Mersenne prime and Power of two

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Difference between Mersenne prime and Power of two

Mersenne prime vs. Power of two

In mathematics, a Mersenne prime is a prime number that is one less than a 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.

Base (exponentiation)

In exponentiation, the base is the number b in an expression of the form bn.

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Exponentiation

Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.

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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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Integer (computer science)

In computer science, an integer is a datum of integral data type, a data type that represents some range of mathematical integers.

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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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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Multiplicative order

In number theory, given an integer a and a positive integer n with gcd(a,n).

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Perfect number

In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum).

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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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Signed number representations

In computing, signed number representations are required to encode negative numbers in binary number systems.

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Signedness

In computing, signedness is a property of data types representing numbers in computer programs.

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Two's complement

Two's complement is a mathematical operation on binary numbers, best known for its role in computing as a method of signed number representation.

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Wheat and chessboard problem

The wheat and chessboard problem (sometimes expressed in terms of rice grains) is a mathematical problem expressed in textual form as: The problem may be solved using simple addition.

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31 (number)

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

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