N conjecture

In number theory the n conjecture is a conjecture stated by as a generalization of the ''abc'' conjecture to more than three integers. ^[1]

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Table of Contents

1. 4 relations: Abc conjecture, Number theory, Prime number, Radical of an integer.

2. Abc conjecture

Abc conjecture

The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and David Masser in 1985. N conjecture and abc conjecture are conjectures and Unsolved problems in number theory.

See N conjecture and Abc conjecture

Number theory

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.

See N conjecture and Number theory

Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.

See N conjecture and Prime number

Radical of an integer

In number theory, the radical of a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly once as a factor of this product: \displaystyle\mathrm(n). N conjecture and radical of an integer are abc conjecture.

See N conjecture and Radical of an integer

See also

Abc conjecture

• ABC@Home
• Abc conjecture
• Beal conjecture
• Brocard's problem
• Cameron Leigh Stewart
• Catalan's conjecture
• David Masser
• Dorian M. Goldfeld
• Erdős–Ulam problem
• Fermat's Last Theorem
• Fermat–Catalan conjecture
• Field with one element
• Hall's conjecture
• Hodge–Arakelov theory
• Jerzy Browkin
• Joseph Oesterlé
• Mason–Stothers theorem
• N conjecture
• Néron–Tate height
• Nobushige Kurokawa
• Paul Vojta
• Powerful number
• Radical of an integer
• Ribet's theorem
• Siegel zero
• Szpiro's conjecture
• Tijdeman's theorem
• Vojta's conjecture
• Wieferich prime

References

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

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