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 A376916 #10 Oct 09 2024 21:27:12
%S A376916 13,83,373,653,1543,2393,3271,4519,4723,5381,6701,7591,8069,8219,9439,
%T A376916 10453,11719,19541,20269,20477,23599,24821,24953,32939,35323,38219,
%U A376916 39631,41539,45319,51031,53549,55721,56179,56383,56599,56909,65419,69389,73331,74441,75997,81299,87589,89459,90199,93581,96661,97847,98017,107741,108827,109849
%N A376916 Primes that are the sum of some number of consecutive prime squares.
%C A376916 Primes in A340771.
%H A376916 Robert Israel, <a href="/A376916/b376916.txt">Table of n, a(n) for n = 1..10000</a>
%e A376916 a(3) = 373 is a term because 373 is prime and 373 = 3^2 + 5^2 + 7^2 + 11^2 + 13^2 where 3, 5, 6, 11 and 13 are consecutive primes.
%p A376916 N:= 2*10^5: # for terms <= N
%p A376916 PS:= [0, seq(ithprime(i)^2, i=1..numtheory:-pi(floor(sqrt(N))))]:
%p A376916 SPS:= ListTools:-PartialSums(PS):
%p A376916 sort(convert(select(t -> t <= N and isprime(t), {seq(seq(SPS[t]-SPS[s], s=1..t-2), t=2..nops(SPS))}), list);
%Y A376916 Cf. A340771.
%K A376916 nonn
%O A376916 1,1
%A A376916 _Robert Israel_, Oct 09 2024