In number theory, Brocard's conjecture is the conjecture that there are at least four prime numbers between (pn)2 and (pn+1)2, where pn is the nth prime...

closely related to but stronger than Legendre's conjecture, Andrica's conjecture, and Brocard's conjecture. It is named after Danish mathematician Ludvig...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

7 {\displaystyle n=4,5,7} ? (more unsolved problems in mathematics) Brocard's problem is a problem in mathematics that seeks integer values of n {\displaystyle...

of Keisler's order. Ibragimov–Iosifescu conjecture for φ-mixing sequences Beilinson's conjectures Brocard's problem: are there any integer solutions...

Andrica's conjecture and Brocard's conjecture on the existence of primes between squares of consecutive primes, and Cramér's conjecture that the gaps...

. {\displaystyle 2k.} Andrica's conjecture, Brocard's conjecture, Legendre's conjecture, and Oppermann's conjecture all suggest that the largest gaps...

As 5 ! + 1 = 121 {\displaystyle 5!+1=121} , it provides a solution to Brocard's problem. There are only two other squares known to be of the form n !...

papers on meteorology. Brocard's conjecture O'Connor, John J.; Robertson, Edmund F., "Pierre René Jean Baptiste Henri Brocard", MacTutor History of Mathematics...

including Roth's theorem, the Mordell conjecture, the Fermat–Catalan conjecture, and Brocard's problem. The conjecture states that: given ε > 0, there exists...