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portada Ppin''s Test
Type
Physical Book
Publisher
Language
English
Format
Paperback
Dimensions
22x15 cm
ISBN13
9786131302244

Ppin''s Test

New Book Imported to Netherlands
Delivery: 02 Oct - 06 Oct Shipping: 14 to 15 business days.
€ 162,73
Import costs and 9% BTW included in the price ✅
€ 162,73

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Synopsis "Ppin''s Test"

In mathematics, Ppin''s test is a primality test, which can be used to determine whether a Fermat number is prime. It is a variant of Proth''s test. The test is named for a French mathematician, Thophile Ppin. Let F_n=2^{2^n}+1 be the nth Fermat number. Ppin''s test states that for n > 0, Fn is prime if and only if 3^{(F_n-1)/2}equiv-1pmod{F_n}. The expression, 3^{(F_n-1)/2} can be evaluated modulo Fn by repeated squaring. This makes the test a fast polynomial-time algorithm. However, Fermat numbers grow so rapidly that only a handful of Fermat numbers can be tested in a reasonable amount of time and space. Other bases may be used in place of 3, for example 5, 6, 7, or 10 (sequence A129802 in OEIS).

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