A238852 Right-truncatable, reversible primes in base 100.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 311, 313, 347, 349, 353, 359, 367, 701, 709, 719, 727, 733, 739, 751, 769, 773, 787, 1103, 1109, 1123, 1163, 1181, 1193, 1301, 1303, 1319, 1321, 1327, 1361, 1777

Offset

1,1

Comments

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

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

Links

Stanislav Sykora, Table of n, a(n) for n = 1..1552

Stanislav Sykora, PARI/GP scripts for genetic threads, with code and comments.

Example

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).

Prog

(PARI) See the link.

Crossrefs

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

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

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

Sequence in context: A069683 A069684 A061022 * A079152 A124590 A049573

Adjacent sequences: A238849 A238850 A238851 * A238853 A238854 A238855

Keyword

nonn,fini,full,base

Author

Stanislav Sykora, Mar 06 2014

Status

approved