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A068233 a(n) is the smallest prime p such that p and the next n-1 primes are all == 7 (mod 12). 8
7, 199, 199, 32443, 180799, 180799, 4338787, 84885631, 472798219, 1786054267, 6024282871, 64791932287, 592175010019, 6265824724519, 7816088451907, 24660781037467 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Dickson's conjecture implies that a(n) exists for all n.
LINKS
The Prime Glossary, Dickson's conjecture
MATHEMATICA
For[i=n=1, True, Null, For[j=0, j<n&&Mod[Prime[i+j], 12]==7, j++, Null]; If[j==n, Print[Prime[i]]; n++, i++ ]]
PROG
(PARI) {i=n=1; while(1, j=0; while(j<n&&prime(i+j)%12==7, j++); if(j==n, print(prime(i)); n++, i++))}
CROSSREFS
Sequence in context: A365988 A058391 A157388 * A154936 A206473 A300616
KEYWORD
nice,nonn
AUTHOR
Ferenc Adorjan (fadorjan(AT)freemail.hu), Feb 22 2002
EXTENSIONS
Edited by Dean Hickerson, Mar 06 2002
More terms from Giovanni Resta, Feb 18 2006
a(16) from Giovanni Resta, Aug 04 2013
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)