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.

A300363 Sum of primes of the form b^2+1 for b <= 10^n.

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%I A300363 #18 Jul 18 2025 04:33:14
%S A300363 2,162,45052,29570385,24699073806,20281853994629,16998638126185703,
%T A300363 14511042624337529267,12647180923917812683382,
%U A300363 11222444317042682292853518,10085250548770665025465417675
%N A300363 Sum of primes of the form b^2+1 for b <= 10^n.
%e A300363 a(1) = 2 + 5 + 17 + 37 + 101 = 162.
%e A300363 a(2) = 2 + 5 + 17 + 37 + 101 + 197 + 257 + 401 + 577 + 677 + 1297 + 1601 + 2917 + 3137 + 4357 + 5477 + 7057 + 8101 + 8837 = 45052.
%o A300363 (PARI) list(len) = {my(pow = 1, p, s = 0); for(k = 1, 10^len, p = k^2 + 1; if(isprime(p), s += p); if(k == pow, print1(s, ", "); pow *= 10));} \\ _Amiram Eldar_, Jul 18 2025
%Y A300363 Cf. A002496, A206709.
%K A300363 nonn,more
%O A300363 0,1
%A A300363 _Seiichi Manyama_, Mar 04 2018
%E A300363 a(8) corrected and a(9)-a(10) added by _Amiram Eldar_, Jul 18 2025