A096345 - OEIS

%I #13 Oct 10 2023 04:51:38

%S 7,23,59,191,839,1439,1931,5039,8447,11447,23399,26891,36479,41579,

%T 46619,57119,59999,77279,110879,163199,232307,323759,370871,414731,

%U 470579,521267,566999,606791,664199,678971,776159,824459,835379,879839

%N Primes of the form p*q - p - q, where p and q are two successive primes.

%C These primes are not the sum of two squares.

%C The number of terms less than 10^n: 1, 3, 5, 9, 18, 35, 83, 190, 425, 1105, 2962, 7695, 20187, 54280, 147464, 402660, 1116912, ..., . - _Robert G. Wilson v_, Apr 09 2008

%H Robert G. Wilson v, <a href="/A096345/b096345.txt">Table of n, a(n) for n=1..7700</a>

%e a(3)=59 because 7*11 - 7 - 11=59.

%t lst = {}; p = q = 2; Do[p = q; q = NextPrime@q; r = p*q - p - q; If[ PrimeQ@r, AppendTo[lst, r]], {n, 2^31 - 1}]; lst {* _Robert G. Wilson v_, Apr 09 2008 *}

%Y Primes in A037165.

%K nonn

%O 1,1

%A _Giovanni Teofilatto_, Jun 29 2004

%E More terms from _Robert G. Wilson v_, Jul 01 2004