The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A338578 Primes p such that (r-p)*(r-q) > r, where q and r are the next two primes. 2

%I #6 Nov 03 2020 16:11:22

%S 2,3,5,11,17,19,29,43,47,83,109,199,283

%N Primes p such that (r-p)*(r-q) > r, where q and r are the next two primes.

%C a(14) > 10^8 if it exists.

%e a(5)=17 is a member because it is prime, the next two primes are 19 and 23, and (23-17)*(23-19)=24 > 23.

%p p:= 0: q:=2:r:= 3: R:= NULL:

%p while p < 10^4 do

%p p:= q: q:= r: r:= nextprime(r);

%p if (r-q)*(r-p) > r then R:= R, p; fi

%p od:

%p R;

%Y Contains A338566.

%Y Cf. A013632, A105161, A338577.

%K nonn,more

%O 1,1

%A _Robert Israel_, Nov 03 2020

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 May 18 02:01 EDT 2024. Contains 372615 sequences. (Running on oeis4.)