A276199 Smallest prime that begins with at least n digits of Pi.

3, 31, 31469, 314107, 314159, 314159, 314159207, 3141592603, 31415926541, 314159265307, 314159265359, 3141592653581, 314159265358909, 3141592653589711, 31415926535897921, 314159265358979347, 3141592653589793239, 3141592653589793239, 314159265358979323861

Offset

1,1

Links

Dana Jacobsen, Table of n, a(n) for n = 1..997 (first 28 terms from José Eduardo Gaboardi de Carvalho)

Example

a(7) = 314159207, begins with first 7 digits of Pi = 3.141592653...

Prog

(Perl) use ntheory ":all"; sub a276199 { my $l=shift; my $p="3".substr(Pi($l+20), 2, $l-1); for my $dig (0 .. 20) { my $add = "0" x $dig; do { return "$p$add" if is_prime("$p$add"); } while length(++$add) == $dig; } } # Dana Jacobsen, Aug 30 2016

Crossrefs

Cf. A005042.

Sequence in context: A261472 A144964 A168678 * A118913 A297480 A282973

Adjacent sequences: A276196 A276197 A276198 * A276200 A276201 A276202

Keyword

nonn,base

Author

José Eduardo Gaboardi de Carvalho, Aug 24 2016

Status

approved