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A238852 Right-truncatable, reversible primes in base 100. 8

%I #13 Mar 20 2014 21:04:24

%S 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,

%T 97,311,313,347,349,353,359,367,701,709,719,727,733,739,751,769,773,

%U 787,1103,1109,1123,1163,1181,1193,1301,1303,1319,1321,1327,1361,1777

%N Right-truncatable, reversible primes in base 100.

%C See A238850 for definitions, and A238854 for comments on general context.

%C In base 100, chosen as one of four examples, there are 1552 such numbers.

%H Stanislav Sykora, <a href="/A238852/b238852.txt">Table of n, a(n) for n = 1..1552</a>

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

%e The largest number of this type (using hyphens to separate the base 100 digits) is 19-07-93-27-17-37-99-47-19-11.Truncate any even number of decimal digits on its right, and the remaining prefix is still a base-100 reversible prime (e.g., 19079327 and 27930719 are both primes).

%o (PARI) See the link.

%Y Cf. All in base 10: A238850, 16: A238851, 256: A238853.

%Y Cf. In base n: A238854 (largest), A238855 (totals), A238856 (maximum digits), A238857 (m-digit counts).

%Y Cf. A007500, A023107, A024770, A237600, A237601, A237602.

%K nonn,fini,full,base

%O 1,1

%A _Stanislav Sykora_, Mar 06 2014

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