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
Keywords
Examples
The (10^1)th prime is 29. The (10^0)th prime is 2 and the difference is 27 the first entry.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..24
Programs
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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 *) -
PARI
a(n) = prime(10^n) - prime(10^(n-1)); \\ Jinyuan Wang, Nov 14 2020; adapted to offset by Georg Fischer, Jun 22 2022
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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
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
Extensions
Corrected and extended by Marvin Ray Burns, Dec 09 2007
More terms from Jinyuan Wang, Nov 14 2020