A228542 - OEIS

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

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

244 is in the sequence since 1^5 + 3^5 = 244 and (1, 3) = 1.

PROG

(Magma) lst:=[]; for m in [2..168827] do f:=func<k | exists(q){x: x in [1..Floor((m-1)^(1/5))] | IsPower(k-x^5, 5)} and exists(r){x: x in [Floor((m-1)^(1/5))..1 by -1] | IsPower(k-x^5, 5)} select [q, r] else [-1, -1]>; 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

CROSSREFS

Supersequence of A228556. Cf. A002561, A055014.

Sequence in context: A052403 A362538 A006558 * A002561 A181547 A030448

Adjacent sequences: A228539 A228540 A228541 * A228543 A228544 A228545

KEYWORD

nonn

AUTHOR

Arkadiusz Wesolowski, Aug 25 2013

STATUS

approved