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you will need to prove that if n is not prime then 2^n - 1 is prime as well. So basically you just need to let n=pq, and then just let 2^n - 1 = 2^pq - 1, then you can factorise it into (2^p - 1) (2^p(q-1) + 2^p(q-2) + ... + 1) which proves the thing pretty much instantly.

Nah we got S for surnames and B6 in all my maths LETS GOOO, surely I am back on the list for next year!

who got a band 6

Whose on it?

Depends on what school you go tbh, but most selective schools are very welcoming, so you'd be able to make a bunch of friends very quickly. The only other thing is assessments will be much harder than non-selective school assessments especially if you are going to a school in the top 10. If you...

Lol for me I can't have any extra sound, other than ambient noise from my siblings, or else I literally cannot think cause I have that lingering urge to just watch youtube.

if you still need help for 23, I have attached what I did lmao dunno if it is correct tho. Edit: I forgot to say these are the factors excluding the number itself but Whatever lol

So this is basically a circle problem thingy, where you can just "pin" someone to sit at the start in this case the answers chose Walter, hence why he only has 1 choice, next the answers accounted for the number of different ways each couple can sit together thus why there is a multiplication of...

You can just split 8112 into the form of 10x + y which gives you 10 x 811 + 2, where you can now apply the x + 4y equation to give you 819, then you can just continue to repeat this process which gets you 117? and 39? Then you can just say 39 is obviously divisible by 3 (also because you can't...

I just finished my HSC maths adv and ext 1 this year, and the best advice I can give (or atleast the thing that made me improve the most) is to do as many past papers as possible, also I felt that during the tests the best thing when tackling hard questions is just to make a start and even if it...

Hey guys my sister is looking to do Music 1 for her hsc and I just wanted to ask for any Theory book recommendations, she is solid on the performance part but not so much on the theory side. Thank in advance!

I am pretty sure that Ngo and Son's is pretty good especially for the price, the guy that was ranked first (second in the grade) in my class for Maths Extension 1 went there. Also for Science, I recommend Zhang's or Peak. That being said though, I wouldn't want you to switch tutoring centres and...

Does anyone have the 1998 4 unit past paper solution?

Title, I am in need to find them for the solution to the proofs questions they have lmao

No like I meant, the 4 method provided all used the calculator as part of the solution for example, the binomial theorem ones given evaluated the binomial expansion of (1+1/9)^9, so would that be accepted?

Would methods that use the calculator be accepted in the HSC though? Cause I thought you'd need to prove it without evaluating anything, correct me if I'm wrong tho I have just begun this stuff lmao

BRO IF YOU AIMING FOR MED AT USYD YOU JUST WANT TO DO YOUR BEST SUBJECTS, like for real tho, you really want to do your best subjects, good to pick up a state rank here or there maybe, but you really to be on top of your game for all your subjects, like first in school for every subject type...

could some please prove: 10^9 < 9^10

Bruh come Dr Du I legit went from like rank 80 to 13th so it works, but all I gotta say is make it into an A class.

yea I can agree with that, if you made a silly mistake for that maximum capacity question, it would be a pain to rewrite everything lol. Though im ngl I was kinda disappointed that there wasn't a binomial proof question, since I actually studied specifically for that lol