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.
%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