The following table consists of 24 primitive 6-way (and higher) Ramanujan solutions out to 2.51+E+28 (10^28.4).
The format is:
I^3 + J^3 = K^3 + L^3 = M^3 + N^3 = O^3 + P^3 = Q^3 + R^3 = S^3 + T^3 = Result.
Permission is granted to everyone to copy/use the list without restrictions as long as acknowledgement is included that the original author is Bill Butler - website http://www.durangobill.com
Note: The last solution shows partial pairs for a 7-way solution. The list should be complete out to
1.0E+23 and nearly complete the rest of the way.
I J K L M N O P Q R S T I^3 + J^3
18289922 26224366 17492496 26590452 16218068 27093208 8519281 28657487 3064173 28894803 582162 28906206 2.4153E+022
36204244 37537544 29402786 42158158 28120848 42746676 26072084 43554904 13695553 46069631 4925949 46451139 1.0035E+023
32181002 46141606 30777936 46785732 28535588 47670328 14989621 50422667 5391393 50840223 4023236 50852032 1.3156E+023
56843325 88178475 48549600 91051950 45232572 91923678 41353400 92776750 33240900 94074750 16325550 95278800 8.6930E+023
80514360 92661570 75497155 96090005 75073839 96349161 39631680 107873730 32494725 108668115 6723291 109619709 1.3175E+024
159363450 161127942 125436328 184269296 85970916 196567548 63273192 199810080 17781264 201857064 11239317 201891435 8.2305E+024
190243467 228013749 180772920 234118908 131240674 254476142 73351536 263739036 59727420 264606408 1826424 265616892 1.8740E+025
168313586 241330558 160975248 244699476 149247284 249326104 126481474 256116014 78398953 263721431 28198149 265905339 1.8823E+025
218373480 251319510 204765665 260618215 125091430 289765460 107490240 292578390 88133175 294732945 18235113 297313887 2.6287E+025
356616000 375041160 302826420 412783020 257225800 432826160 216163350 444802410 132232908 457555092 33358455 461149065 9.8104E+025
336775068 429672810 317684025 440474943 294366576 451459386 262541232 463268154 236983530 470587068 187615162 480470984 1.1752E+026
659754360 759291570 618642155 787385005 324751680 883943730 320388912 884524338 266269725 890453115 55092291 898250709 7.2492E+026
625226103 826747209 613392836 833334880 552022884 862347528 412103844 904304088 81501336 931768740 7452144 931976388 8.0950E+026
751274280 864619110 704459065 896609615 651465300 925953270 369800640 1006562790 303206175 1013975145 62734593 1022854407 1.0704E+027
810462080 852096355 633135195 964498710 422990379 1024510746 393953070 1029107835 164001635 1046662120 133815024 1047274851 1.1510E+027
979992000 1030624920 832176540 1134340740 706864600 1189419920 363380196 1257375804 311677080 1261097760 91670085 1267252155 2.0359E+027
898102630 1121111450 772632936 1186961064 687633000 1218323880 366467940 1277379420 195329194 1285854806 163211715 1286480445 2.1335E+027
983492433 1216169031 834460011 1294460013 712708128 1336642626 607067912 1361962690 487976412 1381017330 239659074 1398692784 2.7501E+027
1070076196 1534291388 1023421728 1555709736 984500951 1571754793 948859624 1585124144 498431858 1676644366 179273514 1690528854 4.8371E+027
1242945648 1626914520 1079473752 1706385744 920881398 1759326090 662726232 1810572624 468014148 1829546460 129648001 1839484031 6.2264E+027
1721102460 1908124680 1434590934 2087235066 800282945 2259339775 479829735 2285295705 274720380 2291009160 185931900 2291917320 1.2046E+028
1789446680 2066683780 1679835248 2141209252 1532526450 2221136190 826905480 2409670980 645974595 2426537085 609800100 2428957440 1.4557E+028
1914753600 2013682536 1625944932 2216327292 1381104680 2323943536 1160630910 2388246786 608969064 2463991008 179109243 2476015749 1.5185E+028
1847282122 2648660966 1766742096 2685635652 1638024868 2736414008 860447381 2894406187 459531128 2915734948 309481473 2918375103 2.4885E+028
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