A245277 Largest prime all of whose substrings in its base n representation are primes.

2, 11, 67, 23, 37, 491, 47, 373, 79, 6043, 379, 2203, 647, 3389, 631, 34807, 211, 28663, 1283, 6449, 439, 266003, 577, 15649, 1811, 244471, 379, 485504623, 157, 31907, 2939, 15269, 2557, 22948529, 853, 197959, 743, 59723, 113, 96873817

Offset: 3

Author

Joonas Pohjonen, Jul 16 2014

Keywords

• nonn
• base

Comments

For detailed comments for a(10)=373, see A085823 and A213300.

Examples

			a(5) = 67 = 232_5, since all its substrings in base 5 (2, 3, 23_5 = 13, 32_5 = 17 and 232_5 = 67) are primes. There are no greater primes with this property.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 3..2500
• Rémy Sigrist, PARI program

Crossrefs

Cf. A085823, A213300.

Programs

PARI

See Links section.