A046357 Composite palindromes with only palindromic prime factors whose sum is palindromic (counted with multiplicity).

4, 6, 8, 9, 121, 1331, 5445, 10201, 13231, 14641, 15251, 18281, 19291, 31613, 35653, 37673, 38683, 52525, 59895, 1030301, 1336331, 3192913, 8117118, 104060401, 134969431, 286121682, 319464913, 677707776

Offset: 1

Author

Patrick De Geest, Jun 15 1998

Keywords

• nonn
• base

Examples

			319464913 = 10301 * 31013 and 10301 + 31013 = 41314 and all are palindromic.
		

Crossrefs

Cf. A046355, A046356.

Programs

Mathematica

palQ[n_]:= Reverse[x=IntegerDigits[n]] == x; t={}; Do[If[!PrimeQ[n] && And@@palQ/@Join[{n, Total[Times@@@(x=FactorInteger[n])]}, First/@x], AppendTo[t,n]],{n, 2, 3.2*10^6}]; t (* Jayanta Basu, Jun 05 2013 *)

Formula

A046355 INTERSECT A002113. - R. J. Mathar, Sep 09 2015