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

3,1

Comments

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

Links

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

Rémy Sigrist, PARI program

Example

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.

Prog

(PARI) See Links section.

Crossrefs

Cf. A085823, A213300.

Sequence in context: A160852 A185627 A216585 * A138792 A058056 A266579

Adjacent sequences: A245274 A245275 A245276 * A245278 A245279 A245280

Keyword

nonn,base

Author

Joonas Pohjonen, Jul 16 2014

Status

approved