Primal Proofs : Proofs Offering a Clearer Picture of Prime Numbers
Overview
This book offers several proofs that deal with prime numbers. A proof by contradiction of Goldbach's binary conjecture that every even natural number greater than two (2) can be expressed as the sum of two (2) primes is given. A proof of Goldbach's ternary conjecture that all natural numbers greater than five (5) are the sum of three (3) primes via the binary proof is presented. A proof by construction (utilizing the proof of the binary conjecture) of the twin prime conjecture is offered. A proof of the Riemann hypothesis by deduction is presented. A proof that any prime greater than three (3) is the mean of two other primes is presented. A proof is offered that any even number greater than fourteen (14) satisfies Goldbach's binary conjecture in a plurality of ways. Two entangled formulas that generate all the primes beyond the second prime (P2 = 3) are developed and summarized. Proofs of Andrica's, Legendre's and Brocard's conjectures are offered.
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Details
- ISBN-13: 9781448621255
- ISBN-10: 1448621259
- Publisher: Createspace Independent Publishing Platform
- Publish Date: October 2009
- Dimensions: 7.99 x 5 x 0.41 inches
- Shipping Weight: 0.43 pounds
- Page Count: 194
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