A259152 a(n) = smallest n-digit prime with first 10 digits distinct.

10234567897, 102345678907, 1023456789013, 10234567890077, 102345678900007, 1023456789000073, 10234567890000053, 102345678900000059, 1023456789000000049, 10234567890000000007

Offset

11,1

Comments

There is no 10-digit prime with the first 10 digits distinct, hence offset=11.

Links

Robert Israel, Table of n, a(n) for n = 11..900

Maple

seq(nextprime(1023456789*10^(d-10)), d=11..100); # Robert Israel, Jun 19 2015

Mathematica

Table[NextPrime[1023456789*10^(d - 10)], {d, 11, 100}] (* Michael De Vlieger, Jun 19 2015, after the Maple by Robert Israel *)

Prog

(Perl) use Math::GMPz; use ntheory ":all"; do { my $n=next_prime(1023456789 * Math::GMPz->new(10)**($_-10)); say $n; } for (11..100); # Dana Jacobsen, Jun 26 2015

Crossrefs

Cf. A000040, A007810, A029743, A259146.

Sequence in context: A144648 A098143 A276590 * A371361 A135047 A017541

Adjacent sequences: A259149 A259150 A259151 * A259153 A259154 A259155

Keyword

nonn,base

Author

Zak Seidov, Jun 19 2015

Status

approved