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Search: id:A102747
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A102747 Primes p(n) such that p(n)#+p(n+1) is divisible by p(n+2). +0
1
2, 7, 103, 229561, 863833 (list; graph; listen)
OFFSET

1,1

EXAMPLE

7 belongs to this sequence since 2*3*5*7+11 is divisible by 13.

PROGRAM

(PARI) { isgood(p) = local(r, p2, p3); p2=nextprime(p+1); p3=nextprime(p2+1); r=Mod(1, p3); forprime(q=1, p, r*=q); r+=p2; return(r==0); }

CROSSREFS

Cf. A002110, A058233.

Sequence in context: A087589 A002812 A102598 this_sequence A122524 A162634 A072664

Adjacent sequences: A102744 A102745 A102746 this_sequence A102748 A102749 A102750

KEYWORD

hard,more,nonn

AUTHOR

Max Alekseyev (maxale(AT)gmail.com), Feb 09 2005

EXTENSIONS

863833 from Ryan Propper (rpropper(AT)cs.stanford.edu), Jan 07 2008

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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