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A309024 Inert rational primes in the intersection of all possibilities of Q(sqrt(-d)) where d is a Heegner number. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Can be proven: The primes that stay prime in the rings of integers of all imaginary quadratic fields that have unique factorization.

LINKS

Marc Beutter, Table of n, a(n) for n = 1..10000

MATHEMATICA

Table[If[MemberQ[JacobiSymbol[{-1, -2, -3, -7, -11, -19, -43, -67, -163}, k], 1], Unevaluated[Sequence[]], k], {k, Prime@Range@PrimePi[200000]}]

CROSSREFS

Cf. A003173.

Sequence in context: A324678 A068266 A140350 * A217247 A020420 A155484

Adjacent sequences:  A309021 A309022 A309023 * A309025 A309026 A309027

KEYWORD

nonn

AUTHOR

Marc Beutter, Jul 08 2019

STATUS

approved

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Last modified November 14 15:15 EST 2019. Contains 329126 sequences. (Running on oeis4.)