theory. His 1798 conjecture of the prime number theorem was rigorously proved by Hadamard and de la Vallée-Poussin in 1896. Legendre did an impressive...

The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and...

conjecture: Are there infinitely many primes p such that p + 2 is prime? Legendre's conjecture: Does there always exist at least one prime between consecutive...

as ln(x) or loge(x). Legendre's constant is a mathematical constant occurring in a formula constructed by Adrien-Marie Legendre to approximate the behavior...

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

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

number theorem Legendre's conjecture and Andrica's conjecture, much weaker but still unproven upper bounds on prime gaps Firoozbakht's conjecture Maier's theorem...

depending on the application. 1 is the value of Legendre's constant, introduced in 1808 by Adrien-Marie Legendre to express the asymptotic behavior of the prime-counting...

is the sum of a fixed number of kth powers. 1796 — Adrien-Marie Legendre conjectures the prime number theorem. 1801 — Disquisitiones Arithmeticae, Carl...

greater than 2 {\displaystyle 2} are the sum of two prime numbers. Legendre's conjecture: for every positive integer n {\displaystyle n} , there is a prime...