A078754 Numbers k such that for all m>k there are more than n primes between m and 2m (inclusive).

1, 8, 14, 20, 21, 26, 33, 35, 48, 50, 51, 63, 74, 75, 81, 86, 90, 111, 114, 116, 119, 120, 128, 134, 140, 153, 155, 168, 174, 183, 186, 200, 204, 209, 215, 216, 219, 230, 243, 245, 249, 284, 285, 288, 296, 299, 300, 303, 320, 321, 323, 326, 329, 338, 354, 363

Offset: 1

Author

Jason Earls, Jan 08 2003

Keywords

• nonn

Comments

The terms shown are only conjectured values.

Examples

			a(3)=14 because for m>14, more than 3 primes always exist between m and 2m (inclusive).
		

Crossrefs

Cf. A035250.

Programs

PARI

pn2n(n) = sum(k=n,2*n,if(isprime(k),1,0));
mpn2n(a,m, w)=local(k,M); for(n=a,m, M=0; k=0; while(k