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A243528 Integers n such that p = 4n + 1, q = 4p + 3, r = 4q + 5, s = 4r + 7 and t = 4s + 9 are all prime. 1
1564, 4057, 4654, 5884, 26599, 30139, 37204, 66532, 74227, 80812, 98137, 113929, 124249, 138604, 245524, 249847, 250879, 299767, 309469, 315277, 340504, 346279, 359467, 362674, 367069, 401407, 410332, 435049, 437377, 438799, 537844, 550582, 579814, 587047 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first prime n is 4057.

LINKS

Table of n, a(n) for n=1..34.

Zak Seidov, Table of first 30 values of n, p, q, r, s, t.

EXAMPLE

First 3 values of n, p, q, r, s and t:

{1564, 6257, 25031, 100129, 400523, 1602101},

{4057, 16229, 64919, 259681, 1038731, 4154933},

{4654, 18617, 74471, 297889, 1191563, 4766261}.

PROG

(MAGMA) A141291:=func<h | (5*4^h-6*h-5) div 9>; [n: n in [1..10^6] | forall{i: i in [1..5] | IsPrime(4^i*n + A141291(i))}]; // Bruno Berselli, Jun 06 2014

CROSSREFS

Sequence in context: A031800 A280354 A072394 * A237673 A246734 A237467

Adjacent sequences:  A243525 A243526 A243527 * A243529 A243530 A243531

KEYWORD

nonn

AUTHOR

Zak Seidov, Jun 06 2014

STATUS

approved

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Last modified July 1 22:23 EDT 2022. Contains 354984 sequences. (Running on oeis4.)