OFFSET
5,1
COMMENTS
Cramer's conjecture is true if, for every n >= 5, a(n) is smaller than 10.
If Cramer's conjecture is true, then Andrica's conjecture is true. [John W. Nicholson, Feb 06 2012]
Some mathematicians are trying to prove: if Andrica's conjecture is true, then Cramer's conjecture is true. [Arkadiusz Wesolowski, Feb 22 2012]
LINKS
Arkadiusz Wesolowski, Table of n, a(n) for n = 5..10000
Carlos Rivera, Conjecture 7. The Cramer's Conjecture, The Prime Puzzles and Problems Connection.
Eric Weisstein's World of Mathematics, Cramer Conjecture
EXAMPLE
a(9) = 6 because 10*(29-23)/log(23)^2 = 6.1029419977....
MATHEMATICA
Table[Floor[10*(Prime[n + 1] - Prime[n])/Log[Prime[n]]^2], {n, 5, 100}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Arkadiusz Wesolowski, Nov 18 2011
STATUS
approved