A309566 a(n) is the least prime that can be written as a sequence of primes separated by n single zeros, and where every 0-splitting is prime.

307, 130307, 309370307, 30281172370306703

Offset: 1

Author

Michel Marcus, Aug 08 2019

Keywords

• nonn
• base
• fini
• full

Examples

			a(1) = 307 = A309101(1).
130307 is a term since 3, 7, 13, 307, 1303, 130307 are all prime.
		

Links

• Carlos Rivera, Puzzle 970. A309566

Crossrefs

Subsequence of A309101.

Cf. A000040 (primes), A038618 (zeroless primes), A056709 (primes with zeros).

Extensions

a(4) from Daniel Suteu and Giovanni Resta, Aug 09 2019