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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).

7, 199, 199, 32443, 180799, 180799, 4338787, 84885631, 472798219, 1786054267, 6024282871, 64791932287, 592175010019, 6265824724519, 7816088451907, 24660781037467

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OFFSET

1,1

COMMENTS

Dickson's conjecture implies that a(n) exists for all n.

LINKS

Table of n, a(n) for n=1..16.

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

Cf. A068227, A068228, A068229, A040117, A068231, A068232, A068234, A068235.

Sequence in context: A365988 A058391 A157388 * A154936 A206473 A300616

Adjacent sequences: A068230 A068231 A068232 * A068234 A068235 A068236

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