mathematics, the Goormaghtigh conjecture is a conjecture in number theory named for the Belgian mathematician René Goormaghtigh. The conjecture is that the...

René Goormaghtigh (13 October 1893, Ostend – 10 February 1960, Ixelles) was a Belgian engineer, after whom the Goormaghtigh Conjecture is named. Goormaghtigh...

base-2) and 8191 (111 in base-90, 1111111111111 in base-2). The Goormaghtigh conjecture says there are only these two cases. Using the pigeon-hole principle...

satisfying 1 / m + 1 / n + 1 / k < 1 {\displaystyle 1/m+1/n+1/k<1} . Goormaghtigh conjecture on solutions to ( x m − 1 ) / ( x − 1 ) = ( y n − 1 ) / ( y − 1...

Feit–Thompson conjecture is very close to 0, suggesting that the Feit–Thompson conjecture is likely to be true. Cyclotomic polynomials Goormaghtigh conjecture Feit...

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

composites and only two primes: 31 and 8191. Indeed, according to Goormaghtigh conjecture, these two primes are the only known solutions of the Diophantine...

left-truncatable primes are known. 90 Nonagesimal[citation needed] Related to Goormaghtigh conjecture for the generalized repunit numbers (111 in base 90 = 1111111111111...