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A245746 Prime numbers P such that Q=4*P^2+1, R=4*Q^2+1, S=4*R^2+1, T=4*S^2+1 and Q, R, S, T are all prime numbers. 1
9220303, 16079387, 17232253, 43606237, 66063373, 85403083, 97649917, 104719757, 159685553, 180467533, 197072563, 344777863, 492619373, 517774063, 647320727, 672712637, 715230127, 769494413, 790845563, 909545573, 944196137, 975302173, 1120585597, 1123182763 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A122429.

LINKS

Pierre CAMI, Table of n, a(n) for n = 1..30

MATHEMATICA

pnQ[n_]:=Module[{q=4n^2+1, r, s, t}, r=4q^2+1; s=4r^2+1; t=4s^2+1; AllTrue[ {q, r, s, t}, PrimeQ]]; Select[Prime[Range[5678*10^4]], pnQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Aug 08 2019 *)

CROSSREFS

Cf. A052291, A122424, A122429.

Sequence in context: A205615 A251399 A206599 * A206098 A105175 A212469

Adjacent sequences:  A245743 A245744 A245745 * A245747 A245748 A245749

KEYWORD

nonn

AUTHOR

Pierre CAMI, Jul 31 2014

STATUS

approved

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Last modified August 19 16:39 EDT 2022. Contains 356229 sequences. (Running on oeis4.)