A110896 Difference between prime(10^n) and prime(10^(n-1)).

27, 512, 7378, 96810, 1194980, 14186154, 163938810, 1858650070, 20763688746, 229296037134, 2508629501894, 27235496973316, 293784284670498, 3151605249578196, 33649122286540910, 357782405858669892, 3790389667563960340, 40026493653364473662, 421463674881774896218

Offset

1,1

Links

Table of n, a(n) for n=1..19.

Formula

a(n) = A006988(n) - A006988(n-1) = prime(10^n) - prime(10^(n-1)). - Marvin Ray Burns, Dec 09 2007; corrected by Michel Marcus, Jun 22 2022

Example

The (10^1)th prime is 29. The (10^0)th prime is 2 and the difference is 27 the first entry.

Mathematica

Table[Prime[10^n] - Prime[10^(n - 1)], {n, 1, 12}] (* Marvin Ray Burns, Dec 09 2007 *)
Differences[Table[Prime[10^n], {n, 0, 12}]] (* Harvey P. Dale, Jul 03 2017 *)

Prog

(PARI) a(n) = prime(10^n) - prime(10^(n-1)); \\ Jinyuan Wang, Nov 14 2020; adapted to offset by Georg Fischer, Jun 22 2022
(Python)
from sympy import prime
def a(n): return prime(10**n)-prime(10**(n-1))
print([a(n) for n in range(1, 10)]) # Michael S. Branicky, Jun 22 2022

Crossrefs

Cf. A000040, A006988, A135371, A135373.

Sequence in context: A019752 A001709 A016887 * A215039 A014928 A163199

Adjacent sequences: A110893 A110894 A110895 * A110897 A110898 A110899

Keyword

nonn

Author

Cino Hilliard, Sep 20 2005

Extensions

Corrected and extended by Marvin Ray Burns, Dec 09 2007

More terms from Jinyuan Wang, Nov 14 2020

Status

approved