See Fermat prime on Wiktionary
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"text": "It is not hard to prove that the only way that the number 1#x2B;2ᵉ can possibly be prime is when e is a power of 2, and so all Fermat primes must have the form 1#x2B;2#x7B;2ᵃ#x7D; for integers a#x5C;ge 0. The numbers F#x5F;a#x3D;1#x2B;2#x7B;2ᵃ#x7D; are called Fermat numbers, and although it is true that every Fermat prime is a Fermat number, it is certainly not true that every Fermat number is prime.",
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"ref": "2013, Dean Hathout, Wearing Gauss’s Jersey, Taylor & Francis (CRC Press), page xi, Believe it or not, so far only five Fermat primes are known",
"text": "F₀ = 3, F₁ = 5, F₂ = 17, F₃ = 257, and F₄ = 65537.\nThe next 28 Fermat numbers, F₅ through F₃₂, are known to be composite."
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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