saw this following post by meiju on fb (pardon the blatant copying of text.. haha..):

What is the smallest positive prime factor of the integer: 2005^2007 + 2007^2005? - Singapore Maths Olympiad question for high school students. (the answer is 2, btw)

i couldn't help but try to prove that e answer was 2.. guess i'm still quite attracted to SMO questions.. anyway tt aside, e question does look quite intimidating.. but SMO questions, given their nature, are most of e time relatively simple, tt is if u noe wat concepts to apply.. in proving/solving this question, u need to make use of 3 simple concepts..

1. odd number * odd number = odd number
when u realise tt this is e case, u would see tt 2005^2007 is just multiplying a chain of odd numbers.. at e add of all e calculation, u would end up with an odd number.. same goes for 2007^2005..

2. odd number + odd number = even number
so e result of 2005^2007 (which is an odd number) + e result of 2007^2005 (also an odd number) gives u an even number..

3. even numbers are divisible by 2.
so ultimately, 2005^2007 + 2007^2005 would give u an even number and 2 would be one of it's factors.. coincidentally, 2 is e smallest positive prime factor possible for any given number..

without doing any real calculations, e question has been solved..

things to do in this short 1 week break:

-tidy up this blog
-tidy up my table/stuff
-get my things ready for ICT in dec
-exercise
-update resume
-read up a little on accountancy stuff
-calculate my finances

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i wonder if an absence of posting on my blog is a good thing.. not tt i'm really busy with anything else though.. certainly, i'm working now.. but it could just be tt i'm just lazy nowadays.. quite a few of my friends' blogs are literally dead as i see it.. but maybe tt's cos they're busy.. anyway, pls pardon me if u find this post incoherent.. cos i'm really just typing out watever's going through my brain without much thought..

was put out of action for e majority of last month due to a major feeling of unwellness.. definitely not something tt i want to go through anytime soon.. anyway, e main cause of my sickness seemed to be due to stomach bloatedness.. as simple as it may have seemed, it caused quite a hell of a time for me then.. lethargic, lack of appetite, headache.. not very clear symptoms of the underlying problem, as i had thought.. and apparently wat e western docs had wanted me to think too.. was perhaps e first time where i was quite disappointed in e approach tt western medicine take in tacking a sickness.. or maybe my disappointment is directed at e healthcare system as a whole..

lots of patients, short consultation time.. basically getting a sense tt e doc is trying to clear e patients as fast as possible.. probably more so in e setting of a polyclinic.. come on.. i'm feeling sick.. v sick to be exact (although i may not look like it).. e last thing i wanna feel is tt u dun really give a damn abt my sickness..

sincerity sincerity.. smth tt was ingrained in me by emu.. i think sincerity is something which quite a few of us lack..

maybe i'll just talk a bit abt my temp job here.. i quite like it to say e least.. and tt's not because i'm e only guy in my team.. i think being part of a team tt's strongly bonded and fun to be with really makes a difference in whether e job is enjoyable.. and i would say tt i dun really see wat i am doing now as a job, because i quite enjoy wat i am doing.. hearing stories from those who have started work in e big 4 then made me wonder if i would find e same sense of enjoyment.. e enjoyment in doing something cos u sincerely wanted to do it.. cos u liked doing it.. and not because it was yr job.. not just because u were paid to do it..

haiz.. suddenly felt a flash of emo-ness flowing through me.. blogging at night time and in a state of mind tt's half shut down can make one emo.. and a little grumpy..

A recent P6 PSLE maths question:

Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1:7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy?

Try solving the question without using algebra before you take a look at this article: Parents up in arms again over PSLE Mathematics paper

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