Conjecture (Dorin Andrica). Given the th prime , it is always the case that .
This conjecture remains unproven as of 2007. The conjecture has been checked up to by computers.
The largest known difference of square roots of consecutive primes happens for the small , being approximately 0.67087347929081. The difference of the square roots of the primes and (which cap a prime gap of 4247 consecutive composite numbers discovered in 1992 by Baugh & O’Hara) is a very small number which is obviously much smaller than 1.
- 1 D. Baugh & F. O’Hara, “Large Prime Gaps” J. Recr. Math. 24 (1992): 186 - 187.
|Date of creation||2013-03-22 16:41:22|
|Last modified on||2013-03-22 16:41:22|
|Last modified by||PrimeFan (13766)|