Items related to How to Prove The Collatz Conjecture
Synopsis
The first proof of the Collatz Conjecture.
"synopsis" may belong to another edition of this title.
About the Author
I have a Bachelor of Science in Mathematics and a Classical Studies Minor I received from Califorina State University in 1996.
Excerpt. © Reprinted by permission. All rights reserved.
... First, any even number will continue decreasing until it reaches 1 or an odd number. Once we reach this odd number x, we will have an even number after the 3x+1 rule is applied. Here is why: We know 3 is always odd by definition. And x is always odd because the 3x+1 rule is always used if x is odd. For the 3x part of 3x+1, we have an odd number (3) times another odd number (x). We know from Book IX Proposition 29 of Euclid's Elements that an odd number times another odd number is always odd. Examples, using 3 and any other positive odd integer for 3x+1 are: 3x3=9, 3x9=27, 3x81=243, 3x5=15, 3x19=57, etc. As expected, 9, 27, 243, 15, 57 are all odd ... Adding 1 to this proven odd 3x will always be an even number because any odd number plus 1 is even ... .
"About this title" may belong to another edition of this title.
Search results for How to Prove The Collatz Conjecture
Seller Image
How to Prove the Collatz Conjecture
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 3391800
Quantity: Over 20 available
Seller Image
How to Prove the Collatz Conjecture
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 3391800-n
Quantity: Over 20 available
Stock Image
How to Prove The Collatz Conjecture
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar2411530178381
Quantity: Over 20 available
Stock Image
How to Prove The Collatz Conjecture
Print on DemandSeller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9781411604278
Quantity: Over 20 available
Stock Image
How to Prove The Collatz Conjecture
Seller: Best Price, Torrance, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. SUPER FAST SHIPPING. Seller Inventory # 9781411604278
Quantity: 2 available
Seller Image
How to Prove The Collatz Conjecture
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Seller Inventory # LU-9781411604278
Quantity: Over 20 available
Stock Image
How to Prove The Collatz Conjecture
Print on DemandSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9781411604278
Quantity: Over 20 available
Stock Image
How to Prove The Collatz Conjecture
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Seller Inventory # 6666-IUK-9781411604278
Quantity: 10 available
Stock Image
How to Prove The Collatz Conjecture
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781411604278_new
Quantity: Over 20 available
Stock Image
How to Prove The Collatz Conjecture
Print on DemandSeller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 263. Seller Inventory # C9781411604278
Quantity: Over 20 available