A374421
a(n) is the smallest number which can be represented as the sum of 3 distinct positive n-th powers in exactly 2 ways, or -1 if no such number exists.
Original entry on oeis.org
8, 62, 1009, 6578, 1375298099, 160426514
Offset: 1
a(5) = 1375298099 = 3^5 + 54^5 + 62^5 = 24^5 + 28^5 + 67^5.
a(6) = 160426514 = 3^6 + 19^6 + 22^6 = 10^6 + 15^6 + 23^6.
A374422
a(n) is the smallest number which can be represented as the sum of 3 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.
Original entry on oeis.org
9, 101, 5104, 811538
Offset: 1
a(3) = 5104 = 1^3 + 12^3 + 15^3 = 2^3 + 10^3 + 16^3 = 9^3 + 10^3 + 15^3.
a(4) = 811538 = 4^4 + 23^4 + 27^4 = 7^4 + 21^4 + 28^4 = 12^4 + 17^4 + 29^4.
A374423
a(n) is the smallest number which can be represented as the sum of 3 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.
Original entry on oeis.org
10, 161, 13896, 5978882
Offset: 1
a(3) = 13896 = 1^3 + 12^3 + 23^3 = 2^3 + 4^3 + 24^3 = 4^3 + 18^3 + 20^3 = 9^3 + 10^3 + 23^3.
a(4) = 5978882 = 3^4 + 40^4 + 43^4 = 8^4 + 37^4 + 45^4 = 15^4 + 32^4 + 47^4 = 23^4 + 25^4 + 48^4.
A374424
a(n) is the smallest number which can be represented as the sum of 4 distinct positive n-th powers in exactly 2 ways, or -1 if no such number exists.
Original entry on oeis.org
12, 90, 1036, 6834, 4062500, 160426515, 2056364173794800
Offset: 1
a(5) = 4062500 = 1^5 + 14^5 + 16^5 + 19^5 = 5^5 + 10^5 + 15^5 + 20^5.
a(6) = 160426515 = 1^6 + 3^6 + 19^6 + 22^6 = 1^6 + 10^6 + 15^6 + 23^6.
A374425
a(n) is the smallest number which can be represented as the sum of 4 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.
Original entry on oeis.org
13, 78, 1521, 16578, 1479604544, 1885800643779
Offset: 1
a(4) = 16578 = 1^4 + 2^4 + 9^4 + 10^4 = 2^4 + 5^4 + 6^4 + 11^4 = 3^4 + 7^4 + 8^4 + 10^4.
a(5) = 1479604544 = 3^5 + 48^5 + 52^5 + 61^5 = 13^5 + 36^5 + 51^5 + 64^5 = 18^5 + 36^5 + 44^5 + 66^5.
A375329
a(n) is the smallest number which can be represented as the sum of 5 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.
Original entry on oeis.org
18, 127, 1548, 16834, 70211956, 342172570
Offset: 1
a(6) = 342172570 = 4^6 + 5^6 + 18^6 + 20^6 + 25^6
= 8^6 + 10^6 + 11^6 + 23^6 + 24^6
= 8^6 + 13^6 + 15^6 + 16^6 + 26^6.
Cf.
A046881,
A342895,
A374418,
A374421,
A374422,
A374423,
A374424,
A374425,
A375330,
A375331,
A375332,
A375333,
A375334.
A375330
a(n) is the smallest number which can be represented as the sum of 6 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.
Original entry on oeis.org
24, 175, 1891, 23140, 5490133, 201968338
Offset: 1
a(6) = 201968338 = 2^6 + 3^6 + 14^6 + 18^6 + 19^6 + 22^6
= 2^6 + 10^6 + 14^6 + 15^6 + 18^6 + 23^6
= 4^6 + 6^6 + 10^6 + 11^6 + 21^6 + 22^6.
Cf.
A046881,
A342896,
A374418,
A374421,
A374422,
A374423,
A374424,
A374425,
A375329,
A375331,
A375332,
A375333,
A375334.
A375331
a(n) is the smallest number which can be represented as the sum of 4 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.
Original entry on oeis.org
-1, 142, 4445, 300834
Offset: 1
a(4) = 300834 = 1^4 + 4^4 + 12^4 + 23^4
= 1^4 + 16^4 + 18^4 + 19^4
= 3^4 + 6^4 + 18^4 + 21^4
= 7^4 + 14^4 + 16^4 + 21^4.
Cf.
A046881,
A342898,
A374418,
A374421,
A374422,
A374423,
A374424,
A374425,
A375329,
A375330,
A375332,
A375333,
A375334.
A375332
a(n) is the smallest number which can be represented as the sum of 5 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.
Original entry on oeis.org
-1, 151, 2465, 54994, 1386406515, 351060139210
Offset: 1
a(4) = 54994 = 1^4 + 2^4 + 4^4 + 8^4 + 15^4
= 1^4 + 2^4 + 9^4 + 10^4 + 14^4
= 2^4 + 5^4 + 6^4 + 11^4 + 14^4
= 3^4 + 7^4 + 8^4 + 10^4 + 14^4.
Cf.
A046881,
A342899,
A374418,
A374421,
A374422,
A374423,
A374424,
A374425,
A375329,
A375330,
A375331,
A375333,
A375334.
A375333
a(n) is the smallest number which can be represented as the sum of 6 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.
Original entry on oeis.org
-1, 187, 2492, 56290, 24993485, 2063792939
Offset: 1
a(6) = 2063792939 = 1^6 + 4^6 + 16^6 + 21^6 + 31^6 + 32^6
= 4^6 + 7^6 + 20^6 + 22^6 + 29^6 + 33^6
= 5^6 + 7^6 + 16^6 + 25^6 + 30^6 + 32^6
= 5^6 + 8^6 + 14^6 + 27^6 + 29^6 + 32^6.
Cf.
A046881,
A342900,
A374418,
A374421,
A374422,
A374423,
A374424,
A374425,
A375329,
A375330,
A375331,
A375332,
A375334.
Showing 1-10 of 11 results.
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