A038804 Difference between largest n-digit prime and smallest (n+1)-digit prime.

4, 4, 12, 34, 12, 20, 28, 18, 70, 52, 26, 50, 66, 58, 48, 124, 6, 14, 90, 50, 218, 36, 140, 264, 136, 208, 202, 540, 346, 68, 60, 70, 70, 604, 92, 226, 124, 192, 60, 138, 228, 146, 138, 84, 18, 154, 74, 226, 66, 208, 444, 558, 348, 322, 132, 596, 372, 308, 160, 168

Offset

1,1

Comments

Records: 4, 12, 34, 70, 124, 218, 264, 540, 604, 670, 754, 1182, ..., . - Robert G. Wilson v, Jan 23 2020

Links

Giovanni Resta, Table of n, a(n) for n = 1..8000 (terms 1..1000 from Pierre CAMI, terms 1001..4000 from Robert G. Wilson v)

Pierre CAMI, PFGW script

Vasiliy Danilov, Smallest & largest n-digit primes.

Eric Weisstein's World of Mathematics, Next Prime.

Eric Weisstein's World of Mathematics, Previous Prime.

Formula

a(n) = A033873(n) + A033874(n). - Zak Seidov, Sep 13 2016

Example

7 = greatest prime with 1 digit, 11 next smallest prime with 2 digits so a(1)=4.
97 = greatest prime with 2 digits, 101 next smallest prime with 3 digits so a(2)=4.

Mathematica

(NextPrime[#]-NextPrime[#, -1])&/@(10^Range[100])  (* Harvey P. Dale, Mar 23 2011 *)

Crossrefs

Cf. A033873, A033874, A003617, A003618, A058249.

Sequence in context: A106232 A359709 A228612 * A183362 A353615 A088838

Adjacent sequences: A038801 A038802 A038803 * A038805 A038806 A038807

Keyword

nonn,base

Author

Jeff Burch

Extensions

Corrected and edited by Patrick De Geest, Nov 06 2004

Status

approved