

A214956


Number of primes of the form x^32 + 1 less than 10^n.


2



1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,48


COMMENTS

It is conjectured that there are infinitely many primes of the form x^32 + 1 (and thus this sequence never becomes constant), but this has not been proved.


LINKS

Henryk Dabrowski, Table of n, a(n) for n = 1..128


EXAMPLE

a(55) = 2 because the only primes of the form x^32 + 1 < 10^55 are the primes: 2, 185302018885184100000000000000000000000000000001.


PROG

(PARI) a(n) = sum(k=1, (10^n1)^(1/32), isprime(k^32+1))


CROSSREFS

Cf. A006315 (k such that k^32+1 is prime).
Cf. A083844, A214452, A214454, A214455.
Sequence in context: A261226 A003108 A279223 * A209899 A111898 A279041
Adjacent sequences: A214953 A214954 A214955 * A214957 A214958 A214959


KEYWORD

nonn


AUTHOR

Henryk Dabrowski, Jul 30 2012


STATUS

approved



