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

Author

Farideh Firoozbakht, Jun 28 2004

Keywords

• base
• nonn
• changed

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. - Harvey P. Dale, May 13 2012

Examples

			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).
		

Links

• Carlos Rivera, Puzzle 273. Consecutive 'good' primes, The Prime Puzzles & Problems Connection.
• Eric Weisstein's World of Mathematics, Good Prime.

Crossrefs

Cf. A028388, A002385.

Programs

Mathematica

b[n_]:=(For[m=1, mPrime[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}]