conjecture
Artur
grafix at csl.pl
Thu Jan 4 23:54:45 CET 2007
Conjecture 1 (Artur Jasinski):
No existed such number n that number of primes between (n+1)^2 and n^2 is
smaller than
((13Log[80]Log[81])/(6561Log[80]-6400Log[81]))((n + 1))^2/Log[n
+ 1]-n^2/Log[n])))
Comment:
That conjecture is counter conjecture which say that can existed such n
that number of primes between (n+1)^2 and n^2 is 1 or 0.
Only proof existed say that between (n+1)^2 and n^2 occured one or more
semiprime.
If conjecture 1 is true, true is also
between (n+1)^2 and n^2 occured two or more prime
ARTUR JASINSKI
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