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List of prime numbers and Mersenne prime

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

Difference between List of prime numbers and Mersenne prime

List of prime numbers vs. Mersenne prime

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. In mathematics, a Mersenne prime is a prime number that is one less than a power of two.

Similarities between List of prime numbers and Mersenne prime

List of prime numbers and Mersenne prime have 22 things in common (in Unionpedia): Brady Haran, Composite number, Cullen number, Eisenstein integer, Euclid's theorem, Fermat number, Integer, Largest known prime number, Modular arithmetic, On-Line Encyclopedia of Integer Sequences, Prime number, Probable prime, Proth number, Repunit, Solinas prime, Sophie Germain prime, Wagstaff prime, Wieferich prime, Woodall number, 127 (number), 2,147,483,647, 31 (number).

Brady Haran

Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.

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Composite number

A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.

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Cullen number

In mathematics, a Cullen number is a natural number of the form n \cdot 2^n + 1 (written C_n).

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Eisenstein integer

In mathematics, Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are complex numbers of the form where and are integers and is a primitive (hence non-real) cube root of unity.

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Euclid's theorem

Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers.

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Fermat number

In mathematics a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form where n is a nonnegative integer.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Largest known prime number

The largest known prime number is 277,232,917 − 1, a number with 23,249,425 digits.

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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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On-Line Encyclopedia of Integer Sequences

The On-Line Encyclopedia of Integer Sequences (OEIS), also cited simply as Sloane's, is an online database of integer sequences.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Probable prime

In number theory, a probable prime (PRP) is an integer that satisfies a specific condition that is satisfied by all prime numbers, but which is not satisfied by most composite numbers.

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Proth number

In number theory, a Proth number, named after the mathematician François Proth, is a number of the form where k is an odd positive integer and n is a positive integer such that 2^n > k. Without the latter condition, all odd integers greater than 1 would be Proth numbers.

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Repunit

In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit.

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Solinas prime

In mathematics, a Solinas prime, or generalized mersenne prime, is a prime number that has the form f(2^m), where f(x) is a low-degree polynomial with small integer coefficients.

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Sophie Germain prime

In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime.

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Wagstaff prime

In number theory, a Wagstaff prime is a prime number p of the form where q is an odd prime.

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Wieferich prime

In number theory, a Wieferich prime is a prime number p such that p2 divides, therefore connecting these primes with Fermat's little theorem, which states that every odd prime p divides.

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Woodall number

In number theory, a Woodall number (Wn) is any natural number of the form for some natural number n. The first few Woodall numbers are.

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127 (number)

127 (one hundred twenty-seven) is the natural number following 126 and preceding 128.

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2,147,483,647

The number 2,147,483,647 is the eighth Mersenne prime, equal to 231 − 1.

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31 (number)

31 (thirty-one) is the natural number following 30 and preceding 32.

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The list above answers the following questions

List of prime numbers and Mersenne prime Comparison

List of prime numbers has 240 relations, while Mersenne prime has 164. As they have in common 22, the Jaccard index is 5.45% = 22 / (240 + 164).

References

This article shows the relationship between List of prime numbers and Mersenne prime. To access each article from which the information was extracted, please visit:

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