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Search: id:A082603
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| A082603 |
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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. |
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+0
1
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| 3, 5, 7, 11, 19, 23, 37, 47, 73, 227, 241, 251, 271, 317, 367, 563, 607, 641, 727, 761
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(3)=7, as 3+2=5, 3*5+2=17 and 3*5*7+2=107
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PROGRAM
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(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))) }
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CROSSREFS
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Cf. A039726.
Sequence in context: A111052 A138536 A093929 this_sequence A071997 A093442 A137814
Adjacent sequences: A082600 A082601 A082602 this_sequence A082604 A082605 A082606
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), May 23 2003
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