A192140 Palindromic numbers m such that their concatenation of prime divisors are also palindromic numbers.

2, 3, 4, 5, 7, 8, 9, 11, 101, 121, 131, 151, 181, 191, 313, 343, 353, 373, 383, 727, 747, 757, 787, 797, 919, 929, 1331, 10001, 10201, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14641, 14741, 15451, 15551, 16061, 16361

Offset

1,1

Comments

The corresponding values of palindromic concatenation in A192141.

Superset of A002385 (palindromic primes) and A084092 (prime power decimal palindromes).

Subset of A002113 (palindromic numbers) and A192137.

Links

Table of n, a(n) for n=1..47.

Example

Concatenation of prime divisors of number 747 = 3^2 * 83 is 383 (palindromic number).

Mathematica

f[n_] := FromDigits[Flatten[IntegerDigits /@ FactorInteger[n][[;; , 1]]]]; Select[Range[2, 20000], And @@ (PalindromeQ /@ {#, f[#]}) &] (* Amiram Eldar, Aug 06 2024 *)

Crossrefs

Cf. A002113, A002385, A084317, A084092, A192137, A192138, A192139, A192141.

Sequence in context: A098776 A098897 A265641 * A084092 A288927 A342513

Adjacent sequences: A192137 A192138 A192139 * A192141 A192142 A192143

Keyword

nonn,base

Author

Jaroslav Krizek, Jun 24 2011

Extensions

More terms from Amiram Eldar, Aug 06 2024

Status

approved