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Search: id:A068234
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| A068234 |
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a(n) is the smallest prime p such that p and the next n-1 primes are all == 5 (mod 12). |
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+0
9
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| 5, 509, 4397, 42509, 647417, 647417, 1248869, 13175609, 234946997, 1039154933, 7114719473, 32021552837, 32021552837, 1237381737257, 2904797643617, 2904797643617, 2904797643617
(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]==5, 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==5, j++); if(j==n, print(prime(i)); n++, i++))}
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CROSSREFS
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Cf. A068227, A068228, A068229, A040117, A068231, A068232, A068233, A068235.
Sequence in context: A114066 A083151 A128682 this_sequence A012741 A003394 A110721
Adjacent sequences: A068231 A068232 A068233 this_sequence A068235 A068236 A068237
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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
More terms from Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 18 2006
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