Title: Indivisibility of relative class numbers Abstract: For a totally real field F and an odd prime number p, it is conjectured that there are infinitely many CM quadratic extension of F whose relative class number is

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On the largest prime factor of the Mersenne numbers Kevin Ford Department of Mathematics The University of Illinois at Urbana-Champaign Urbana Champaign, IL 61801, USA

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Healthcare 3.0 kpmg.com/healthcare Prime numbers Helping organizations unlock

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MULTIPLE RECURRENCE AND CONVERGENCE FOR SEQUENCES RELATED TO THE PRIME NUMBERS NIKOS FRANTZIKINAKIS, BERNARD HOST, AND BRYNA KRA Abstract. For any measure preserving system (X, X , µ, T ) and A ∈ X with µ(A) > 0, we

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ALIQUOT SEQUENCES WITH SMALL STARTING VALUES Wieb Bosma Abstract. We describe the results of the computation of aliquot sequences with small starting values. In particular all sequences with starting values less than a

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• Mathematics
• Integer sequences
• Number theory
• Divisor function
• Aliquot sequence
• Sequence
• Parity
• Perfect number
• 11
• Amicable numbers
• Prime number
• Pi

THE DISTRIBUTION OF PRIME NUMBERS Andrew Granville and K. Soundararajan 0. Preface: Seduced by zeros 0.1. The prime number theorem, a brief history. A prime number is a positive

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This is the author’s version of the paper. The final publication has appeared in Acta Arithmetica), 193–200. Prime numbers of the form p = m2 + n2 + 1 in short intervals Kaisa Matom¨aki∗

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Congruent Numbers Kent E. Morrison Here are the first 10 congruent numbers along with the side lengths of the associated right triangles. n 5

Source URL: www.aimath.org

• Elliptic curves
• Number theory
• Triangle geometry
• Group theory
• Analytic number theory
• Congruent number
• Birch and Swinnerton-Dyer conjecture
• Heegner point
• Prime number
• Shape
• Heegner
• Bryan John Birch

Lesson 9-1 Example 1 Classify Numbers as Prime or Composite Factor each number. Then classify each number as prime or composite. a. 31 The only whole numbers that can be multiplied to get 31 are 1 and 31. Therefore, the

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Prime Numbers: A Much Needed Gap Is Finally Found John Friedlander In May of 2013 the Annals of Mathematics accepted

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