Continue your investigations into Pythagorean triples and/or Euler Bricks. Possible topics include: • Connections between Fibonacci numbers and Pythagorean triples. The number 5 is both a Pythagorean hypoteneuse and Fibonacci number. Do other numbers share these properties? • Pythagorean quadruples (x, y, z, w) where x² + y² + z² = w². • Let x + y + z be the perimeter of the triple (x, y, z). In 1900, Derrick Lehmer proved that if N(p) is the N (p) number of primitive Pythagorean triples of perimeter < p, then log 2 Р πT² as p→∞.

Continue your investigations into Pythagorean triples and/or Euler Bricks. Possible topics include: • Connections between Fibonacci numbers and Pythagorean triples. The number 5 is both a Pythagorean hypoteneuse and Fibonacci number. Do other numbers share these properties? • Pythagorean quadruples (x, y, z, w) where x² + y² + z² = w². • Let x + y + z be the perimeter of the triple (x, y, z). In 1900, Derrick Lehmer proved that if N(p) is the N (p) number of primitive Pythagorean triples of perimeter < p, then log 2 Р πT² as p→∞.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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