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Search: id:A068232
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| A068232 |
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a(n) is the smallest prime p such that p and the next n-1 primes are all == 1 (mod 12). |
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9
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| 13, 661, 8317, 12829, 586153, 1081417, 7790917, 7790917, 370861009, 370861009, 370861009, 5637496849, 289391626057, 469257742237, 628337233501
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Dickson's conjecture implies that a(n) exists for all n.
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LINKS
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The Prime Glossary, Dickson's conjecture
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MATHEMATICA
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For[i=n=1, True, Null, For[j=0, j<n&&Mod[Prime[i+j], 12]==1, j++, Null]; If[j==n, Print[Prime[i]]; n++, i++ ]]
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PROGRAM
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(PARI) {i=n=1; while(1, j=0; while(j<n&&prime(i+j)%12==1, j++); if(j==n, print(prime(i)); n++, i++))}
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CROSSREFS
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Cf. A068227, A068228, A068229, A040117, A068231, A068233, A068234, A068235.
Sequence in context: A076461 A109875 A067407 this_sequence A092547 A042307 A012746
Adjacent sequences: A068229 A068230 A068231 this_sequence A068233 A068234 A068235
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KEYWORD
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nice,nonn
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AUTHOR
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Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Mar 06 2002
a(12)-a(15) from Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 18 2006
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