 My Math Forum > Math A stronger fomulation of Fermat's Last Theorem
 User Name Remember Me? Password

 Math General Math Forum - For general math related discussion and news

 January 11th, 2019, 10:18 PM #1 Newbie   Joined: Jan 2019 From: France Posts: 2 Thanks: 0 A stronger fomulation of Fermat's Last Theorem We consider only positive integers. The formulation is as follows: Every squared integer can be expressed as the difference of two squared integers; for powers greater than two, there is not a single integer for which an analogous statement is true. In short, every integer is a member of a Pythagorean triple. Note that for prime numbers and even semi-primes (2*odd prime), the expression is unique and consists in the former case of consecutive integers, in the latter of integers which differ by two. In other cases, there are as many expressions as there are factorisations of the squared integer into two unequal integer factors of the same parity (where 1 is considered a legitimate factor). January 12th, 2019, 02:07 AM #2 Newbie   Joined: Jan 2019 From: France Posts: 2 Thanks: 0 Examples: Prime: 17×17 = 145×145 - 144×144 Even semi-prime: 22×22 = 122×122 - 120×120 Other: 12×12 = 37×37 - 35×35 = 20×20 -16×16 = 15×15 - 9×9 = 13×13 - 5×5 Tags factorisation, fermat, fomulation, integer, stronger, theorem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Rachanesamir Number Theory 2 May 13th, 2015 07:46 AM McPogor Number Theory 5 December 7th, 2013 07:28 PM McPogor Number Theory 15 May 31st, 2011 07:31 AM smslca Number Theory 4 September 14th, 2010 08:00 PM SnakeO Number Theory 10 September 25th, 2007 04:23 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top      