## Lets try some harder prob

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• Given a set M of 1985 distinct positive integers , none of which has a prime divisor greater than 26.Prove that M contains a subset of 4 elements whose product
Message 1 of 4 , Mar 1, 2007
Given a set M of 1985 distinct positive integers ,
none of which has a prime divisor greater than
26.Prove that M contains a subset of 4 elements whose
product is the 4th power of an integer.
Try!
>moon

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• Let a, b, c, d are prime numbers less than 26 and {a^4, b^4, c^4, d^4} is a subset of M. Now, a^4.b^4.c^4.d^4=(abcd)^4 MTZ
Message 2 of 4 , Mar 1, 2007
Let a, b, c, d are prime numbers less than 26 and {a^4, b^4, c^4, d^4}
is a subset of M. Now, a^4.b^4.c^4.d^4=(abcd)^4

MTZ

On 3/1/07, Tarik Adnan <moonmath420@...> wrote:
> Given a set M of 1985 distinct positive integers ,
> none of which has a prime divisor greater than
> 26.Prove that M contains a subset of 4 elements whose
> product is the 4th power of an integer.
> Try!
> >moon
• Hello, Excuse my limited understandig but, why there are a, b, c, d are prime numbers less than 26 such that {a^4, b^4, c^4, d^4} is a subset of M? Thanks, Sam
Message 3 of 4 , Mar 1, 2007
Hello,

Excuse my limited understandig but, why there are a, b, c, d are prime
numbers less than 26 such that {a^4, b^4, c^4, d^4} is a subset of M?

Thanks,

Sam

wrote:
>
> Let a, b, c, d are prime numbers less than 26 and {a^4, b^4, c^4, d^4}
> is a subset of M. Now, a^4.b^4.c^4.d^4=(abcd)^4
>
>
> MTZ
>
>
>
> On 3/1/07, Tarik Adnan <moonmath420@...> wrote:
> > Given a set M of 1985 distinct positive integers ,
> > none of which has a prime divisor greater than
> > 26...
• do u think that making the set is upto u? huh... moon ... {a^4, b^4, c^4, d^4} ... whose ...
Message 4 of 4 , Mar 1, 2007
do u think that making the set is upto u? huh... >moon
wrote:
> Let a, b, c, d are prime numbers less than 26 and
{a^4, b^4, c^4, d^4}
> is a subset of M. Now, a^4.b^4.c^4.d^4=(abcd)^4
>
>
> MTZ
>
>
>
> On 3/1/07, Tarik Adnan <moonmath420@...>
wrote:
> > Given a set M of 1985 distinct positive integers ,
> > none of which has a prime divisor greater than
> > 26.Prove that M contains a subset of 4 elements
whose
> > product is the 4th power of an integer.
> > Try!
> > >moon

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