A057329 First member of a prime sextuplet in a 2p-1 progression.

16651, 33301, 165901, 331801, 385591, 445741, 478801, 580471, 1203121, 1768441, 1943371, 2041201, 2131141, 2240941, 2340661, 2393431, 2526721, 3277471, 3536881, 3623881, 3880381, 3897631, 4123621, 4415371, 4481881, 5278591

Offset

1,1

Comments

Numbers n such that n remains prime through 5 iterations of function f(x) = 2x - 1.

Links

Table of n, a(n) for n=1..26.

Index entries for sequences related to primes in arithmetic progressions

Example

First sextuplet is (16651,33301,66601,133201,266401,532801).

Prog

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

Crossrefs

Cf. A005382 and A005383; A057326, A057327, A057328, A057330, A005603.

Sequence in context: A183657 A247693 A170788 * A349773 A232450 A317179

Adjacent sequences: A057326 A057327 A057328 * A057330 A057331 A057332

Keyword

nonn

Author

Patrick De Geest, Aug 15 2000

Extensions

Offset changed by Andrew Howroyd, Aug 13 2024

Status

approved