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Search: id:A057633
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| A057633 |
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Initial prime in first sequence of n primes congruent to 5 modulo 8. |
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+0
1
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| 5, 389, 2213, 45013, 73133, 1319861, 3250469, 29662253, 35677501, 101341613, 12664911341, 12664911341, 124809839701, 132932904029, 1181960064853
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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J. K. Andersen, Consecutive Congruent Primes.
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EXAMPLE
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a(3) = 2213 because this number is the first in a sequence of 3 consecutive primes all of the form 8n + 5.
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MATHEMATICA
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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 ] != {5}, 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} ]
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CROSSREFS
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Sequence in context: A100474 A152438 A060506 this_sequence A006700 A079011 A128866
Adjacent sequences: A057630 A057631 A057632 this_sequence A057634 A057635 A057636
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 10 2000
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EXTENSIONS
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More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), May 28 2006
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