OFFSET
0,1
COMMENTS
Conjecture: a(n) = 1 for infinitely many n, but a(n)>=2 for only finitely many; in fact it may be that a(n)<=1 for n > 775. - Robert Israel, Feb 28 2020
REFERENCES
Marcus du Sautoy, "The Music of the Primes," HarperCollins, NY, 2003, page 6.
LINKS
Robert Israel, Table of n, a(n) for n = 0..4000
EXAMPLE
a(7)=2 because there are 2 primes, 10000019 and 10000079, in the 100 numbers above 10000000.
MAPLE
q:= select(t -> t mod 3 <> 2 and igcd(t, 10)=1, [$1..99]):
f:= proc(n) local T; T:= 10^n;
numboccur(true, map(t -> isprime(T+t), q))
end proc:
f(0):= 26:
map(f, [$0..100]); # Robert Israel, Feb 28 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Jason Earls, May 14 2004
STATUS
approved