876096, 940900, 944784, 956484, 1028196, 1065024, 1077444, 1085764, 1183744, 1299600, 1317904, 1327104, 1350244, 1397124, 1430416, 1468944, 1498176, 1592644, 1612900, 1617984, 1623076, 1705636, 1758276, 1784896, 1871424, 1876900, 1920996, 2131600, 2160900, 2286144, 2304324, 2509056, 2592100, 2624400, 2742336, 2808976, 3041536, 3090564, 3118756, 3132900, 3370896, 3437316, 3496900, 3526884, 3610000, 3617604, 3663396, 3841600, 3880900, 3920400, 3944196, 3992004, 4153444, 4210704, 4243600, 4368100, 4536900, 4691556, 4822416, 5089536, 5116644, 5299204, 5363856, 5673924, 5779216, 5895184, 6041764, 6200100, 6300100, 6563844, 6718464, 6739216, 6801664, 7033104, 7225344, 7246864, 7387524, 7398400, 7452900, 7683984, 7851204, 7918596, 8213956, 8259876, 8328996, 8538084, 8678916, 8928144, 8952064, 9072144, 9144576, 9511056, 9585216, 9859600 OEIS A062703
Détails	36 = 17 + 19 100 = 47 + 53 144 = 71 + 73 576 = 283 + 293 1764 = 881 + 883 2304 = 1151 + 1153 3844 = 1913 + 1931 5184 = 2591 + 2593 7056 = 3527 + 3529 8100 = 4049 + 4051 12100 = 6047 + 6053 14400 = 7193 + 7207 14884 = 7433 + 7451 30276 = 15137 + 15139 41616 = 20807 + 20809 43264 = 21617 + 21647 48400 = 24197 + 24203 53824 = 26903 + 26921 57600 = 28793 + 28807 69696 = 34847 + 34849 93636 = 46817 + 46819 106276 = 53129 + 53147 112896 = 56443 + 56453 138384 = 69191 + 69193 148996 = 74489 + 74507 166464 = 83231 + 83233 168100 = 84047 + 84053 197136 = 98563 + 98573 206116 = 103049 + 103067 207936 = 103967 + 103969 219024 = 109507 + 109517 220900 = 110441 + 110459 224676 = 112337 + 112339 272484 = 136237 + 136247 298116 = 149057 + 149059 302500 = 151247 + 151253 352836 = 176417 + 176419 360000 = 179999 + 180001 396900 = 198439 + 198461 409600 = 204797 + 204803 412164 = 206081 + 206083 470596 = 235289 + 235307 547600 = 273797 + 273803 562500 = 281249 + 281251 580644 = 290317 + 290327 586756 = 293357 + 293399 620944 = 310463 + 310481 643204 = 321593 + 321611 725904 = 362951 + 362953 767376 = 383683 + 383693 777924 = 388961 + 388963 846400 = 423191 + 423209 876096 = 438047 + 438049 940900 = 470447 + 470453 944784 = 472391 + 472393 956484 = 478241 + 478243 1028196 = 514093 + 514103 1065024 = 532501 + 532523 1077444 = 538721 + 538723 1085764 = 542873 + 542891 1183744 = 591863 + 591881 1299600 = 649799 + 649801 1317904 = 658943 + 658961 1327104 = 663547 + 663557 1350244 = 675113 + 675131 1397124 = 698557 + 698567 1430416 = 715193 + 715223 1468944 = 734471 + 734473 1498176 = 749083 + 749093 1592644 = 796307 + 796337 1612900 = 806447 + 806453 1617984 = 808991 + 808993 1623076 = 811523 + 811553	1705636 = 852809 + 852827 1758276 = 879133 + 879143 1784896 = 892439 + 892457 1871424 = 935707 + 935717 1876900 = 938447 + 938453 1920996 = 960497 + 960499 2131600 = 1065791 + 1065809 2160900 = 1080449 + 1080451 2286144 = 1143071 + 1143073 2304324 = 1152161 + 1152163 2509056 = 1254527 + 1254529 2592100 = 1296041 + 1296059 2624400 = 1312189 + 1312211 2742336 = 1371157 + 1371179 2808976 = 1404479 + 1404497 3041536 = 1520759 + 1520777 3090564 = 1545277 + 1545287 3118756 = 1559357 + 1559399 3132900 = 1566449 + 1566451 3370896 = 1685447 + 1685449 3437316 = 1718653 + 1718663 3496900 = 1748441 + 1748459 3526884 = 1763431 + 1763453 3610000 = 1804997 + 1805003 3617604 = 1808801 + 1808803 3663396 = 1831693 + 1831703 3841600 = 1920797 + 1920803 3880900 = 1940447 + 1940453 3920400 = 1960199 + 1960201 3944196 = 1972097 + 1972099 3992004 = 1995991 + 1996013 4153444 = 2076713 + 2076731 4210704 = 2105347 + 2105357 4243600 = 2121797 + 2121803 4368100 = 2184047 + 2184053 4536900 = 2268449 + 2268451 4691556 = 2345753 + 2345803 4822416 = 2411207 + 2411209 5089536 = 2544767 + 2544769 5116644 = 2558321 + 2558323 5299204 = 2649593 + 2649611 5363856 = 2681927 + 2681929 5673924 = 2836961 + 2836963 5779216 = 2889599 + 2889617 5895184 = 2947583 + 2947601 6041764 = 3020873 + 3020891 6200100 = 3100043 + 3100057 6300100 = 3150047 + 3150053 6563844 = 3281911 + 3281933 6718464 = 3359221 + 3359243 6739216 = 3369599 + 3369617 6801664 = 3400823 + 3400841 7033104 = 3516551 + 3516553 7225344 = 3612671 + 3612673 7246864 = 3623423 + 3623441 7387524 = 3693761 + 3693763 7398400 = 3699197 + 3699203 7452900 = 3726439 + 3726461 7683984 = 3841991 + 3841993 7851204 = 3925591 + 3925613 7918596 = 3959297 + 3959299 8213956 = 4106969 + 4106987 8259876 = 4129933 + 4129943 8328996 = 4164497 + 4164499 8538084 = 4269037 + 4269047 8678916 = 4339457 + 4339459 8928144 = 4464071 + 4464073 8952064 = 4476023 + 4476041 9072144 = 4536071 + 4536073 9144576 = 4572277 + 4572299 9511056 = 4755523 + 4755533 9585216 = 4792607 + 4792609 9859600 = 4929791 + 4929809

CARRÉS somme de TROIS premiers consécutifs			haut
Liste	49, 121, 841, 961, 1849, 22801, 24649, 36481, 43681, 47089, 48841, 69169, 96721, 128881, 134689, 165649, 243049, 284089, 316969, 319225, 405769, 609961, 664225, 677329, 707281, 737881, 776161, 863041, 919681, 994009, 1026169, 1038361, 1042441, 1181569, 1437601, 1466521, 1682209, 1830609, 2163841, 2474329, 2601769, 2832489, 2839225, 3003289, 3010225, 3024121, 3066001, 3101121, 3129361, 3193369, 3374569, 3448449, 3659569, 4020025, 4206601, 4439449, 4635409, 4669921, 4853209, 5184729, 5257849, 5285401, 5774409, 5812921, 6017209, 6115729, 6466849, 6497401, 6538249, 6630625, 6651241, 6682225, 7102225, 7230721, 7458361, 8173881, 8265625, 8404201, 8532241, 8826841, 8922169, 9078169, 9320809, 9703225, 9954025, 9966649 … OEIS A080665
Détails	49 = 13 + 17 + 19 121 = 37 + 41 + 43 841 = 277 + 281 + 283 961 = 313 + 317 + 331 1849 = 613 + 617 + 619 22801 = 7591 + 7603 + 7607 24649 = 8209 + 8219 + 8221 36481 = 12157 + 12161 + 12163 43681 = 14557 + 14561 + 14563 47089 = 15679 + 15683 + 15727 48841 = 16267 + 16273 + 16301 69169 = 23053 + 23057 + 23059 96721 = 32233 + 32237 + 32251 128881 = 42953 + 42961 + 42967 134689 = 44887 + 44893 + 44909 165649 = 55213 + 55217 + 55219 243049 = 81013 + 81017 + 81019 284089 = 94687 + 94693 + 94709 316969 = 105649 + 105653 + 105667 319225 = 106397 + 106411 + 106417 405769 = 135241 + 135257 + 135271 609961 = 203317 + 203321 + 203323 664225 = 221401 + 221411 + 221413 677329 = 225769 + 225779 + 225781 707281 = 235747 + 235751 + 235783 737881 = 245941 + 245963 + 245977 776161 = 258707 + 258721 + 258733 863041 = 287671 + 287681 + 287689 919681 = 306541 + 306563 + 306577 994009 = 331333 + 331337 + 331339 1026169 = 342049 + 342059 + 342061 1038361 = 346111 + 346117 + 346133 1042441 = 347443 + 347489 + 347509 1181569 = 393853 + 393857 + 393859 1437601 = 479191 + 479201 + 479209 1466521 = 488827 + 488833 + 488861 1682209 = 560719 + 560737 + 560753 1830609 = 610193 + 610199 + 610217 2163841 = 721267 + 721283 + 721291 2474329 = 824773 + 824777 + 824779 2601769 = 867253 + 867257 + 867259 2832489 = 944149 + 944161 + 944179 2839225 = 946397 + 946411 + 946417	3003289 = 1001089 + 1001093 + 1001107 3010225 = 1003397 + 1003411 + 1003417 3024121 = 1008037 + 1008041 + 1008043 3066001 = 1021973 + 1022011 + 1022017 3101121 = 1033687 + 1033693 + 1033741 3129361 = 1043113 + 1043117 + 1043131 3193369 = 1064431 + 1064467 + 1064471 3374569 = 1124833 + 1124867 + 1124869 3448449 = 1149469 + 1149487 + 1149493 3659569 = 1219849 + 1219859 + 1219861 4020025 = 1339993 + 1340011 + 1340021 4206601 = 1402169 + 1402201 + 1402231 4439449 = 1479809 + 1479817 + 1479823 4635409 = 1545127 + 1545139 + 1545143 4669921 = 1556623 + 1556641 + 1556657 4853209 = 1617727 + 1617739 + 1617743 5184729 = 1728229 + 1728247 + 1728253 5257849 = 1752607 + 1752613 + 1752629 5285401 = 1761787 + 1761797 + 1761817 5774409 = 1924781 + 1924799 + 1924829 5812921 = 1937629 + 1937641 + 1937651 6017209 = 2005723 + 2005739 + 2005747 6115729 = 2038573 + 2038577 + 2038579 6466849 = 2155609 + 2155613 + 2155627 6497401 = 2165773 + 2165809 + 2165819 6538249 = 2179391 + 2179399 + 2179459 6630625 = 2210189 + 2210209 + 2210227 6651241 = 2217067 + 2217073 + 2217101 6682225 = 2227399 + 2227409 + 2227417 7102225 = 2367397 + 2367401 + 2367427 7230721 = 2410201 + 2410249 + 2410271 7458361 = 2486101 + 2486123 + 2486137 8173881 = 2724599 + 2724629 + 2724653 8265625 = 2755201 + 2755211 + 2755213 8404201 = 2801369 + 2801401 + 2801431 8532241 = 2844067 + 2844071 + 2844103 8826841 = 2942273 + 2942281 + 2942287 8922169 = 2974033 + 2974057 + 2974079 9078169 = 3026053 + 3026057 + 3026059 9320809 = 3106919 + 3106921 + 3106969 9703225 = 3234379 + 3234383 + 3234463 9954025 = 3318001 + 3318011 + 3318013 9966649 = 3322213 + 3322217 + 3322219

CARRÉS somme de QUATRE premiers consécutifs		haut
Liste	36, 324, 576, 1764, 2304, 4900, 20736, 63504, 66564, 128164, 142884, 150544, 156816, 183184, 236196, 256036, 260100, 311364, 369664, 414736, 746496, 784996, 921600, 948676, 1044484, 1094116, 1758276, 1855044, 1937664, 1954404, 2022084, 2056356, 2079364, 2155024, 2178576, 2534464, 2572816, 2808976, 3312400, 3802500, 4064256, 4276624, 4579600, 5234944, 5904900, 6051600, 6120676, 6400900, 6512704, 7507600, 7562500, 7683984, 8631844, 8643600, 8773444, 8880400, 9253764, 9872164
Détails	36 = 5 + 7 + 11 + 13 324 = 73 + 79 + 83 + 89 576 = 137 + 139 + 149 + 151 1764 = 433 + 439 + 443 + 449 2304 = 569 + 571 + 577 + 587 4900 = 1217 + 1223 + 1229 + 1231 20736 = 5171 + 5179 + 5189 + 5197 63504 = 15859 + 15877 + 15881 + 15887 66564 = 16631 + 16633 + 16649 + 16651 128164 = 32027 + 32029 + 32051 + 32057 142884 = 35677 + 35729 + 35731 + 35747 150544 = 37619 + 37633 + 37643 + 37649 156816 = 39191 + 39199 + 39209 + 39217 183184 = 45767 + 45779 + 45817 + 45821 236196 = 59029 + 59051 + 59053 + 59063 256036 = 63997 + 64007 + 64013 + 64019 260100 = 65011 + 65027 + 65029 + 65033 311364 = 77813 + 77839 + 77849 + 77863 369664 = 92401 + 92413 + 92419 + 92431 414736 = 103669 + 103681 + 103687 + 103699 746496 = 186601 + 186619 + 186629 + 186647 784996 = 196201 + 196247 + 196271 + 196277 921600 = 230387 + 230389 + 230393 + 230431 948676 = 237161 + 237163 + 237173 + 237179 1044484 = 261089 + 261101 + 261127 + 261167 1094116 = 273517 + 273521 + 273527 + 273551 1758276 = 439559 + 439567 + 439573 + 439577 1855044 = 463747 + 463753 + 463763 + 463781 1937664 = 484397 + 484411 + 484417 + 484439 1954404 = 488573 + 488603 + 488611 + 488617 2022084 = 505511 + 505513 + 505523 + 505537 2056356 = 514079 + 514081 + 514093 + 514103 2079364 = 519803 + 519817 + 519863 + 519881 2155024 = 538739 + 538751 + 538763 + 538771 2178576 = 544627 + 544631 + 544651 + 544667 2534464 = 633599 + 633613 + 633623 + 633629 2572816 = 643187 + 643199 + 643213 + 643217 2808976 = 702211 + 702239 + 702257 + 702269 3312400 = 828071 + 828101 + 828109 + 828119 3802500 = 950611 + 950617 + 950633 + 950639 4064256 = 1016051 + 1016053 + 1016069 + 1016083 4276624 = 1069129 + 1069141 + 1069171 + 1069183 4579600 = 1144889 + 1144901 + 1144903 + 1144907 5234944 = 1308719 + 1308731 + 1308737 + 1308757 5904900 = 1476203 + 1476217 + 1476227 + 1476253 6051600 = 1512857 + 1512877 + 1512923 + 1512943 6120676 = 1530149 + 1530157 + 1530173 + 1530197 6400900 = 1600217 + 1600219 + 1600223 + 1600241 6512704 = 1628171 + 1628173 + 1628177 + 1628183 7507600 = 1876841 + 1876859 + 1876949 + 1876951 7562500 = 1890611 + 1890617 + 1890631 + 1890641 7683984 = 1920959 + 1920991 + 1921013 + 1921021 8631844 = 2157913 + 2157923 + 2157989 + 2158019 8643600 = 2160881 + 2160883 + 2160913 + 2160923 8773444 = 2193337 + 2193353 + 2193371 + 2193383 8880400 = 2220077 + 2220083 + 2220089 + 2220151 9253764 = 2313431 + 2313433 + 2313439 + 2313461 9872164 = 2468021 + 2468027 + 2468047 + 2468069

CUBES somme de DEUX premiers consécutifs			haut
Liste	8, 216, 21952, 74088, 373248, 4251528, 5268024, 10648000, 10941048, 12812904, 14886936, 16003008, 25934336, 40707584, 54872000, 59319000, … OEIS A226524
Détails	8 = 3 + 5 216 = 107 + 109 21952 = 10973 + 10979 74088 = 37039 + 37049 373248 = 186619 + 186629 4251528 = 2125757 + 2125771 5268024 = 2634011 + 2634013 10648000 = 5323949 + 5324051 10941048 = 5470519 + 5470529	12812904 = 6406447 + 6406457 14886936 = 7443463 + 7443473 16003008 = 8001491 + 8001517 25934336 = 12967153 + 12967183 40707584 = 20353771 + 20353813 54872000 = 27435973 + 27436027 59319000 = 29659499 + 29659501

CUBES somme de TROIS premiers consécutifs		haut
Liste	1331, 103823, 3048625, 11089567, 12008989, 19034163, 30664297, 43986977, 48627125, 59776471, 62570773, 68417929 OEIS A227475
Détails	1331 = 439 + 443 + 449 103823 = 34603 + 34607 + 34613 3048625 = 1016201 + 1016203 + 1016221 11089567 = 3696493 + 3696523 + 3696551 12008989 = 4002991 + 4002997 + 4003001 19034163 = 6344687 + 6344729 + 6344747 30664297 = 10221397 + 10221443 + 10221457 43986977 = 14662309 + 14662331 + 14662337 48627125 = 16209029 + 16209047 + 16209049 59776471 = 19925483 + 19925491 + 19925497 62570773 = 20856907 + 20856919 + 20856947 68417929 = 22805969 + 22805971 + 22805989

CUBES somme de QUATRE premiers consécutifs		haut
Liste	19248832, 25412184, 32157432, 35287552, 79507000
Détails	19248832 = 4812191 + 4812193 + 4812209 + 4812239 25412184 = 6353029 + 6353033 + 6353051 + 6353071 32157432 = 8039333 + 8039359 + 8039363 + 8039377 35287552 = 8821867 + 8821877 + 8821889 + 8821919 79507000 = 19876711 + 19876741 + 19876771 + 19876777

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