cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A106562 Perfect squares which are not the sum of two primes.

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%I A106562 #6 Aug 14 2025 18:49:40
%S A106562 1,121,289,529,625,961,1521,1681,2025,2601,2809,3249,3481,4225,4489,
%T A106562 5329,6241,6561,6889,7225,7569,8281,9025,9409,9801,10201,11025,11881,
%U A106562 12321,12769,13225,15129,15625,16641,17689,18769,19881,20449,21609
%N A106562 Perfect squares which are not the sum of two primes.
%F A106562 A106544 with 0's removed.
%e A106562 a(2)=121 because it is the second perfect square which is impossible to obtain summing two primes.
%e A106562 100 is not in the sequence because 100=97+3 (sum of two primes).
%t A106562 Select[Range[150]^2,Count[IntegerPartitions[#,{2}],_?(AllTrue[#,PrimeQ]&)]==0&] (* _Harvey P. Dale_, Aug 14 2025 *)
%Y A106562 Cf. A106544-A106548, A106563-A106564, A106571, A106573-A106575, A106577.
%K A106562 easy,nonn
%O A106562 1,2
%A A106562 _Alexandre Wajnberg_, May 09 2005
%E A106562 Extended by _Ray Chandler_, May 12 2005