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- Fermat_number abstract "In mathematics, a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the formwhere n is a nonnegative integer. The first few Fermat numbers are: 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, … (sequence A000215 in OEIS).If 2n + 1 is prime, and n > 0, it can be shown that n must be a power of two. (If n = ab where 1 ≤ a, b ≤ n and b is odd, then 2n + 1 = (2a)b + 1 ≡ (−1)b + 1 = 0 (mod 2a + 1). See Sec. 5 for complete proof.) In other words, every prime of the form 2n + 1 is a Fermat number, and such primes are called Fermat primes. The only known Fermat primes are F0, F1, F2, F3, and F4 (sequence A019434 in OEIS).".
- Fermat_number wikiPageExternalLink CJM-1963-051-0.
- Fermat_number wikiPageExternalLink s10012-001-0111-4.
- Fermat_number wikiPageExternalLink index.html.
- Fermat_number wikiPageExternalLink page.php?sort=FermatNumber.
- Fermat_number wikiPageExternalLink history.html.
- Fermat_number wikiPageExternalLink yabuta.pdf.
- Fermat_number wikiPageExternalLink groups?selm=1990Jun15.190100.8505%40src.dec.com&oe=UTF-8&output=gplain.
- Fermat_number wikiPageExternalLink american-mathematical-monthly-february-2000.
- Fermat_number wikiPageExternalLink GFN-341112_524288.pdf.
- Fermat_number wikiPageExternalLink fermat.html.
- Fermat_number wikiPageExternalLink 1.
- Fermat_number wikiPageExternalLink fermat6.htm.
- Fermat_number wikiPageExternalLink 978-0-387-20860-2?otherVersion=978-0-387-26677-0.
- Fermat_number wikiPageExternalLink 978-0-387-94457-9.
- Fermat_number wikiPageExternalLink 978-0-387-95332-8.
- Fermat_number wikiPageID "91127".
- Fermat_number wikiPageRevisionID "605921790".
- Fermat_number hasPhotoCollection Fermat_number.
- Fermat_number title "Fermat Number".
- Fermat_number title "Fermat Prime".
- Fermat_number title "Fermat Pseudoprime".
- Fermat_number title "Generalized Fermat Number".
- Fermat_number urlname "FermatNumber".
- Fermat_number urlname "FermatPrime".
- Fermat_number urlname "FermatPseudoprime".
- Fermat_number urlname "GeneralizedFermatNumber".
- Fermat_number subject Category:Articles_containing_proofs.
- Fermat_number subject Category:Classes_of_prime_numbers.
- Fermat_number subject Category:Euclidean_plane_geometry.
- Fermat_number subject Category:Integer_sequences.
- Fermat_number subject Category:Large_integers.
- Fermat_number subject Category:Number_theory.
- Fermat_number subject Category:Unsolved_problems_in_mathematics.
- Fermat_number type Abstraction100002137.
- Fermat_number type Arrangement107938773.
- Fermat_number type Attribute100024264.
- Fermat_number type Class107997703.
- Fermat_number type ClassesOfPrimeNumbers.
- Fermat_number type Collection107951464.
- Fermat_number type Condition113920835.
- Fermat_number type DefiniteQuantity113576101.
- Fermat_number type Difficulty114408086.
- Fermat_number type Group100031264.
- Fermat_number type Integer113728499.
- Fermat_number type IntegerSequences.
- Fermat_number type LargeInteger113745420.
- Fermat_number type LargeIntegers.
- Fermat_number type Measure100033615.
- Fermat_number type Number113582013.
- Fermat_number type Ordering108456993.
- Fermat_number type Problem114410605.
- Fermat_number type Sequence108459252.
- Fermat_number type Series108457976.
- Fermat_number type State100024720.
- Fermat_number type UnsolvedProblemsInMathematics.
- Fermat_number comment "In mathematics, a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the formwhere n is a nonnegative integer. The first few Fermat numbers are: 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, … (sequence A000215 in OEIS).If 2n + 1 is prime, and n > 0, it can be shown that n must be a power of two. (If n = ab where 1 ≤ a, b ≤ n and b is odd, then 2n + 1 = (2a)b + 1 ≡ (−1)b + 1 = 0 (mod 2a + 1). See Sec.".
- Fermat_number label "Fermat number".
- Fermat_number label "Fermat-Zahl".
- Fermat_number label "Fermatgetal".
- Fermat_number label "Liczby Fermata".
- Fermat_number label "Nombre de Fermat".
- Fermat_number label "Numero di Fermat".
- Fermat_number label "Número de Fermat".
- Fermat_number label "Número de Fermat".
- Fermat_number label "Числа Ферма".
- Fermat_number label "عدد فيرما".
- Fermat_number label "フェルマー数".
- Fermat_number label "費馬數".
- Fermat_number sameAs Fermatovo_číslo.
- Fermat_number sameAs Fermat-Zahl.
- Fermat_number sameAs Número_de_Fermat.
- Fermat_number sameAs Nombre_de_Fermat.
- Fermat_number sameAs Numero_di_Fermat.
- Fermat_number sameAs フェルマー数.
- Fermat_number sameAs 페르마_수.
- Fermat_number sameAs Fermatgetal.
- Fermat_number sameAs Liczby_Fermata.
- Fermat_number sameAs Número_de_Fermat.
- Fermat_number sameAs m.0mm8d.
- Fermat_number sameAs Q207264.
- Fermat_number sameAs Q207264.
- Fermat_number sameAs Fermat_number.
- Fermat_number wasDerivedFrom Fermat_number?oldid=605921790.
- Fermat_number isPrimaryTopicOf Fermat_number.