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# Any ideas? Watch

1. Prove that 3^4^5+4^5^6 is a product of two integers, each of which is larger than 10^2002.
Tried a couple of things but can't find a reasonable approach.
2. (Original post by ValerieKR)
Prove that 3^4^5+4^5^6 is a product of two integers, each of which is larger than 10^2002.
Tried a couple of things but can't find a reasonable approach.
Is this or ?
3. (Original post by Zacken)
Is this or ?
2nd one
4. (Original post by ValerieKR)
2nd one
Write as where you choose a suitable value for , then factorise and show the smaller factor is greater than 10^(2002).
5. (Original post by Zacken)
Write as where you choose a suitable value for , then factorise and show the smaller factor is greater than 10^(2002).
Thanks

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