A155214 Palindromes n with the property that for some prime p, n = p + prime(p).

5, 8, 424, 606, 666, 2552, 42924, 63936, 80108, 85358, 206602, 210012, 255552, 617716, 624426, 2003002, 2056502, 2178712, 2229222, 2239322, 2253522, 2358532, 2400042, 2426242, 2554552, 2634362, 2702072, 2804082, 2907092, 2948492

Offset: 1

Author

Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 22 2009, Mar 02 2009, Mar 04 2009

Keywords

• nonn
• base

Comments

It is conjectured that the sequence is infinite.

Examples

			2+prime(2) = 2+3 = 5; 3+prime(3) = 3+5 = 8; 270527+prime(270527) = 270527+3808177 = 4078704, etc.
		

Links

• Ulrich Krug, Aurelien Herault, and Harvey P. Dale, Table of n, a(n) for n = 1..300 (the initial 83 terms were provided by Ulrich Krug and Aurelien Herault)

Crossrefs

See A145531 for the primes p.

Programs

Mathematica

Select[#+Prime[#]&/@Prime[Range[50000]],IntegerDigits[#] == Reverse[ IntegerDigits[ #]]&] (* Harvey P. Dale, Sep 09 2012 *)

Extensions

Edited by N. J. A. Sloane, Mar 02 2009

a(60)-a(83) from Aurelien Herault (aurelien(AT)a2studio.fr), Mar 16 2009

Examples culled by D. S. McNeil, Nov 21 2010