A096473 Palindromic good primes.

5, 11, 101, 191, 727, 929, 30803, 74047, 77477, 1123211, 1150511, 1338331, 1444441, 1684861, 1761671, 3065603, 3392933, 3503053, 3541453, 9779779, 9845489, 9926299, 9927299, 9932399, 112959211, 113030311, 114535411, 119676911

Offset

1,1

Comments

p is in the sequence iff p is in the sequences A028388 and A002385.

Thus, version 2 (A028388) of the definition of "good primes" is used here. [From Harvey P. Dale, May 13 2012]

Links

Table of n, a(n) for n=1..28.

Eric Weisstein's World of Mathematics, Good Prime

C. Rivera, Consecutive 'good' primes

Example

11 is in the sequence because 11 is a palindromic number which is
a good prime(11^2>7*13, 11^2>5*17, 11^2>3*19 & 11^2>2*23).

Mathematica

b[n_]:=(For[m=1, m<n&&Prime[n]^2>Prime[n-m]Prime[n+m], m++ ]; m); v={}; Do[If[IntegerDigits[Prime[n]]==Reverse[IntegerDigits[Prime [n]]]&& b[n]==n, v=Append[v, Prime[n]]; Print[v]], {n, 6986301}]

Crossrefs

Cf. A028388, A002385.

Sequence in context: A066596 A199325 A199305 * A007530 A157967 A088268

Adjacent sequences: A096470 A096471 A096472 * A096474 A096475 A096476

Keyword

base,nonn

Author

Farideh Firoozbakht, Jun 28 2004

Status

approved