(sequence A005114 in the OEIS) An important conjecture due to Catalan, sometimes called the Catalan–Dickson conjecture, is that every aliquot sequence ends in...

second Hardy–Littlewood conjecture is false. This conjecture has been extended by Dickson's conjecture. Polignac's conjecture from 1849 states that for...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...

In number theory, Polignac's conjecture was made by Alphonse de Polignac in 1849 and states: For any positive even number n, there are infinitely many...

numbers conjecture: Every positive integer is the sum of at most 11 centered nonagonal numbers. This conjecture was confirmed as true in 2023. Dickson, L....

amphithéâtre Marguerite de Navarre) in the Collège de France in Paris. Grigori Perelman, who had begun work on the Poincaré conjecture in the 1990s, released...

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

de l'université de Liège, 1870, 2nd edition 1880 Intégrales eulériennes ou elliptiques, 1892 Catalan pseudoprime Catalan's triangle Catalan–Dickson conjecture...

Mersenne conjecture: some Catalan–Mersenne number is composite and thus all Catalan–Mersenne numbers are composite after some point. Dickson's conjecture: for...

question later became known as Bachet's conjecture, after the 1621 translation of Diophantus by Claude Gaspard Bachet de Méziriac, and it was solved by Joseph-Louis...