A348193 -id:A348193 - cp's OEIS frontend

A348195 Number of primes of the form 4k+3 < n^2.

0, 1, 2, 3, 5, 6, 8, 9, 12, 13, 15, 18, 21, 23, 26, 29, 32, 34, 37, 40, 43, 47, 52, 55, 59, 63, 67, 70, 75, 79, 83, 88, 93, 97, 101, 106, 111, 115, 123, 131, 136, 140, 146, 151, 157, 164, 169, 174, 181, 186, 193, 200, 207, 213, 221, 225, 230, 241, 246, 255, 263, 269, 280, 287, 294, 301, 308, 316, 326, 331, 343, 353, 358

Offset: 1

Seiichi Manyama, Oct 06 2021

nonn

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

Cf. A066490, A348193, A348196.

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

a(n) = A066490(n^2).

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).

A348194 a(n) = A077767(n) - A077766(n).

Original entry on oeis.org

1, 0, 0, 1, 0, 0, -1, 2, -1, -1, 2, 1, -1, 2, 0, -1, -1, 0, 0, -1, 1, 3, 0, -1, 0, 1, -2, 1, 0, 0, 0, 1, -2, -1, 0, 1, -1, 4, 5, -2, -3, 3, -2, 1, 1, 0, -3, -1, 0, 3, -1, -2, 0, 3, -3, -2, 5, -3, 2, 0, -1, 5, -1, 0, -2, -1, 1, 3, -3, 3, 5, -5, 1, 3, -4, 4, 2, -2, -1, -3, 0, -1, 6, 1, -4, -3, 2, -4, -4, 2, 0, -1, 1, 1, -1, -1, 2, -1, 3, 1, 2, -2, 5, 1, -1

Offset: 1

Seiichi Manyama, Oct 06 2021

sign

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

Cf. A014085, A077766, A077767, A091295, A348193.

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

a(n) = A348193(n+1) - A348193(n).

cp's OEIS Frontend

A348195 Number of primes of the form 4k+3 < n^2.

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

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Author

Keywords

Links

Crossrefs

Programs

PARI

Formula

A348194 a(n) = A077767(n) - A077766(n).

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Author

Keywords

Links

Crossrefs

Programs

PARI

Formula