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Euclid number

Index Euclid number

In mathematics, Euclid numbers are integers of the form, where pn# is the nth primorial, i.e. the product of the first n prime numbers. [1]

18 relations: Ancient Greek, Euclid, Euclid's theorem, Euclid–Mullin sequence, Integer, Mathematician, Mathematics, Prime number, Primorial, Primorial prime, Square number, Square-free integer, The Mathematical Intelligencer, 209 (number), 211 (number), 3, 31 (number), 7.

Ancient Greek

The Ancient Greek language includes the forms of Greek used in ancient Greece and the ancient world from around the 9th century BC to the 6th century AD.

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Euclid

Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".

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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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Euclid–Mullin sequence

The Euclid–Mullin sequence is an infinite sequence of distinct prime numbers, in which each element is the least prime factor of one plus the product of all earlier elements.

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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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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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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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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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Primorial

In mathematics, and more particularly in number theory, primorial is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, only prime numbers are multiplied.

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Primorial prime

In mathematics, primorial primes are prime numbers of the form pn# ± 1, where pn# is the primorial of pn (the product of the first n primes).

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Square number

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself.

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Square-free integer

In mathematics, a square-free integer is an integer which is divisible by no perfect square other than 1.

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The Mathematical Intelligencer

The Mathematical Intelligencer is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.

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209 (number)

209 (two hundred nine) is the natural number following 208 and preceding 210.

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211 (number)

211 (two hundred eleven) is the natural number between 210 and 212.

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3

3 (three) is a number, numeral, and glyph.

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31 (number)

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

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7

7 (seven) is the natural number following 6 and preceding 8.

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Euclid numbers.

References

[1] https://en.wikipedia.org/wiki/Euclid_number

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