Sec 1: Biggest Primes

Hi,

As you are reading this, there are people out there still looking for a prime number bigger than the last. How big can these Mersenne primes get?

http://primes.utm.edu/largest.html

I heard from someone before that you do get paid for discovering the biggest prime number. Not sure aboutthe prize money/recognition though... =)

Cheers~

Mr Tham

Sec 3: Who is e?

Hi,



I remembered someone asked me what e is earlier today...



Hmmm... A good friend of logarithm... This article would help.



http://www-history.mcs.st-andrews.ac.uk/HistTopics/e.html

Cheers~
Mr Tham

Sec 2: Pythagoras' Theorem

WoW...



Pythagoras' Theorem seemed to have existed 1000 years before Pythagoras proved the theorem. It was interesting how Pythagoras came to discover the theorem while waiting for the rule of Samos... (Perhaps we shall spend more time reflecting and we may discover something new...)



Anyway, I "discovered" that the special set of 3 numbers that satisfies Pythagoras Theorem can be expressed as General Terms. a = 2k+1, b = 2k (k + 1) and c = b + 1. k can be any positive number (using natural numbers would be a wiser option). Anyone keen to prove that this is true?



By the way, discovered all this from www.flashpapers.com/main/research-papers/pythagorous-theorem.html. Interested parties, please visit the link.



Cheers~

Mr Tham