

A057632


Initial prime in first sequence of n primes congruent to 3 modulo 8.


0



3, 491, 2243, 42299, 274123, 4310083, 4310083, 9065867, 547580443, 1885434347, 8674616939, 11312238283, 19201563659, 619849118491, 4056100954547, 13721202685691, 119254168189363, 276151474703651
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..18.
J. K. Andersen, Consecutive Congruent Primes.


EXAMPLE

a(3) = 2243 because this number is the first in a sequence of 3 consecutive primes all of the form 8n + 3.


MATHEMATICA

NextPrime[ n_Integer ] := Module[ {k = n + 1}, While[ ! PrimeQ[ k ], k++ ]; Return[ k ] ]; PrevPrime[ n_Integer ] := Module[ {k = n  1}, While[ ! PrimeQ[ k ], k ]; Return[ k ] ]; p = 0; Do[ a = Table[ 1, {n} ]; k = Max[ 1, p ]; While[ Union[ a ] != {3}, k = NextPrime[ k ]; a = Take[ AppendTo[ a, Mod[ k, 8 ] ], n ] ]; p = NestList[ PrevPrime, k, n ]; Print[ p[ [ 2 ] ] ]; p = p[ [ 1 ] ], {n, 1, 9} ] a(9) > 305256000.


CROSSREFS

Sequence in context: A198652 A198659 A142801 * A245245 A024045 A160362
Adjacent sequences: A057629 A057630 A057631 * A057633 A057634 A057635


KEYWORD

nonn


AUTHOR

Robert G. Wilson v, Oct 10 2000


EXTENSIONS

More terms from Jens Kruse Andersen, May 28 2006
a(16)a(18) from Giovanni Resta, Aug 04 2013


STATUS

approved



