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A053976 Least number such that a(n) and nextprime(a(n)) differ by at least a power of 10, 10^m, where m >= n. 2
2, 113, 370261, 1693182318746371 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
a(4) <= 7910896513*A034386(283)/30 - 6480, a(5) <= 64279*A034386(3371)/5610 - 71678, a(6) <= 587*A034386(43103)/2310 - 455704 (using data from Nicely). - Chai Wah Wu, Jun 26 2019
LINKS
Thomas R. Nicely, Some Results of Computational Research in Prime Numbers [Local copy, pdf only] [ See local copy in A007053]
EXAMPLE
The primes following those shown are 3, 127, 370373, 1693182318747503. - Michel Marcus, Jan 29 2016
PROG
(PARI) a(n) = {my(p = 2); while (nextprime(p+1) - p < 10^n, p = nextprime(p+1)); p; } \\ Michel Marcus, Jan 29 2016
CROSSREFS
Sequence in context: A142112 A285145 A278925 * A217088 A034312 A224871
KEYWORD
nonn,hard,more
AUTHOR
Jeff Burch, Apr 02 2000
EXTENSIONS
Definition clarified by Michel Marcus, Jan 29 2016
Definition clarified by Chai Wah Wu, Jun 26 2019
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)