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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 August 14 19:51 EDT 2024. Contains 375167 sequences. (Running on oeis4.)