A096870 -id:A096870 - cp's OEIS frontend

A096498 Prime before n-th repunit.

7, 109, 1109, 11093, 111109, 1111091, 11111101, 111111109, 1111111097, 11111111059, 111111111103, 1111111111093, 11111111111053, 111111111111053, 1111111111111039, 11111111111111107, 111111111111111091, 1111111111111111037, 11111111111111111027, 111111111111111111053, 1111111111111111111097

Offset: 2

Labos Elemer, Jul 09 2004

nonn

Robert Israel, Table of n, a(n) for n = 2..999

Cf. A068693, A002275, A096497.

seq(prevprime((10^n-1)/9), n=2..50); # Robert Israel, Nov 13 2017

Table[NextPrime[(10^n - 1)/9, -1], {n, 2, 22}] (* updated by Michael De Vlieger, May 02 2016 *)

a(n) = precprime((10^n-1)/9 - 1); \\ Michel Marcus, May 02 2016

a(n) = A002275(n) - A096870(n) = A096497(n) - A096499(n).

A096499 Difference between prime following and prime preceding n-th repunit.

Original entry on oeis.org

6, 4, 8, 20, 10, 60, 16, 4, 24, 54, 46, 46, 70, 176, 84, 12, 40, 134, 104, 104, 92, 24, 84, 270, 300, 130, 414, 90, 88, 240, 148, 198, 12, 64, 12, 300, 66, 70, 80, 102, 420, 142, 630, 140, 600, 88, 176, 312, 80, 96, 460, 132, 420, 284, 144, 408, 312, 180, 44, 300

Offset: 2

Labos Elemer, Jul 09 2004

nonn

			n=2: 2nd repunit=11, 13-7=6=a[2].

Cf. A068693, A002275, A096497, A096498.

Mathematica
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<Harvey P. Dale, Sep 06 2015 *)
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a(n) = A096497(n) - A096498(n) = A096869(n) + A096870(n).

A096869 Difference between the n-th repunit and the next prime.

Original entry on oeis.org

1, 2, 2, 6, 2, 8, 40, 6, 2, 10, 2, 38, 28, 12, 118, 12, 8, 20, 60, 20, 46, 78, 6, 2, 102, 272, 80, 246, 6, 80, 102, 36, 116, 10, 36, 10, 238, 32, 20, 6, 78, 412, 88, 426, 118, 172, 48, 58, 112, 8, 56, 430, 90, 136, 240, 30, 140, 232, 162, 40, 226, 48, 116, 60, 690, 146, 210

Offset: 1

Robert G. Wilson v, Jul 12 2004

nonn

Cf. A096870.

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

a(n) = A096497(n) - A002275(n) = A096499(n) - A096870(n).

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A096498 Prime before n-th repunit.

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A096499 Difference between prime following and prime preceding n-th repunit.

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A096869 Difference between the n-th repunit and the next prime.

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