A086920 Smallest k such that n times concatenation of k with itself followed by a 1 is a prime, or 0 if no such number exists.

1, 3, 2, 3, 3, 3, 3, 30, 6, 4, 5, 5, 25, 42, 17, 19, 2, 1, 7, 6, 6, 1, 50, 29, 138, 153, 4, 45, 54, 7, 15, 9, 78, 147, 95, 58, 102, 18, 3, 115, 54, 6, 46, 9, 24, 64, 183, 120, 3, 33, 112, 46, 105, 4, 279, 122, 68, 75, 3, 22, 294, 56, 92, 76, 6, 19, 94, 71, 12, 75, 30, 16, 78, 320, 33

Offset

1,2

Comments

Conjecture: no term is zero.

Links

Table of n, a(n) for n=1..75.

Example

a(3) = 2 as 2221 is a prime. a(4) = 3 as 33331 is a prime but 11111 and 22221 are not.
a(8) = 30 and the prime arising is 30303030303030301.

Crossrefs

Cf. A087604, A087605, A087606, A087607, A087608, A087609.

Cf. A086923.

Cf. A086766.

Sequence in context: A065801 A265705 A205237 * A182021 A370231 A117451

Adjacent sequences: A086917 A086918 A086919 * A086921 A086922 A086923

Keyword

base,nonn

Author

Amarnath Murthy, Sep 18 2003

Extensions

More terms from Ray G. Opao, Apr 15 2004

More terms from David Wasserman, Apr 12 2005

Status

approved