PropertyValue
rdfs:label
  • 8191
rdfs:comment
  • \(8191=2^{13}-1\) is the smallest Mersenne prime which is not an exponent of another Mersenne prime. It is also the largest known number which is a repunit with at least three digits in more than one base. The Goormaghtigh conjecture states that 31 and 8191 are the only two numbers with this property.
dcterms:subject
dbkwik:googology/property/wikiPageUsesTemplate
dbkwik:numbers/property/wikiPageUsesTemplate
abstract
  • \(8191=2^{13}-1\) is the smallest Mersenne prime which is not an exponent of another Mersenne prime. It is also the largest known number which is a repunit with at least three digits in more than one base. The Goormaghtigh conjecture states that 31 and 8191 are the only two numbers with this property.