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A057626
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Initial prime in first sequence of n primes congruent to 2 modulo 5.
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1
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2, 337, 1627, 57427, 192637, 776257, 15328637, 70275277, 244650317, 452942827, 452942827, 73712513057, 319931193737, 2618698284817
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Same as A068150 except a(1). - Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Jun 03 2006
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LINKS
| J. K. Andersen, Consecutive Congruent Primes.
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EXAMPLE
| a(5) = 192637 because this number is the first in a sequence of 5 consecutive primes all of the form 5n + 2.
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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 ] != {2}, 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} ]
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CROSSREFS
| Sequence in context: A203608 A159488 A083863 * A201310 A063968 A172136
Adjacent sequences: A057623 A057624 A057625 * A057627 A057628 A057629
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 09 2000
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EXTENSIONS
| More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Jun 03 2006
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