A065584 Smallest prime beginning with exactly n 1's.

2, 13, 11, 1117, 11113, 111119, 11111101, 11111117, 111111113, 11111111129, 11111111113, 1111111111139, 11111111111123, 1111111111111013, 1111111111111123, 11111111111111101, 11111111111111119

Offset: 0

Author

Robert G. Wilson v, Nov 28 2001

Keywords

• nonn
• base

Comments

Largest terms are only probable primes. Some terms of the sequence are also in A004022 (repunit primes) or A056710 (all digits same except last digit). All terms of A004022 are in the current sequence.

According to the Magma Calculator (at http://magma.maths.usyd.edu.au/calc/), all 201 terms in the table (and thus all 17 terms listed above) are, in fact, prime. - Jon E. Schoenfield, Aug 24 2009

Links

• M. F. Hasler, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A065821, A068103, A068104, A068105.

Cf. A004022 (repunit primes), A056710 (near-repdigit primes).

Extensions

Corrected by Don Reble, Jan 17 2007

Offset corrected by Sean A. Irvine, Sep 06 2023