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!)
A103959 Minimum prime p such that prime(n)*p - 2 is prime. 2

%I #7 Apr 18 2013 16:56:44

%S 2,3,3,3,3,3,5,7,3,11,13,3,11,3,3,3,5,3,3,3,7,19,11,5,7,5,3,23,7,3,3,

%T 5,3,7,5,31,7,3,3,5,17,3,3,3,5,19,3,7,29,7,5,5,61,3,3,3,11,3,3,11,7,3,

%U 3,5,3,5,3,3,3,7,11,11,19,3,61,5,29,7,3,7,17

%N Minimum prime p such that prime(n)*p - 2 is prime.

%C Conjecture: a(n) <= prime(n). Tested to n=10000.

%H T. D. Noe, <a href="/A103959/b103959.txt">Table of n, a(n) for n = 1..10000</a>

%e Prime(1)*2-2=2 is prime, so a(1)=2;

%e Prime(2)*3-2=7 is prime, so a(2)=3;

%t Table[p=Prime[n]; k=1; pk=Prime[k]; cp=p*pk-2; While[ !PrimeQ[cp], k=k+1; pk=Prime[k]; cp=p*pk-2]; pk, {n, 100}]

%K easy,nonn

%O 1,1

%A _Lei Zhou_, Feb 22 2005

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 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)