Vandiver's Criteria
Let 
be an Irregular Prime, and let 
be a Prime with 
. Also let 
be an Integer suchthat 
(mod 
). For an Irregular Pair 
, form the product
where
 |  |  | |
 | |  |
If
(mod ) for all such Irregular Pairs, then Fermat'sLast Theorem holds for exponent .See also Fermat's Last Theorem, Irregular Pair, Irregular Prime
References
Johnson, W. ``Irregular Primes and Cyclotomic Invariants.'' Math. Comput. 29, 113-120, 1975.
- Osculating Plane
- Osculating Sphere
- Osedelec Theorem
- Ostrowski's Inequality
- Ostrowski's Theorem
- Otter's Tree Enumeration Constants
- Outdegree
- Outer Automorphism Group
- Outer Product
- Oval
- Oval of Descartes
- Ovals of Cassini
- Overlapping Resonance Method
- Oversampling
- Ovoid
- Paasche's Index
- Packing
- Packing Density
- p-adic Number
- Padovan Sequence
- Padé Approximant
- Padé Conjecture
- Painlevé Property
- Painlevé Transcendents
- Pair