

A161614


Primes p such that 2*p+100280245065 is also a prime number.


1



41, 43, 89, 127, 137, 157, 193, 211, 233, 241, 251, 271, 283, 317, 331, 353, 389, 401, 419, 461, 487, 503, 521, 547, 557, 613, 619, 751, 787, 827, 857, 919, 929, 937, 941, 953, 1009, 1013, 1021, 1033, 1069, 1097, 1103, 1163, 1171, 1193, 1229, 1361, 1367
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OFFSET

1,1


COMMENTS

The large constant is constructed from 3*5*7*11*13*17*19*23*29*31 = 100280245065.


LINKS



EXAMPLE

The prime 41 is in the sequence because 2*41+100280245065 = 100280245147 is also prime.


MATHEMATICA

a=3*5*7*11*13*17*19*23*29*31; c=0; lst={}; Do[p=Prime[n]; If[PrimeQ[2*p+a], AppendTo[lst, p], c++ ], {n, 6!}]; lst
With[{c=Times@@Prime[Range[2, 11]]}, Select[Prime[Range[250]], PrimeQ[ 2#+c]&]] (* Harvey P. Dale, Nov 01 2011 *)
Select[Prime[Range[300]], PrimeQ[2 # + 100280245065]&] (* Vincenzo Librandi, Apr 15 2013 *)


PROG

(Magma) [p: p in PrimesUpTo(1400)  IsPrime(2*p + 100280245065)]; // Vincenzo Librandi, Apr 15 2013


CROSSREFS



KEYWORD

nonn,less


AUTHOR



EXTENSIONS



STATUS

approved



