

A237602


Largest prime with n hexadecimal digits which is a righttruncatable prime in base 16.


11



13, 223, 3583, 57331, 916831, 14669299, 234708791, 3744723967, 59915583473, 958649335571, 14567880621971, 65540984520023, 1048655752320287, 16778492037124607
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OFFSET

1,1


COMMENTS

See A237600 for a complete list of righttruncatable primes in base 16.
Righttruncatable means that the integer part of successive divisions by 16 yields again primes (or zero). There are no such numbers with more than 14 digits in base 16.  M. F. Hasler, Nov 07 2018


LINKS

Table of n, a(n) for n=1..14.
Stanislav Sykora, PARI/GP scripts for genetic threads


EXAMPLE

The largest righttruncatable prime with 8 hex digits, written in hex notation, is DF33F3FF (in decimal, 3744723967).


PROG

(PARI) See the link (use GT_DivMod0 with arguments "isprime" for "property" and 16 for "b").
(PARI) A237602=vector(14, n, p=concat(apply(t>primes([t, t+1]*16), if(n>1, p))); p[#p]) \\ Only the largest term is needed, but we keep all of them since we don't know which will produce "successors".  M. F. Hasler, Nov 07 2018


CROSSREFS

Cf. A127890 (base 10), A237600, A237601, A237602.
Sequence in context: A062127 A178559 A068120 * A050523 A160196 A218588
Adjacent sequences: A237599 A237600 A237601 * A237603 A237604 A237605


KEYWORD

nonn,base,fini,full,changed


AUTHOR

Stanislav Sykora, Feb 15 2014


STATUS

approved



