A335934 Smallest palindrome in base 10 whose factorization contains n distinct base 10 palindromic prime factors.

1, 2, 6, 66, 2772, 279972, 67566576, 5159488849515, 83797355379738

Offset: 0

Author

Chai Wah Wu, Jun 30 2020

Keywords

• nonn
• hard
• base

Comments

For n <= 6, a(n) does not have a non-palindromic prime factor, i.e. a(n) has n distinct prime factors and they are all palindromes. On the other hand, a(7) contains a prime factor 13, which is not a palindrome.

Examples

			a(6) = 67566576 = 2^4*3*7*11*101*181 has 6 distinct palindromic prime factors.
		

Crossrefs

Cf. A002113, A002385, A046385, A309565.

Extensions

a(8) from David A. Corneth, Jul 01 2020