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

Author

Stanislav Sykora, Mar 06 2014

Keywords

• nonn
• fini
• full
• base

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.

Examples

			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).
		

Links

• Stanislav Sykora, Table of n, a(n) for n = 1..1552
• Stanislav Sykora, PARI/GP scripts for genetic threads, with code and comments.

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.

Programs

PARI

See the link.