OFFSET
2,1
COMMENTS
Conjecture. In the supposition that there are infinitely many twin primes, every term beginning with the 12th is 2 or in A001359 (lesser of twin primes).
LINKS
Alois P. Heinz, Table of n, a(n) for n = 2..100
FORMULA
lim a(n) = infinity, as n goes to infinity.
EXAMPLE
Let n=19, and consider intervals of the form (19*prime(m), 19*prime(m+1)). For 2, 3, 5, ..., the intervals (38,57), (57,95), (95,133), (133,209), (209,247), (247,323), (323,361)... contain 4, 8, 8, 14, 7, 13, 6,... primes. Hence the smallest such prime is 17.
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev and Peter J. C. Moses, Jan 07 2013
STATUS
approved