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A088254 Primes p with property that if p = prime(k), if the product of all composite numbers between prime(k) and prime(k+1) is one less than a prime. +0
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2, 3, 5, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 71, 73, 97, 101, 107, 109, 127, 137, 149, 167, 179, 191, 193, 197, 227, 233, 239, 269, 281, 311, 331, 347, 349, 419, 431, 439, 461, 463, 467, 509, 521, 569, 599, 617, 641, 647, 659, 739, 757, 769, 809, 821, 827 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjecture: the sequence is infinite. The smaller member of the twin prime pairs is a term.

EXAMPLE

19 is a member as 20*21*22 +1 = 9241 is a prime.

CROSSREFS

Sequence in context: A038933 A042998 A091317 this_sequence A089191 A038947 A095315

Adjacent sequences: A088251 A088252 A088253 this_sequence A088255 A088256 A088257

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 27 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jul 25 2005

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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