You are Here: Home

# Finding the biggest possible value of n Tweet

Maths and statistics discussion, revision, exam and homework help.

Announcements Posted on
Enter our travel-writing competition for the chance to win a Nikon 1 J3 camera 20-05-2013
IMPORTANT: You must wait until midnight (morning exams)/4.30AM (afternoon exams) to discuss Edexcel exams and until 1pm/6pm the following day for STEP and IB exams. Please read before posting, including for rules for practical and oral exams. 28-04-2013
1. Re: Finding the biggest possible value of n
(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments?
Who said 1 was prime?
2. Re: Finding the biggest possible value of n
(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments?
2 is prime.

Is the question meant to be:

"Find the largest value of n such that a^n+b^n=c^2 has a solution, where a, b and c are coprime integers"?
3. Re: Finding the biggest possible value of n
(Original post by dantheman1261)
2 is prime.

Is the question meant to be:

"Find the largest value of n such that a^n+b^n=c^2 has a solution, where a, b and c are coprime integers"?
It's more restrictive:
4. Re: Finding the biggest possible value of n
Why this question is not Fermat's last theorem?
5. Re: Finding the biggest possible value of n
(Original post by MAA_96)
Why this question is not Fermat's last theorem?
- Fermat's last theorem doesn't restrict a, b, c to primes

- Fermat's last theorem doesn't restrict n to non-primes

- Fermat's last theorem has three integers to the n, not two and one simply squared.
6. Re: Finding the biggest possible value of n
(Original post by Lord of the Flies)
- Fermat's last theorem doesn't restrict a, b, c to primes

- Fermat's last theorem doesn't restrict n to non-primes

- Fermat's last theorem has three integers to the n, not two and one simply squared.
But a,b,c being primes, all we get is 2+7=3^2, 2+23=5^2, 2+47=7^2, 2+167=13^2, etc., etc.

7. Re: Finding the biggest possible value of n
(Original post by MAA_96)
But a,b,c being primes, all we get is 2+7=3^2, 2+23=5^2, 2+47=7^2, 2+167=13^2, etc., etc.

Not sure how that is a reply to my FLT post, but yes indeed I can't see any solutions for n>1 - so your answer is most probably 1, but I can't see a straightforward way of showing it (yet).
8. Re: Finding the biggest possible value of n
(Original post by MAA_96)
Dayum boy, you always assume n is even?
9. Re: Finding the biggest possible value of n
Should n be even here ?
10. Re: Finding the biggest possible value of n
(Original post by Lord of the Flies)
Who said 1 was prime?
Millenhouse #3
11. Re: Finding the biggest possible value of n
(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments?
1 is not prime.....look up the Fundamental Theorem of Arithmetic
12. Re: Finding the biggest possible value of n
(Original post by Lord of the Flies)
Not sure how that is a reply to my FLT post, but yes indeed I can't see any solutions for n>1 - so your answer is most probably 1, but I can't see a straightforward way of showing it (yet).
Doesn't the modular arithmetic cases show that the congruence of c^2 to 6 can never be the same for the congruence of a^n +b^n to 6 for n>1 ?
13. Re: Finding the biggest possible value of n
(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments?
2 is prime 1 is not.
14. Re: Finding the biggest possible value of n
(Original post by GreenLantern1)
Doesn't the modular arithmetic cases show that the congruence of c^2 to 6 can never be the same for the congruence of a^n +b^n to 6 for n>1 ?

Last edited by Lord of the Flies; 12-07-2012 at 15:17.
15. Re: Finding the biggest possible value of n
(Original post by Lord of the Flies)

Oh I thought it was mentioned that 2 and 3 were not inclusive. Oh it must have been you saying that you could prove it when excluding 2 and 3.
16. Re: Finding the biggest possible value of n
(Original post by Lord of the Flies)

And not to be pedantic but you should be using the congruence sign rather than the equal sign for modular arithmetic...
17. Re: Finding the biggest possible value of n
(Original post by GreenLantern1)
And not to be pedantic but you should be using the congruence sign rather than the equal sign for modular arithmetic...
Just a typo - I know what a congruence is

Edit: corrected now
Last edited by Lord of the Flies; 12-07-2012 at 15:23.
18. Re: Finding the biggest possible value of n
(Original post by Lord of the Flies)
Just a typo - I know what a congruence is

Edit: corrected now
Well since you showed the cases of congruence I am sure you do! Just thought I'd let you know
19. Re: Finding the biggest possible value of n
(Original post by GreenLantern1)
1 is not prime.....look up the Fundamental Theorem of Arithmetic
I know, but some guy said that 1 was prime. Don't really remember why I put '2 is prime?' in there as well, but I did get confused with the 1...
20. Re: Finding the biggest possible value of n
(Original post by moritzplatz)
2 is prime 1 is not.
TY