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.

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A156655 Primes of the form 1000*k + 1.

Original entry on oeis.org

3001, 4001, 7001, 9001, 13001, 16001, 19001, 21001, 24001, 28001, 51001, 54001, 55001, 61001, 69001, 70001, 76001, 81001, 88001, 90001, 93001, 96001, 97001, 102001, 103001, 109001, 114001, 115001, 121001, 123001, 124001, 126001, 129001
Offset: 1

Views

Author

Avik Roy (avik_3.1416(AT)yahoo.co.in), Feb 12 2009

Keywords

Comments

Let d be any divisors of 1000, then d and -d are quadratic residues modulo these primes. All terms are of the form x^2 - d*y^2 for d = -40, -25, -10, -8, -5, -4, -2, -1, 2, 5, 8, 10. Conjecture: they are also of the form x^2 - d*y^2 for d = 20, 40, 50, 200. - Jianing Song, Aug 29 2018

Crossrefs

Cf. A064962.

Programs

  • PARI
    for(k=0, 130, if(isprime(1000*k+1), print1(1000*k+1, ", "))) \\ Jianing Song, Aug 29 2018

Extensions

More terms from R. J. Mathar, Feb 19 2009
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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