Finding the biggest possible value of n
Maths and statistics discussion, revision, exam and homework help.
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Re: Finding the biggest possible value of nWho said 1 was prime?(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments? -
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Re: Finding the biggest possible value of n2 is prime.(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments?
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"? -
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Re: Finding the biggest possible value of nIt's more restrictive:(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"?
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Re: Finding the biggest possible value of n- Fermat's last theorem doesn't restrict a, b, c to primes(Original post by MAA_96)
Why this question is not Fermat's last theorem?
- 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. -
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Re: Finding the biggest possible value of nBut 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.(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.
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Re: Finding the biggest possible value of nNot 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).(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.
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Re: Finding the biggest possible value of nDayum boy, you always assume n is even?(Original post by MAA_96)
1? could you explain your solution a little more please -
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Re: Finding the biggest possible value of nMillenhouse #3(Original post by Lord of the Flies)
Who said 1 was prime? -
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Re: Finding the biggest possible value of n1 is not prime.....look up the Fundamental Theorem of Arithmetic(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments?
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Re: Finding the biggest possible value of nDoesn'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 ?(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). -
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Re: Finding the biggest possible value of n2 is prime 1 is not.(Original post by MrBlueMo0n)
Wowowowow! 1 is prime and 2 is prime? Or have I misread some of the comments? -
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Re: Finding the biggest possible value of nNot when(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 ?
- I posted something about this earlier; if 
is even:
Last edited by Lord of the Flies; 12-07-2012 at 15:17. -
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Re: Finding the biggest possible value of nJust a typo - I know what a congruence is(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...
Edit: corrected nowLast edited by Lord of the Flies; 12-07-2012 at 15:23. -
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Re: Finding the biggest possible value of nTY(Original post by moritzplatz)
2 is prime 1 is not.
