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Prime number conjectures
Hardy–Littlewood
1st
2nd
Agoh–Giuga
Andrica's
Artin's
Bateman–Horn
Brocard's
Bunyakovsky
Chinese hypothesis
Cramér's (Shanks')
Dickson's
Elliott–Halberstam
Firoozbakht's (Forgues', Nicholson's, Farhadian's)
Gilbreath's
Grimm's
Landau's problems
Goldbach's
weak
Legendre's
Twin prime
Legendre's constant
Lemoine's
Mersenne
Oppermann's
Polignac's
Pólya
Schinzel's hypothesis H
Waring's prime number
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t
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Disproved
conjectures
Borsuk's
Bunkbed
Chinese hypothesis
Connes
Euler's sum of powers
Ganea
Hedetniemi's
Hauptvermutung
Hirsch
Kalman's
Keller's
Mertens
Ono's inequality
Pólya
Ragsdale
Schoen–Yau
Seifert
Tait's
Von Neumann
Weyl–Berry
Williamson
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Marin Mersenne
Mersenne conjectures
Mersenne's laws
Mersenne prime
Double Mersenne number
Great Internet Mersenne Prime Search
List
Mersenne Twister