A193419 Numbers n such that 4n+3 is a palindromic prime.

0, 1, 2, 32, 37, 47, 95, 181, 196, 229, 2827, 2852, 3332, 3457, 3482, 3862, 3887, 4367, 4492, 4847, 4972, 4997, 7525, 7550, 7600, 7675, 7700, 8080, 8105, 8635, 8710, 9065, 9140, 9520, 9545, 9695, 17551, 17626, 17651, 18056, 18181, 18511, 18686, 19091, 19166

Offset

1,3

Comments

The subsequence of primes p such that 4p+3 is a palindromic prime begins: 2, 37, 47, 181, 229, 3457.

Links

Table of n, a(n) for n=1..45.

Formula

{n such that A004767(n) is in A002385}.

Example

a(1) = 2 because 4*2 + 3 = 11, and R(11) = 11 is prime.
a(2) = 37 because 4*37 + 3 = 151 is prime, and R(151) = 151.

Mathematica

ppQ[n_]:=Module[{c=4n+3, d}, d=IntegerDigits[c]; PrimeQ[c]&&d == Reverse[ d]]; Select[Range[0, 20000], ppQ] (* Harvey P. Dale, Aug 02 2011 *)

Crossrefs

Cf. A000040, A002385, A004767, A004086, A192261.

Sequence in context: A004842 A022378 A306950 * A160557 A103028 A139732

Adjacent sequences: A193416 A193417 A193418 * A193420 A193421 A193422

Keyword

nonn,easy,base

Author

Jonathan Vos Post, Jul 26 2011

Status

approved