- 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

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

--- In math_club@yahoogroups.com, "Tanvir Zawad" <tanvirzawad@...>

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

--- math_club@yahoogroups.com <tanvirzawad@...>

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

wrote:

>

>

> MTZ

>

>

>

> On 3/1/07, Tarik Adnan <moonmath420@...>

> > Given a set M of 1985 distinct positive integers ,

whose

> > none of which has a prime divisor greater than

> > 26.Prove that M contains a subset of 4 elements

> > product is the 4th power of an integer.

____________________________________________________________________________________

> > Try!

> > >moon

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