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A100276 a(0)=3; for n > 0, a(n) = smallest prime > a(n-1) such that Product_{i=0..n} a(i) - 2 is prime. +0
3
3, 5, 7, 11, 13, 17, 19, 23, 59, 71, 73, 83, 89, 97, 191, 337, 359, 433, 569, 617, 643, 691, 809, 811, 1439, 1447, 1451, 1553, 1571, 1741, 1993, 2141, 2339, 2477, 2693, 2791, 2887, 2917, 4021, 5039, 5431, 5581, 5857, 6353, 6521, 6529, 6857, 7211, 7591, 7883 (list; graph; listen)
OFFSET

0,1

EXAMPLE

3*5-2=13 is prime;

3*5*7-2=103 is prime;

3*5*7*11-2=1153 is prime;

3*5*7*11*13-2=15013 is prime.

CROSSREFS

See A100277 for the resulting primes. Cf. A085013, A100301.

Sequence in context: A000978 A128925 A131261 this_sequence A065389 A123567 A059645

Adjacent sequences: A100273 A100274 A100275 this_sequence A100277 A100278 A100279

KEYWORD

nonn

AUTHOR

Herman H. Rosenfeld (herm3(AT)pacbell.net), Dec 29 2004

EXTENSIONS

Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 26 2005

More terms from Ryan Propper (rpropper(AT)cs.stanford.edu), Jan 11 2008

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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