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# Weird question help watch

1. So my friend gave me this problem:
2^a + 3^b = c^2 where a, b and c are all integers. I have got one solution where a=4, b= 2 and c=5 but I cant find any others. If this is the only solution I also have to prove why but have no idea how to do this.
Any help would be great
2. TeeEm ("Miss" :P )
3. (Original post by Quantum42)
So my friend gave me this problem:
2^a + 3^b = c^2 where a, b and c are all integers. I have got one solution where a=4, b= 2 and c=5 but I cant find any others. If this is the only solution I also have to prove why but have no idea how to do this.
Any help would be great
Remember that is squared, so you really mean .

Also, what about ? Or ?
4. (Original post by FrenchUnicorn)
TeeEm ("Miss" :P )
sorry but I am teaching
5. (Original post by TeeEm)
sorry but I am teaching
PRSOM *so frustrating*
6. (Original post by Quantum42)
So my friend gave me this problem:
2^a + 3^b = c^2 where a, b and c are all integers. I have got one solution where a=4, b= 2 and c=5 but I cant find any others. If this is the only solution I also have to prove why but have no idea how to do this.
Any help would be great
Some initial considerations, you want to be a square number. You also know that and are primes.
7. (Original post by Zacken)
Some initial considerations, you want to be a square number. You also know that and are primes.
Sorry still really confused as to how that helps

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