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A057618
Initial prime in first sequence of n primes congruent to 1 modulo 5.
2
11, 181, 4831, 22501, 216401, 2229971, 3873011, 36539311, 36539311, 196943081, 14293856441, 154351758091, 154351758091, 154351758091, 11992377039481, 41947964349971, 253931039382791, 253931039382791, 253931039382791
OFFSET
1,1
COMMENTS
a(20) > 4*10^14. - Giovanni Resta, Aug 04 2013
REFERENCES
Carlos Rivera's The prime puzzles & problems connection, Puzzle 16 - Consecutive primes and ending digit
EXAMPLE
a(6) = 2229971 because this number is the first in a sequence of 6 consecutive primes all of the form 5n + 1.
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 ] != {1}, k = NextPrime[ k ]; a = Take[ AppendTo[ a, Mod[ k, 5 ] ], -n ] ]; p = NestList[ PrevPrime, k, n ]; Print[ p[ [ -2 ] ] ]; p = p[ [ -1 ] ], {n, 1, 10} ]
CROSSREFS
Cf. A054681.
Sequence in context: A112943 A258381 A372279 * A270663 A068648 A209351
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Oct 09 2000
EXTENSIONS
More terms from Jens Kruse Andersen, Jun 03 2006
a(15)-a(19) from Giovanni Resta, Aug 04 2013
STATUS
approved