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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

Table of n, a(n) for n=0..3.

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

Cf. A002386, A034386.

Sequence in context: A142112 A285145 A278925 * A217088 A034312 A224871

Adjacent sequences:  A053973 A053974 A053975 * A053977 A053978 A053979

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 May 22 10:56 EDT 2022. Contains 353949 sequences. (Running on oeis4.)