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A228542 Numbers that are sums of two coprime positive fifth powers. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
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
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 18 22:09 EDT 2024. Contains 370951 sequences. (Running on oeis4.)