A244019 -id:A244019 - cp's OEIS frontend

A244029 Primes p such that the quadratic form x^2+p*y^2 does not represent a prime strictly between p and 2p.

3, 5, 11, 17, 23, 29, 41, 59, 83, 89, 107, 179, 251, 263, 269, 293, 389, 401, 461, 479, 491, 569, 593, 881, 929, 1319, 1619, 1931, 2531, 2789, 3461, 3701, 4919, 5309, 7589, 9749, 26171

Offset: 1

N. J. A. Sloane, Jun 22 2014

nonn

William C. Jagy and Irving Kaplansky, Positive definite binary quadratic forms that represent the same primes [Cached copy]

Cf. A244030, A244031.

A244032 Positive numbers n such that there exists a positive number m != n such that x^2+ny^2 and x^2+my^2 represent the same odd primes.

Original entry on oeis.org

1, 4, 8, 9, 12, 16, 24, 45, 48, 72, 80, 120, 240

Offset: 1

N. J. A. Sloane, Jun 22 2014

nonn

There are no other terms for which both n and m are < 100000.

			For example, 9 and 12 are members because the odd primes (in fact all the primes) represented by x^2+9y^2 and x^2+12y^2 are the same - see A068228.

William C. Jagy and Irving Kaplansky, Positive definite binary quadratic forms that represent the same primes [Cached copy]
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Cf. A068228.

cp's OEIS Frontend

A244029 Primes p such that the quadratic form x^2+p*y^2 does not represent a prime strictly between p and 2p.

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