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!)
A277124 Numbers k such that (k+1)*prime(k) + k is a prime. 1

%I #26 Jan 16 2023 06:12:26

%S 1,2,3,5,6,8,9,11,13,14,20,21,26,29,30,33,35,36,39,41,43,49,54,55,62,

%T 68,69,75,76,79,81,89,90,105,110,113,117,119,126,134,141,146,154,162,

%U 174,176,178,179,186,191,195,207,209,215,216,222,225,227,230,231,234,237

%N Numbers k such that (k+1)*prime(k) + k is a prime.

%H Robert Israel, <a href="/A277124/b277124.txt">Table of n, a(n) for n = 1..10000</a>

%p p:= 1: count:= 0: Res:= NULL:

%p for n from 1 while count < 100 do

%p p:= nextprime(p);

%p if isprime(n*p+n+p) then

%p count:= count+1; Res:= Res, n

%p fi

%p od:

%p Res; # _Robert Israel_, Oct 25 2018

%t npQ[n_]:=Module[{p=Prime[n]},PrimeQ[n*p+n+p]]; Select[Range[250],npQ] (* _Harvey P. Dale_, Mar 27 2022 *)

%o (PARI) is(n) = isprime((n + 1) * (prime(n) + 1) - 1); \\ _Altug Alkan_, Oct 01 2016

%Y Cf. A000040, A086172.

%K nonn

%O 1,2

%A _Alex Ratushnyak_, Sep 30 2016

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 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)