A038343 Maximal value of difference between successive primes among the first 10^n primes.

6, 18, 34, 72, 114, 154, 222, 292, 394, 486, 652, 766

Offset: 1

Author

Enoch Haga

Keywords

• nonn
• more

Examples

			Among the first 10 primes, {2,3,...,23,29}, the largest difference is 29-23=6. Therefore 6 is the largest prime gap in the first ten primes.
		

References

• Enoch Haga, Exploring Primes on Your PC, 2nd edition, 1998, ISBN 1-885794-16-9. Table 2, page 33.

Links

• Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101].

Crossrefs

Cf. A005250.

Programs

Mathematica

a = 1; b = 1; d = 0; k = 1; Do[ While[k <= 10^n, a = b; b = Prime[k]; If[b - a > d; d = b - a]; k++ ]; Print[d], {n, 12}] (* Robert G. Wilson v, Sep 24 2004 *)

Extensions

Edited and extended by Robert G. Wilson v, Sep 24 2004