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A245277 Largest prime all of whose substrings in its base n representation are primes. 2
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 (list; graph; refs; listen; history; text; internal format)
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 for A24527

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

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Last modified May 22 11:06 EDT 2022. Contains 353949 sequences. (Running on oeis4.)