

A025317


Numbers that are the sum of 2 distinct nonzero squares in 7 or more ways.


5



27625, 32045, 40885, 45305, 47125, 55250, 58565, 60125, 61625, 64090, 66625, 67405, 69745, 71825, 77285, 78625, 80665, 81770, 86125, 87125, 90610, 91205, 93925, 94250, 98345, 98605, 99125, 99905, 101065, 105625, 107185, 110500, 111605, 112625
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OFFSET

1,1


COMMENTS

Subsequence of A025298. But sequences A025317 and A025298 are different. 2*5^12 = 488281250 = 15625^2 + 15625^2 (not distinct squares) = 14395^2 + 16765^2 = 10625^2 + 19375^2 = 9125^2 + 20125^2 = 4775^2 + 21575^2 = 3125^2 + 21875^2 = 1457^2 + 22049^2 is not in A025317.  Vaclav Kotesovec, Feb 27 2016
Numbers in A025298 but not in A025317 are exactly those numbers of the form 2*p_1^(2*a_1)*p_2^(2*a_2)*...*p_m^(2*a_m)*q^12 where p_i are primes of the form 4k+3 and q is a prime of the form 4k+1. Thus 2*5^12 is the smallest term in A025298 that is not in A025317.  Chai Wah Wu, Feb 27 2016


LINKS



MATHEMATICA

nn = 112625; t = Table[0, {nn}]; lim = Floor[Sqrt[nn  1]]; Do[num = i^2 + j^2; If[num <= nn, t[[num]]++], {i, lim}, {j, i  1}]; Flatten[Position[t, _?(# >= 7 &)]] (* T. D. Noe, Apr 07 2011 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



