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A237602 Largest prime with n hexadecimal digits which is a right-truncatable prime in base 16. 11

%I #12 Nov 07 2018 21:52:22

%S 13,223,3583,57331,916831,14669299,234708791,3744723967,59915583473,

%T 958649335571,14567880621971,65540984520023,1048655752320287,

%U 16778492037124607

%N Largest prime with n hexadecimal digits which is a right-truncatable prime in base 16.

%C See A237600 for a complete list of right-truncatable primes in base 16.

%C Right-truncatable 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

%H Stanislav Sykora, <a href="https://oeis.org/wiki/File:GeneticThreads.txt">PARI/GP scripts for genetic threads</a>

%e The largest right-truncatable prime with 8 hex digits, written in hex notation, is DF33F3FF (in decimal, 3744723967).

%o (PARI) See the link (use GT_DivMod0 with arguments "isprime" for "property" and 16 for "b").

%o (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

%Y Cf. A127890 (base 10), A237600, A237601, A237602.

%K nonn,base,fini,full

%O 1,1

%A _Stanislav Sykora_, Feb 15 2014

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