A078251 a(n) = smallest multiple of the n-th prime whose decimal expansion is nnn...n, or 0 if no such number exists.

0, 222, 0, 444444, 55, 666666, 7777777777777777, 888888888888888888, 9999999999999999999999, 1010101010101010101010101010, 111111111111111111111111111111, 121212, 1313131313

Offset

1,2

Comments

Conjecture: No entry is zero for n > 3.

No entry is zero for n > 3 because 10 is only divisible by the first and the third primes. In particular, for n>3 the number formed by nn..n (n-th prime - 1) n's is divisible by n-th prime. - Sascha Kurz, Jan 04 2003

Links

Table of n, a(n) for n=1..13.

Example

a(6) = 666666 is the smallest multiple of 6th prime 13 using digit 6.

Crossrefs

Sequence in context: A083958 A083959 A078212 * A092625 A043612 A371423

Adjacent sequences: A078248 A078249 A078250 * A078252 A078253 A078254

Keyword

base,nonn

Author

Amarnath Murthy, Nov 24 2002

Extensions

More terms from Sascha Kurz, Jan 04 2003

Status

approved