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Fermat's little theorem and Prime number

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fermat's little theorem and Prime number

Fermat's little theorem vs. Prime number

Fermat's little theorem states that if is a prime number, then for any integer, the number is an integer multiple of. A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Similarities between Fermat's little theorem and Prime number

Fermat's little theorem and Prime number have 18 things in common (in Unionpedia): Cambridge University Press, Coprime integers, Euler's totient function, Fermat's Last Theorem, Finite field, Gottfried Wilhelm Leibniz, Lagrange's theorem (group theory), Leonhard Euler, Lucas–Lehmer primality test, Miller–Rabin primality test, Modular arithmetic, Modular exponentiation, Number theory, Pierre de Fermat, Primality test, Pseudoprime, Public-key cryptography, RSA (cryptosystem).

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

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Euler's totient function

In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.

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Fermat's Last Theorem

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2.

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Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

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Gottfried Wilhelm Leibniz

Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.

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Lagrange's theorem (group theory)

Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G. The theorem is named after Joseph-Louis Lagrange.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Lucas–Lehmer primality test

In mathematics, the Lucas–Lehmer test (LLT) is a primality test for Mersenne numbers.

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Miller–Rabin primality test

The Miller–Rabin primality test or Rabin–Miller primality test is a primality test: an algorithm which determines whether a given number is prime, similar to the Fermat primality test and the Solovay–Strassen primality test.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

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Modular exponentiation

Modular exponentiation is a type of exponentiation performed over a modulus.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Pierre de Fermat

Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.

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Primality test

A primality test is an algorithm for determining whether an input number is prime.

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Pseudoprime

A pseudoprime is a probable prime (an integer that shares a property common to all prime numbers) that is not actually prime.

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Public-key cryptography

Public-key cryptography, or asymmetric cryptography, is any cryptographic system that uses pairs of keys: public keys which may be disseminated widely, and private keys which are known only to the owner.

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RSA (cryptosystem)

RSA (Rivest–Shamir–Adleman) is one of the first public-key cryptosystems and is widely used for secure data transmission.

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The list above answers the following questions

Fermat's little theorem and Prime number Comparison

Fermat's little theorem has 41 relations, while Prime number has 340. As they have in common 18, the Jaccard index is 4.72% = 18 / (41 + 340).

References

This article shows the relationship between Fermat's little theorem and Prime number. To access each article from which the information was extracted, please visit:

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