OFFSET
1,1
COMMENTS
Inspired by the fact that 294911/235927 = 1.2500095368..., two primes together with 2^16 form a primitive weird number (A002975(9729)).
p/q ->
0.3516835469078526298668938767771073728
...
Each pair of initial primes, p & q, will yield a different ratio.
LINKS
Robert G. Wilson v, Table of n, a(n) for n = 1..1620
EXAMPLE
2/3 is 0.666... is a new low or minimum;
3/5 is 0.600... is a new minimum;
5/11 is 0.454... is a new minimum;
11/29 is 0.379... is a new minimum;
29/79 is 0.367... is a new minimum;
... 6056794796849/17222286484817 is 0.351... is a new minimum; etc.
MATHEMATICA
f[lst_List] := Block[{p = lst[[-2]], q = lst[[-1]]}, Append[lst, NextPrime[q^2/p]]]; Nest[f, {2, 3}, 29]
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Dec 08 2015
STATUS
approved