A348195 -id:A348195 - cp's OEIS frontend

A348193 (Number of primes == 3 mod 4 less than n^2) - (number of primes == 1 mod 4 less than n^2).

0, 1, 1, 1, 2, 2, 2, 1, 3, 2, 1, 3, 4, 3, 5, 5, 4, 3, 3, 3, 2, 3, 6, 6, 5, 5, 6, 4, 5, 5, 5, 5, 6, 4, 3, 3, 4, 3, 7, 12, 10, 7, 10, 8, 9, 10, 10, 7, 6, 6, 9, 8, 6, 6, 9, 6, 4, 9, 6, 8, 8, 7, 12, 11, 11, 9, 8, 9, 12, 9, 12, 17, 12, 13, 16, 12, 16, 18, 16, 15, 12, 12, 11, 17, 18, 14, 11, 13, 9, 5, 7, 7, 6, 7, 8, 7, 6, 8, 7, 10

Offset: 1

Seiichi Manyama, Oct 06 2021

a(790) = -1.

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A014085, A077766, A077767, A091295, A348194, A348195, A348196.

a(n) = sum(k=2, n^2-1, (isprime(k)&&k%4==3)-(isprime(k)&&k%4==1));

a(n) = A348195(n) - A348196(n).

A348196 Number of primes of the form 4k+1 < n^2.

Original entry on oeis.org

0, 0, 1, 2, 3, 4, 6, 8, 9, 11, 14, 15, 17, 20, 21, 24, 28, 31, 34, 37, 41, 44, 46, 49, 54, 58, 61, 66, 70, 74, 78, 83, 87, 93, 98, 103, 107, 112, 116, 119, 126, 133, 136, 143, 148, 154, 159, 167, 175, 180, 184, 192, 201, 207, 212, 219, 226, 232, 240, 247, 255, 262, 268, 276, 283, 292, 300, 307, 314, 322, 331, 336, 346, 354

Offset: 1

Seiichi Manyama, Oct 06 2021

nonn

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A066339, A348193, A348195.

a(n) = sum(k=2, n^2-1, isprime(k)&&k%4==1);

a(n) = A066339(n^2).

cp's OEIS Frontend

A348193 (Number of primes == 3 mod 4 less than n^2) - (number of primes == 1 mod 4 less than n^2).

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