login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A023311 Primes that remain prime through 4 iterations of function f(x) = 4x + 3. 1
1447, 2207, 6211, 6607, 8369, 9769, 11821, 13537, 13729, 13781, 15581, 17231, 17497, 27817, 32059, 32569, 32611, 33647, 36251, 39079, 46381, 47417, 55127, 55171, 57077, 60869, 63361, 64327, 68927, 77951, 81619, 85469, 86767, 88001, 94099, 94477, 96149 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes p such that 4*p+3, 16*p+15, 64*p+63 and 256*p+255 are also primes. - Vincenzo Librandi, Aug 04 2010

LINKS

John Cerkan, Table of n, a(n) for n = 1..10000

FORMULA

a(n) == 3 or 9 (mod 14). - John Cerkan, Oct 04 2016

PROG

(MAGMA) [n: n in [1..1000000] | IsPrime(n) and IsPrime(4*n+3) and IsPrime(16*n+15) and IsPrime(64*n+63) and IsPrime(256*n+255)] // Vincenzo Librandi, Aug 04 2010

CROSSREFS

Sequence in context: A031536 A181973 A226097 * A318710 A208486 A242038

Adjacent sequences:  A023308 A023309 A023310 * A023312 A023313 A023314

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 18 19:38 EDT 2021. Contains 344002 sequences. (Running on oeis4.)