Search: id:A057634
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%I A057634
%S A057634 7,359,1823,79063,272863,989647,10604519,10604519,309202951,309202951,
%T A057634 1383423311,21120585463,534956098463,534956098463,534956098463,
%U A057634 925195153703
%N A057634 Initial prime in first sequence of n primes congruent to 7 modulo 8.
%H A057634 J. K. Andersen, <a href="http://users.cybercity.dk/~dsl522332/math/congruent-primes.htm">
               Consecutive Congruent Primes</a>.
%e A057634 a(4) = 79063 because this number is the first in a sequence of 4 consecutive 
               primes all of the form 8n + 7.
%t A057634 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 ] != {7}, k = NextPrime[ 
               k ]; a = Take[ AppendTo[ a, Mod[ k, 8 ]], -n ]]; p = NestList[ PrevPrime, 
               k, n ]; Print[ p[[ -2 ] ]]; p = p[[ -1 ]], {n, 1, 8} ] a(9) > 115647000.
%Y A057634 Sequence in context: A142669 A067556 A082098 this_sequence A145181 A082443 
               A082624
%Y A057634 Adjacent sequences: A057631 A057632 A057633 this_sequence A057635 A057636 
               A057637
%K A057634 nonn
%O A057634 1,1
%A A057634 Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 10 2000
%E A057634 More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), May 28 
               2006

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