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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A309024 Inert rational primes in the intersection of all Q(sqrt(-d)) where d is a Heegner number.

Original entry on oeis.org

3167, 8543, 14423, 18191, 22343, 25703, 28871, 35999, 40127, 54647, 73127, 75407, 77591, 80783, 82463, 87071, 89759, 93887, 105167, 112103, 112559, 124823, 127679, 130367, 140423, 143519, 149519, 159431, 170231, 175391, 175727, 186647, 187127
Offset: 1

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Author

Marc Beutter, Jul 08 2019

Keywords

Comments

These primes stay prime in the rings of integers of all imaginary quadratic fields with unique factorization.
However, none of these are prime, e.g., in Q(sqrt(2)) which indicates that there are no numbers that stay prime in all quadratic fields with unique factorization. - Marc Beutter, Aug 25 2020
Primes p such that A307836(n) = -9 with p = prime(n). - Marc Beutter, Aug 25 2020

Links

Crossrefs

Cf. A003173, A307836.

Programs

  • Mathematica
    Table[If[MemberQ[JacobiSymbol[{-1, -2, -3, -7, -11, -19, -43, -67, -163}, k], 1], Unevaluated[Sequence[]], k], {k, Prime@Range@PrimePi[200000]}]
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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