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A038343 Maximal value of difference between successive primes among the first 10^n primes. +0
3
6, 18, 34, 72, 114, 154, 222, 292, 394, 486, 652, 766 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

LINKS

Thomas J. Nicely, First occurrence prime gaps.

EXAMPLE

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.

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}] (from Robert G. Wilson v Sep 24 2004)

CROSSREFS

Cf. A005250.

Sequence in context: A096286 A110671 A134078 this_sequence A110965 A111147 A069958

Adjacent sequences: A038340 A038341 A038342 this_sequence A038344 A038345 A038346

KEYWORD

nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net)

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 24 2004

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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