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A046357 Composite palindromes with only palindromic prime factors whose sum is palindromic (counted with multiplicity). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

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

EXAMPLE

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

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 *)

CROSSREFS

Cf. A046355, A046356.

Sequence in context: A076612 A182775 A046354 * A227947 A144123 A132088

Adjacent sequences:  A046354 A046355 A046356 * A046358 A046359 A046360

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Jun 15 1998.

STATUS

approved

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Last modified July 17 01:41 EDT 2018. Contains 312693 sequences. (Running on oeis4.)