cp's OEIS Frontend

A379347 a(n) is the sum of all integers of the form k^2 + 1 whose greatest prime factor is A002313(n), the n-th prime not congruent to 3 mod 4.

%I A379347 #6 Dec 22 2024 23:56:24
%S A379347 1,12,327,391,703,20510,5667,661016,507004,644098,24977604,38394505,
%T A379347 2621510449,465558141,624692559,63435958,507041846,8133206945,
%U A379347 70119049516045,45102364892,49035127231,154823547391
%N A379347 a(n) is the sum of all integers of the form k^2 + 1 whose greatest prime factor is A002313(n), the n-th prime not congruent to 3 mod 4.
%C A379347 See A223702 for additional information.
%e A379347 a(2) = 12 = 2 + 3 + 7. The corresponding values for k^2 + 1 are 5, 10 and 50 each of whose greatest prime factor is 5 = A002313(2).
%Y A379347 Row sums of A223702.
%Y A379347 Cf. A002313, A185389, A379344.
%K A379347 nonn,more
%O A379347 1,2
%A A379347 _Andrew Howroyd_, Dec 22 2024