

A108519


a(n) is the smallest natural number m such that (10^n)!  m is prime.


1




OFFSET

1,1


COMMENTS

If a(n) is composite then a(n)>10^(2n)+2*10^n. Conjecture: All terms are noncomposite numbers.


LINKS



EXAMPLE

a(3)=6701 because (10^3)!6701 is prime and for 0<m<6701 1000!m is
composite.


MATHEMATICA

a[n_] := (For[m = 1, ! PrimeQ[(10^n)!  m], m++ ]; m); Do[Print[a[n]], {n, 3}]


CROSSREFS



KEYWORD

more,nonn,bref


AUTHOR



STATUS

approved



