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A166594
Maximal prime gap q-p encountered from 0 to least prime > n.
3
2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
OFFSET
0,1
REFERENCES
D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, 1996, Section VII.22, p. 249.
LINKS
Helmut Maier and Carl Pomerance, Unusually large gaps between consecutive primes, Transactions of the American Mathematical Society 322.1 (1990): 201-237.
EXAMPLE
a(0) = 2 since the least prime greater than 0 is 2 (first occurrence of gap 2).
a(7) = 4 since the least prime greater than 7 is 11 (first occurrence of gap 4).
CROSSREFS
KEYWORD
nonn
AUTHOR
Daniel Forgues, Oct 17 2009
STATUS
approved