Fermat number

Results: 108



#Item
31Commutative algebra / Algebraic structures / Prime ideals / Localization / Integral element / Ring / Integral domain / Ideal / Local ring / Abstract algebra / Algebra / Ring theory

Chapter 1 Introduction Techniques of abstract algebra have been applied to problems in number theory for a long time, notably in the effort to prove Fermat’s last theorem. As an introductory example, we will sketch a

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Source URL: www.math.uiuc.edu

Language: English - Date: 2008-08-05 22:17:48
32Alexander Grothendieck / Representation theory / Geometry / Number theory / Pierre de Fermat / Field / Book:Algebraic Mathematics and Logics / Mathematics / Algebra / Algebraic geometry

Microsoft Word - ALGANTMaster_Milan_Leaflet

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Source URL: www.unimi.it

Language: English - Date: 2014-07-27 19:08:04
33Group theory / Euclidean plane geometry / Fermat number / Number theory / Coset enumeration / Prime number / Mathematics / Abstract algebra / Integer sequences

The F a,b,c conjecture is true Edmund F Robertson University of St Andrews Groups in Galway 19 May 2007

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Source URL: turnbull.mcs.st-and.ac.uk

Language: English - Date: 2007-05-09 05:58:08
34Integer sequences / Modular arithmetic / Fermat number / Carmichael number / Prime number / Coprime / Lucas pseudoprime / Strong pseudoprime / Mathematics / Number theory / Pseudoprimes

Carmichael numbers and pseudoprimes Notes by G.J.O. Jameson Introduction Recall that Fermat’s “little theorem” says that if p is prime and a is not a multiple of p, then ap−1 ≡ 1 mod p.

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Source URL: www.maths.lancs.ac.uk

Language: English - Date: 2010-06-11 07:53:10
35Numbers / Prime number / Coprime / Fermat number / Mathematics / Number theory / Integer sequences

THEOREMS OF RELATIVE PRIMES NUMBERS. Remark: In this work it is spoken only about the natural numbers. Theorem 1. If the numbers n and m are relative primes (n,m) = 1, then the numbers n m

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Source URL: logman-logman.narod.ru

Language: English - Date: 2013-04-02 19:16:10
36Integer sequences / Analytic number theory / Prime number / Coprime / Fermat number / Wieferich prime / Mathematics / Number theory / Numbers

Theorems of the relative primes Remark: In this article it is spoken only about the natural numbers. M! – M is factorial. Theorem 1. The prime divisor of the numbers (2n - 1), where n is simple, has the following aspec

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Source URL: logman-logman.narod.ru

Language: English - Date: 2013-04-02 19:16:10
37Integer sequences / Integer factorization algorithms / Euclidean plane geometry / Fermat number / Number theory / Pierre de Fermat / Lenstra elliptic curve factorization / Integer factorization / Richard P. Brent / Mathematics / Abstract algebra / Group theory

THREE NEW FACTORS OF FERMAT NUMBERS R. P. BRENT, R. E. CRANDALL, K. DILCHER, AND C. VAN HALEWYN Abstract We report the discovery of a new factor for each of the Fermat numbers F13 , F15 , F16 . These new factors have 27,

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Source URL: gan.anu.edu.au

Language: English - Date: 2003-11-05 11:07:22
38Prime number / Factorial / Mersenne prime / 3 / Fermat number / Mathematics / Integer sequences / Bernoulli number

Priestley Stairs Steps[removed]The international telephone code for Australia is +61. The Taylor series expansion of the tangent function about the origin begins 1 2

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Source URL: www.smp.uq.edu.au

Language: English - Date: 2010-06-27 23:16:22
39Algebraic number theory / Algebraic number field / Ideal class group / Root of unity / Frobenius endomorphism / Cyclotomic field / Dirichlet L-function / Bernoulli number / Prime number / Abstract algebra / Mathematics / Algebra

A Study of Kummer’s Proof of Fermat’s Last Theorem for Regular Primes MANJIL P. SAIKIA1 MATS137 Summer Project under Prof. Kapil Hari Paranjape. Abstract. We study Kummer’s approach towards proving the Fermat’s l

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Source URL: www.manjilsaikia.in

Language: English - Date: 2013-04-01 06:22:17
40Algebraic number theory / Modular arithmetic / Quadratic residue / Mental calculators / Disquisitiones Arithmeticae / Quadratic reciprocity / Reciprocity law / Legendre symbol / Class field theory / Mathematics / Abstract algebra / Number theory

RECIPROCITY LAWS. FROM EULER TO EISENSTEIN REVIEWER P. SHIU Fermat found that primes p ≡ 1 (mod 4) are sums of two squares, and Euler went on to investigate the representation of primes using more general quadratic for

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Source URL: www.rzuser.uni-heidelberg.de

Language: English - Date: 2002-11-03 20:34:30
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