Items tagged with numbertheory

HI MaplePrimes,

Is the Goldbach Weak Conjecture proven?

Consider odd primes p, q, and r.  The question is, Is the sum p+q+r sufficient to reach all odd numbers greater than 9?

See - 

https://en.wikipedia.org/wiki/Goldbach's_weak_conjecture

I tried an example.

looping_for_Goldbach_Weak_Conjecture_8.mw

looping_for_Goldbach_Weak_Conjecture_8.pdf

Regards,

Matt

 

Hi MaplePrimes,

This YouTube video has a nice puzzle. 

It is titled "Can you solve the locker riddle". 
My first blush was to consider modular arithmatic
https://www.youtube.com/watch?v=c18GjbnZXMw

Here is a maple page -
divisors_excercise.mw

divisors_excercise.pdf

Have a very fine rest of the day.

Regards,
Matt

 

Hi Maple Primes,

Can this code be improved?

I know that the Goldbach Conjecture has been checked with computer tools above 10^10.

Request for comments.

check_g_conjecture_26_b.mw

check_g_conjecture_26_b.pdf

Regards

Matt

 

How to prove  that there exists an integer number x s.t. x>0, x < 4*99! and x*(x+1) is divisible by 100! with Maple?
I know that was solved by C++ code.

Page 1 of 1