A228542 Numbers that are sums of two coprime positive fifth powers.
2, 33, 244, 275, 1025, 1267, 3126, 3157, 3368, 4149, 7777, 10901, 16808, 16839, 17050, 17831, 19932, 24583, 32769, 33011, 35893, 49575, 59050, 59081, 60073, 62174, 75856, 91817, 100001, 100243, 116807, 159049, 161052, 161083, 161294, 162075, 164176, 168827
Offset: 1
Keywords
Examples
244 is in the sequence since 1^5 + 3^5 = 244 and (1, 3) = 1.
Programs
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Magma
lst:=[]; for m in [2..168827] do f:=func
; if f(m)[1] gt 0 and GCD(f(m)[1], f(m)[2]) eq 1 then Append(~lst, m); end if; end for; lst; // Arkadiusz Wesolowski, Dec 19 2020