A069246 Primes which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end).

3, 7, 13, 31, 103, 109, 151, 181, 193, 367, 571, 601, 613, 811, 1117, 1831, 4519, 6871, 11119, 11317, 11467, 13171, 16141, 17167, 18211, 18457, 27241, 38917, 55381, 71317, 81199, 81931, 86743, 114031, 139861, 141667, 151687, 179203, 200191

Offset: 1

Author

N. J. A. Sloane, Apr 14 2002

Keywords

• nonn
• easy
• base

Links

• Giovanni Resta, Table of n, a(n) for n = 1..270 (terms 1..77 from Vincenzo Librandi, terms 78..145 from Zak Seidov)

Crossrefs

Prime subsequence of A068679.

Cf. A215417, A215419 - A215421.

Programs

Magma

[p: p in PrimesUpTo(210000) | forall{m: t in [0..#Intseq(p)] | IsPrime(m) where m is (Floor(p/10^t)*10+1)*10^t+p mod 10^t}]; // Bruno Berselli, Sep 03 2012

Mathematica

d[n_]:=IntegerDigits[n]; ins[n_]:=FromDigits/@Table[Insert[d[n],1,k],{k,Length[d[n]]+1}]; Select[Prime[Range[20000]],And@@PrimeQ/@ins[#] &] (* Jayanta Basu, May 20 2013 *)

Extensions

More terms from Vladeta Jovovic, Apr 16 2002