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 A057631 Initial prime in first sequence of n primes congruent to 3 modulo 5. 2
 3, 283, 6793, 22963, 752023, 2707163, 44923183, 44923183, 961129823, 1147752443, 6879806623, 131145172583, 177746482483, 795537219143, 4028596340953, 6987191424553, 269013937530553, 281659318133953, 281659318133953 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS J. K. Andersen, Consecutive Congruent Primes. Carlos Rivera's The prime puzzles & problems connection, Puzzle 16 - Consecutive primes and ending digit EXAMPLE a(6) = 2707163 because this number is the first in a sequence of 6 consecutive primes all of the form 5n + 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, 5 ] ], -n ] ]; p = NestList[ PrevPrime, k, n ]; Print[ p[ [ -2 ] ] ]; p = p[ [ -1 ] ], {n, 1, 9} ] CROSSREFS Sequence in context: A239273 A054583 A139984 * A058455 A116532 A199644 Adjacent sequences:  A057628 A057629 A057630 * A057632 A057633 A057634 KEYWORD nonn AUTHOR Robert G. Wilson v, Oct 10 2000 EXTENSIONS a(10) from Jud McCranie, Jan 14 2003 More terms from Jens Kruse Andersen, Jun 03 2006 a(17)-a(19) from Giovanni Resta, Aug 04 2013 STATUS approved

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Last modified August 17 07:59 EDT 2017. Contains 290635 sequences.