A110896 - OEIS

%I #35 Jul 04 2024 03:34:33

%S 27,512,7378,96810,1194980,14186154,163938810,1858650070,20763688746,

%T 229296037134,2508629501894,27235496973316,293784284670498,

%U 3151605249578196,33649122286540910,357782405858669892,3790389667563960340,40026493653364473662,421463674881774896218

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

%H Amiram Eldar, <a href="/A110896/b110896.txt">Table of n, a(n) for n = 1..24</a>

%F 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

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

%t Table[Prime[10^n] - Prime[10^(n - 1)], {n, 1, 12}] (* _Marvin Ray Burns_, Dec 09 2007 *)

%t Differences[Table[Prime[10^n],{n,0,12}]] (* _Harvey P. Dale_, Jul 03 2017 *)

%o (PARI) a(n) = prime(10^n) - prime(10^(n-1)); \\ _Jinyuan Wang_, Nov 14 2020; adapted to offset by _Georg Fischer_, Jun 22 2022

%o (Python)

%o from sympy import prime

%o def a(n): return prime(10**n)-prime(10**(n-1))

%o print([a(n) for n in range(1, 10)]) # _Michael S. Branicky_, Jun 22 2022

%Y Cf. A000040, A006988, A135371, A135373.

%K nonn

%O 1,1

%A _Cino Hilliard_, Sep 20 2005

%E Corrected and extended by _Marvin Ray Burns_, Dec 09 2007

%E More terms from _Jinyuan Wang_, Nov 14 2020