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A302435 Number of primes of the form b^2+3 for b <= 10^n. 3

%I #22 Apr 15 2018 13:33:17

%S 5,18,110,712,5427,44096,373019,3228862,28494961

%N Number of primes of the form b^2+3 for b <= 10^n.

%e a(1) = 5 because there are 5 primes of the form b^2+3 for b <= 10: 3, 7, 19, 67 and 103.

%o (PARI) {a(n) = sum(k=0, 10^n, isprime(k^2+3))}

%Y Number of primes of the form b^2+m for b <= 10^n: A302443 (m=-3), A302442 (m=-2), A206709 (m=1), A302434 (m=2), this sequence (m=3).

%Y Cf. A049423.

%K nonn,more

%O 1,1

%A _Seiichi Manyama_, Apr 07 2018

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Last modified April 24 07:44 EDT 2024. Contains 371922 sequences. (Running on oeis4.)