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Search: id:A057632
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| A057632 |
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Initial prime in first sequence of n primes congruent to 3 modulo 8. |
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+0
1
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| 3, 491, 2243, 42299, 274123, 4310083, 4310083, 9065867, 547580443, 1885434347, 8674616939, 11312238283, 19201563659, 619849118491, 4056100954547
(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) = 2243 because this number is the first in a sequence of 3 consecutive primes all of the form 8n + 3.
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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 ] != {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.
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CROSSREFS
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Adjacent sequences: A057629 A057630 A057631 this_sequence A057633 A057634 A057635
Sequence in context: A140015 A045616 A142801 this_sequence A024045 A003392 A133026
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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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