login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098974 Primes p such that q-p = 24, where q is the next prime after p. 8

%I #16 Mar 13 2020 13:01:08

%S 1669,2179,4177,4523,4759,5237,6173,6397,6737,7079,7369,7793,8123,

%T 8329,9067,11003,11633,11839,12073,12119,13009,13267,16033,16193,

%U 16453,16763,16787,17053,17683,17989,18593,18637,19183,19507,20483,22409,22877,23227

%N Primes p such that q-p = 24, where q is the next prime after p.

%C Lower prime of a difference of 24 between consecutive primes.

%C 23 successive numbers after prime number p are composite. - _Artur Jasinski_, Jan 15 2007

%H Remi Eismann, <a href="/A098974/b098974.txt">Table of n, a(n) for n = 1..10000</a>

%H K. Soundararajan, <a href="https://doi.org/10.1090/S0273-0979-06-01142-6">Small gaps between prime numbers: the work of Goldston-Pintz-Yildirim</a>, Bull. Amer. Math. Soc., 44 (2007), 1-18.

%H <a href="/index/Pri#gaps">Index entries for primes, gaps between</a>

%t a = {}; Do[If[Prime[x + 1] - Prime[x] == 24, AppendTo[a, Prime[x]]], {x, 1, 10000}]; a (* _Artur Jasinski_, Jan 15 2007 *)

%Y Cf. A000040, A001223, A054541, A075526, A001359, A054799, A063091, A096292, A015913, A023200, A029710, A031934, A031936, A031938.

%Y Cf. A000230, A023200, A031924, A031926, A031928, A031930, A031932, A061779.

%K nonn,easy

%O 1,1

%A Douglas Winston (douglas.winston(AT)srupc.com), Oct 23 2004

%E Entry revised by _N. J. A. Sloane_, Feb 13 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 30 12:31 EDT 2024. Contains 372134 sequences. (Running on oeis4.)