|
Search: id:A057626
|
|
|
| A057626 |
|
Initial prime in first sequence of n primes congruent to 2 modulo 5. |
|
+0
2
|
|
| 2, 337, 1627, 57427, 192637, 776257, 15328637, 70275277, 244650317, 452942827, 452942827, 73712513057, 319931193737, 2618698284817
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Same as A068150 except a(1). - Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Jun 03 2006
|
|
LINKS
|
J. K. Andersen, Consecutive Congruent Primes.
|
|
EXAMPLE
|
a(5) = 192637 because this number is the first in a sequence of 5 consecutive primes all of the form 5n + 2.
|
|
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} ]
|
|
CROSSREFS
|
Sequence in context: A142355 A159488 A083863 this_sequence A063968 A064501 A063831
Adjacent sequences: A057623 A057624 A057625 this_sequence A057627 A057628 A057629
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 09 2000
|
|
EXTENSIONS
|
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Jun 03 2006
|
|
|
Search completed in 0.002 seconds
|
