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A068235 a(n) is the smallest prime p such that p and the next n-1 primes are all == 11 (mod 12). 8
11, 467, 1499, 16763, 260339, 2003387, 7722419, 20221283, 927161471, 4284484931, 7355362139, 84805717127, 478527373859, 2046207697631, 7302359785151, 21104656617827, 21104656617827 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

a(18) > 4*10^14. - Giovanni Resta, Aug 04 2013

LINKS

Table of n, a(n) for n=1..17.

The Prime Glossary, Dickson's conjecture

MATHEMATICA

For[i=n=1, True, Null, For[j=0, j<n&&Mod[Prime[i+j], 12]==11, 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==11, j++); if(j==n, print(prime(i)); n++, i++))}

CROSSREFS

Cf. A068227, A068228, A068229, A040117, A068231, A068232, A068233, A068234.

Sequence in context: A180087 A233219 A288685 * A247598 A303207 A266026

Adjacent sequences:  A068232 A068233 A068234 * A068236 A068237 A068238

KEYWORD

more,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)-a(17) from Giovanni Resta, Aug 04 2013

STATUS

approved

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Last modified April 7 09:31 EDT 2020. Contains 333300 sequences. (Running on oeis4.)