Prime numbers

Results: 453



#Item
291Numbers / Quadratic sieve / General number field sieve / Lenstra elliptic curve factorization / Prime number / Integer factorization / Factorization / Sieve of Eratosthenes / Factor base / Integer factorization algorithms / Mathematics / Number theory

pomerance.qxp[removed]:16 AM Page[removed]A Tale of Two Sieves Carl Pomerance (This paper is dedicated to the memory of my friend and

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:07
292Analytic number theory / Integer sequences / Prime numbers / Group theory / Prime-counting function / Prime number theorem / Elliptic curve / Riemann hypothesis / Factorial / Mathematics / Number theory / Mathematical analysis

Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-03-19 13:19:05
293Analytic number theory / Prime numbers / Prime number theorem / Sieve theory / Prime-counting function / Prime number / Arithmetic functions / Chebyshev function / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Number theory / Mathematical analysis

On the Distribution of Pseudopowers Sergei V. Konyagin Department of Mechanics and Mathematics Moscow State University Moscow, 119992, Russia [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-07-30 15:14:32
294Number theory / Combinatorics / Prime numbers / Complex analysis / Binomial coefficient / Factorial / Natural density / Prime-counting function / Pi / Mathematics / Mathematical analysis / Integer sequences

Divisors of the middle binomial coefficient Carl Pomerance Mathematics Department, Dartmouth College, Hanover, NH 03755, USA [removed] December 20, 2013

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2013-12-21 18:24:33
295Divisor function / Arithmetic functions / Aliquot sequence / Sociable number / Perfect number / Prime number / Normal distribution / Mathematics / Integer sequences / Number theory

ON THE DISTRIBUTION OF SOCIABLE NUMBERS MITSUO KOBAYASHI, PAUL POLLACK, AND CARL POMERANCE Abstract. For a positive integer n, define s(n) as the sum of the proper divisors of n. If s(n) > 0, define s2 (n) = s(s(n)), and

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-10-07 10:39:54
296Analytic number theory / Conjectures / Prime numbers / Prime number theorem / Prime-counting function / Riemann hypothesis / Quadratic residue / Exponentiation / Algebraic number field / Mathematics / Abstract algebra / Number theory

On pseudosquares and pseudopowers Carl Pomerance Department of Mathematics Dartmouth College Hanover, NH[removed], USA [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-03-17 11:52:03
297Integer sequences / Arithmetic functions / Aliquot sequence / Elementary number theory / Amicable numbers / Divisor / Orbit / Pythagoras / Prime number / Mathematics / Divisor function / Number theory

Amicable numbers The Memorial Conference for Felice and Paul Bateman and Heini Halberstam University of Illinois, June 5–7, 2014 Carl Pomerance, Dartmouth College

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2014-06-03 20:27:30
298Integer sequences / Modular arithmetic / Group theory / Analytic number theory / Elliptic curve / Primality test / Coprime / Prime number / Carmichael number / Mathematics / Abstract algebra / Number theory

INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS AARON EKSTROM, CARL POMERANCE and DINESH S. THAKUR (September 25, 2011)

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2011-09-27 14:35:17
299Modular arithmetic / Arithmetic function / Prime-counting function / Exponentiation / Fibonacci number / Binomial coefficient / Proof that π is irrational / Mathematics / Number theory / Prime numbers

Proceedings of the Edinburgh Mathematical Society[removed], 271–289 DOI:[removed]S0013091510001355 ON NUMBERS n DIVIDING THE nTH TERM OF A LINEAR RECURRENCE 1

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2012-05-10 10:36:06
300Numbers / Strong pseudoprime / Lucas pseudoprime / Primality test / Prime number / Baillie–PSW primality test / Carmichael number / Integer factorization / Probable prime / Pseudoprimes / Mathematics / Number theory

ARE THERE COUNTER-EXAMPLES TO THE BAILLIE – PSW PRIMALITY TEST? Carl Pomerance 1984 to Arjen K. Lenstra on the defense of his doctoral thesis

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2014-05-14 13:22:43
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