cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Jonathan Vos Post, Jul 26 2011

Keywords

Comments

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

Examples

			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.
		

Crossrefs

Programs

  • 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 *)

Formula

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