A265641 Palindromes in base 10 (A002113) which are also prime factorization palindromes (A265640).

1, 2, 3, 4, 5, 7, 8, 9, 11, 44, 99, 101, 121, 131, 151, 171, 181, 191, 212, 242, 252, 272, 292, 313, 333, 343, 353, 363, 373, 383, 404, 464, 484, 575, 656, 676, 727, 747, 757, 787, 797, 828, 848, 909, 919, 929, 1331, 5445, 6336, 8228

Offset: 1

Author

Vladimir Shevelev, Dec 11 2015

Keywords

• nonn
• base

Comments

Composite numbers in the sequence have two forms of symmetry.

Examples

			5445 = 3*11*5*11*3, so it is a term.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000
• David A. Corneth, n, a(n), symmetric factorization of a(n)
• David A. Corneth, PARI program

Crossrefs

Intersection of A002113 and A265640.

Programs

PARI

isok(n) = (Vecrev(m=digits(n))==m) && (isprime(core(n)) || issquare(n)); \\ Michel Marcus, Jan 15 2019

PARI

\\ See Corneth link \\ David A. Corneth, Jan 22 2019

Extensions

Missing term 8 inserted by Martin Schlegel, Jan 15 2019