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A023237
Numbers k such that k and 10*k + 1 are both prime.
8
3, 7, 13, 19, 31, 43, 97, 103, 109, 151, 157, 181, 193, 211, 241, 271, 337, 349, 367, 409, 421, 439, 487, 523, 547, 571, 601, 613, 631, 691, 733, 769, 811, 823, 829, 883, 937, 1009, 1021, 1033, 1039, 1063, 1069, 1117, 1201, 1249, 1279, 1291, 1459, 1483, 1489
OFFSET
1,1
COMMENTS
Primes which with a 1 appended stay prime.
Corresponding values of 10n + 1 in A055781. - Jaroslav Krizek, Jul 14 2010
Subsequence of A024912. - Michel Marcus, May 21 2014
LINKS
MAPLE
with(numtheory); for i from 1 to 500 do if isprime(10*ithprime(i)+1) then printf(`%d, `, ithprime(i)) fi: od: # James A. Sellers, Apr 09 2005
MATHEMATICA
Select[Prime[Range[ 240]], PrimeQ[FromDigits[Join[IntegerDigits[ # ], {1}]]] &] (* Robert G. Wilson v, Apr 09 2005 *)
Select[Prime[Range[900]], PrimeQ[10 # + 1] &] (* Vincenzo Librandi, May 21 2014 *)
PROG
(Magma) [n: n in [0..1000] | IsPrime(n) and IsPrime(10*n+1)] // Vincenzo Librandi, Nov 20 2010
(Magma) [p: p in PrimesUpTo(1100)| IsPrime(10*p+1)]; // Vincenzo Librandi, May 21 2014
CROSSREFS
KEYWORD
nonn,easy
EXTENSIONS
Edited by N. J. A. Sloane at the suggestion of M. F. Hasler, Aug 24 2007
STATUS
approved