A053303 Length of maximal prime gap p_{k+1} - p_k with starting prime p_k < 10^n.

4, 8, 20, 36, 72, 114, 154, 220, 282, 354, 464, 540, 674, 804, 906, 1132

Offset: 1

Author

Enoch Haga, Mar 05 2000

Keywords

• nonn

Comments

Prime gaps associated with A053302.

a(17) is probably 1220 and a(19) is probably 1296. - Robert G. Wilson v, Mar 16 2004

Examples

			a(1) = 4 from 7 to 11. a(2) = 8 from 89 to 97. a(3) = 20 from 887 to 907.
a(5)=72 because the 5-digit prime 31397 begins a gap of 72.
		

Links

• Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]
• Eric Weisstein's World of Mathematics, Prime Gaps

Crossrefs

p_k's are in A053302. Cf. A005250, A002386. Essentially the same as A038460.

Extensions

a(16) from Eric W. Weisstein, Mar 05 2004