A275235 - OEIS

A275235

Number of primes between n and n+log(n)^2.

0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4

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OFFSET

1,9

COMMENTS

According to Schinzel's formulation of Cramer's conjecture, a(n) > 0 for n > 7; see Guy.

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, 3rd ed., Springer, 2004, page 11.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

FORMULA

a(n) ~ log(n). - Ilya Gutkovskiy, Jul 22 2016

MATHEMATICA