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A109799 Primes p such that 2^p - 1 is a Chen prime. 2^p - 1 is then called a Mersenne Chen prime. 1
2, 3, 5, 7, 13, 17, 19, 31, 61, 127 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Conjecture: 2^127 - 1 is the largest Mersenne Chen prime.

Except for the initial term 2, this sequence is the intersection of A000043 and A000978. [From Max Alekseyev (maxale(AT)gmail.com), Oct 28 2008]

First 10 members equals A152961. [From Omar E. Pol (info(AT)polprimos.com), Dec 20 2008]

Except for the initial term 2, this sequence coincides with A107360. [From Max Alekseyev (maxale(AT)gmail.com), Jan 28 2010]

EXAMPLE

a(5)=13 because 2^13 - 1 = 8191 is prime and 2^13 + 1 = 3*2731 is semiprime.

CROSSREFS

Cf. A000043, A109611.

Cf. A152961. [From Omar E. Pol (info(AT)polprimos.com), Dec 20 2008]

Sequence in context: A123856 A120857 A000043 * A152961 A109461 A138539

Adjacent sequences:  A109796 A109797 A109798 * A109800 A109801 A109802

KEYWORD

hard,more,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Aug 15 2005

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.