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Search: id:A082603
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A082603 Choose a_n so that 3*5*7*...*a_n + 2 is prime, a_n is prime and a_(n) > a_{n-1} and a_n is as small as possible. +0
1
3, 5, 7, 11, 19, 23, 37, 47, 73, 227, 241, 251, 271, 317, 367, 563, 607, 641, 727, 761 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(3)=7, as 3+2=5, 3*5+2=17 and 3*5*7+2=107

PROGRAM

(PARI) { vp=vector(20); vp[1]=3; vc=1; vpt=3; print1(3", "); for (vc=2, 20, forprime (p=vp[vc-1]+1, 10000, if (isprime(p*vp[vc-1]+2), vp[vc]=p; vpt*=p; print1(vp[vc]", "); break))) }

CROSSREFS

Cf. A039726.

Sequence in context: A138536 A093929 A144427 this_sequence A161420 A071997 A093442

Adjacent sequences: A082600 A082601 A082602 this_sequence A082604 A082605 A082606

KEYWORD

nonn

AUTHOR

Jon Perry (perry(AT)globalnet.co.uk), May 23 2003

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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