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A175556 Numbers n such that n^7 is the sum of a positive fifth power and a square: n^7=x^5+y^2, with repetition. 1

%I #12 Sep 23 2015 04:03:34

%S 8,9,98,108,125,196,225,576,676,864,900,1000,1352,1568,1568,1764,2000,

%T 2601,3087,3993,4232,4418,4913,5324,5400,6348,7225,7776,8100,8100,

%U 8192,9216,12348,12482,15123,15376,15552,16464,16928,17576,18225

%N Numbers n such that n^7 is the sum of a positive fifth power and a square: n^7=x^5+y^2, with repetition.

%H Zak Seidov, <a href="/A175556/a175556.txt">List of triples n, x, y</a>

%e 8^7=16^5+1024^2=2097152, 9^7=18^5+1701^2=4782969.

%o (PARI) a175556_print(n) = {local(xm, n7, r, x); if(n < 2,return(0)); xm = floor(n^(7/5)); n7 = n^7; for(x = 1, xm, r = n7 - x^5; if(issquare(r) && r > 0, print(n)))} \\ _Michael B. Porter_, Sep 22 2015

%K nonn

%O 1,1

%A _Zak Seidov_, Jun 29 2010

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Last modified March 28 08:12 EDT 2024. Contains 371236 sequences. (Running on oeis4.)