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A057328 First member of a prime quintuplet in a 2p-1 progression. 11
1531, 6841, 15391, 16651, 33301, 44371, 57991, 66601, 83431, 105871, 145021, 150151, 165901, 199621, 209431, 212851, 231241, 242551, 291271, 319681, 331801, 346141, 377491, 381631, 385591, 445741, 451411, 478801, 481021, 506791, 507781 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Numbers n such that n remains prime through 4 iterations of function f(x) = 2x - 1.

LINKS

Index entries for sequences related to primes in arithmetic progressions

EXAMPLE

Quintuplets are (1531,3061,6121,12241,24481),(6841,13681,27361,54721,109441),...

PROG

(MAGMA) [ p: p in PrimesUpTo(6*10^5) | forall{q: k in [1..4] | IsPrime(q) where q is 2^k*(p-1)+1} ];  // Bruno Berselli, Nov 23 2011

CROSSREFS

Cf. A005382 and A005383; A057326, A057327, A057329, A057330, A005603.

Sequence in context: A030061 A122707 A057327 * A110022 A145982 A088362

Adjacent sequences:  A057325 A057326 A057327 * A057329 A057330 A057331

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Aug 15 2000.

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Last modified February 14 18:05 EST 2012. Contains 205664 sequences.