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A096870 Difference between the n-th repunit and the previous prime. 4
4, 2, 2, 18, 2, 20, 10, 2, 14, 52, 8, 18, 58, 58, 72, 4, 20, 74, 84, 58, 14, 18, 82, 168, 28, 50, 168, 84, 8, 138, 112, 82, 2, 28, 2, 62, 34, 50, 74, 24, 8, 54, 204, 22, 428, 40, 118, 200, 72, 40, 30, 42, 284, 44, 114, 268, 80, 18, 4, 74, 142, 182, 140, 112, 214, 152, 90 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Robert Israel, Table of n, a(n) for n = 2..1000

FORMULA

a(n) = A002275(n) - A096498(n) = A096499(n) - A096869(n).

MAPLE

f:= proc(n) local r; r:= (10^n-1)/9; r - prevprime(r) end proc:

map(f, [$2..100]); # Robert Israel, Feb 23 2017

MATHEMATICA

PrevPrim[n_] := Block[{k = n - 1}, While[ !PrimeQ[k], k-- ]; k]; Table[(10^n - 1)/9 - PrevPrim[(10^n - 1)/9], {n, 2, 70}]

Table[With[{ru=(10^n-1)/9}, ru-NextPrime[ru, -1]], {n, 2, 70}] (* Harvey P. Dale, Aug 14 2011 *)

CROSSREFS

Cf. A096869.

Sequence in context: A136202 A075418 A199221 * A261253 A134977 A199081

Adjacent sequences:  A096867 A096868 A096869 * A096871 A096872 A096873

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jul 12 2004

STATUS

approved

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Last modified July 17 14:44 EDT 2019. Contains 325106 sequences. (Running on oeis4.)