OFFSET
1,2
REFERENCES
D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, 1996, Section VII.22, p. 249. (See G(x), which is an analog of pi(x).)
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..10000
EXAMPLE
A value of d in this sequence persists until a larger value arises. Note that values like 10, 12, 16 are never maximal. Distinct, increasing prime gaps are given in A005250.
MATHEMATICA
Table[Max[Table[Prime[w+1]-Prime[w], {w, 1, j}]], {j, 1, 500}] a(n)= Max{p[j+1]-p[j]; j=1, ..n}
PROG
(Python)
from sympy import nextprime
def A063095(n):
c, p = 0, 2
for i in range(n):
q = nextprime(p)
c, p = max(c, q-p), q
return c # Chai Wah Wu, Sep 11 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Aug 07 2001
STATUS
approved