OFFSET
1,1
COMMENTS
If x is a prime and 2*x-y, 2*x+y, 2*x+z and 2*x+32-z are consecutive primes where 0 < y < z < 16, then 2*x-y is a term. Thus Dickson's conjecture implies there are infinitely many terms.
LINKS
Robert Israel, Table of n, a(n) for n = 1..10000
EXAMPLE
MAPLE
q:= 2: r:= 3: s:= 5:
R:= NULL: count:= 0:
while count < 50 do
p:= q; q:= r; r:= s; s:= nextprime(s);
a:= add(t[1]*t[2], t = ifactors(p+q)[2]);
if (p+q+r+s) mod a = 0 then count:= count+1; R:= R, p fi
od:
R;
CROSSREFS
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Mar 17 2022
STATUS
approved