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Mersenne prime and Safe prime

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

Difference between Mersenne prime and Safe prime

Mersenne prime vs. Safe prime

In mathematics, a Mersenne prime is a prime number that is one less than a power of two. A safe prime is a prime number of the form 2p + 1, where p is also a prime.

Similarities between Mersenne prime and Safe prime

Mersenne prime and Safe prime have 8 things in common (in Unionpedia): Arjen Lenstra, Fermat number, Modular arithmetic, Power of two, Prime number, Prime Pages, Quadratic residue, Sophie Germain prime.

Arjen Lenstra

Arjen Klaas Lenstra (born 2 March 1956, Groningen) is a Dutch mathematician.

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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.

Fermat number and Mersenne prime · Fermat number and Safe prime · See more »

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).

Mersenne prime and Modular arithmetic · Modular arithmetic and Safe prime · See more »

Power of two

In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.

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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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Prime Pages

The Prime Pages is a website about prime numbers maintained by Chris Caldwell at the University of Tennessee at Martin.

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Quadratic residue

In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: Otherwise, q is called a quadratic nonresidue modulo n. Originally an abstract mathematical concept from the branch of number theory known as modular arithmetic, quadratic residues are now used in applications ranging from acoustical engineering to cryptography and the factoring of large numbers.

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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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The list above answers the following questions

Mersenne prime and Safe prime Comparison

Mersenne prime has 164 relations, while Safe prime has 40. As they have in common 8, the Jaccard index is 3.92% = 8 / (164 + 40).

References

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

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