A330616 Palindromes that are the product of 2 non-palindromic numbers.

252, 272, 323, 414, 434, 444, 464, 494, 525, 555, 575, 585, 595, 636, 646, 656, 666, 676, 686, 696, 767, 777, 828, 848, 868, 888, 949, 969, 989, 999, 2002, 2112, 2772, 2992, 3003, 3553, 4004, 4224, 4554, 4774, 4884, 5005, 5115, 5225, 5775, 6006, 6336, 6996, 7007

Offset: 1

Author

Bernard Schott, Mar 01 2020

Keywords

• nonn
• base

Examples

			272=16*17 is a term but 282=6*47 is not a term.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of A084325 (palindromes such that at least one divisor is non-palindromic).

Cf. A062687 (numbers all of whose divisors are palindromic).

Programs

Mathematica

seqQ[n_] := PalindromeQ[n] && AnyTrue[Divisors[n], ! PalindromeQ[#] && ! PalindromeQ[n/#] &]; Select[Range[7007], seqQ] (* Amiram Eldar, Mar 01 2020 *)

Extensions

More terms from Amiram Eldar, Mar 01 2020