OFFSET
1,2
COMMENTS
Does 2 occur infinitely many times? If so, does every even positive integer occur infinitely many times? More generally, suppose that p < q are primes, and let p(1) = p, p(2) = q, and, for n > 2, let p(n) = least prime h such that h - p(n-1) > p(n-1) - p(n-2). Does every even positive integer occur infinitely many times in the second difference sequence of (p(n))?
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..10000
EXAMPLE
A070865 = (2,3,5,11,19,29,41,59,79,...)
1st differences: 1,2,6,8,10,12,18,20,...
2nd differences: 1,4,2,2,2,6,2,...
MATHEMATICA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 14 2015
STATUS
approved