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A072098 Difference between 10^n and the next prime > 10^n is a record high. 0
1, 3, 7, 12, 16, 21, 28, 62, 97, 118, 122, 135, 164, 218, 333, 346, 387, 443, 485, 521, 630, 819 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..22.

EXAMPLE

For a(22)=819 the difference is 10443 and no other n <= 827 exceeds that difference.

MATHEMATICA

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; d = 0; k = 1; Do[ While[f = NextPrim[10^k] - 10^k; d >= f, k++ ]; d = f; Print[k], {n, 1, 50}]

CROSSREFS

Cf. A038805.

Sequence in context: A286923 A184917 A084582 * A184930 A310244 A310245

Adjacent sequences:  A072095 A072096 A072097 * A072099 A072100 A072101

KEYWORD

hard,nonn

AUTHOR

Robert G. Wilson v, Jun 18 2002

STATUS

approved

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Last modified October 22 18:55 EDT 2018. Contains 316500 sequences. (Running on oeis4.)