Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: perfect square-proof

Yes, that is what I read.

is not always a square number.

Why is it not sufficient to provide two examples, one where it is true and one where it is false to satisfy the criterion of not always a square?

If I asked you to prove that primes are not always odd doesn't just writing down 2 and 3 prove the statement?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: perfect square-proof

But it does not ask you to prove it for all the primes. This one does.

---

“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: perfect square-proof

Writing 2 and 3 does prove it for all primes. It shows that some are odd and some are even. Do you really even need to now know what the parity of the rest are?

His statements prove that some are squares and some are not. It really does not matter if all the rest of the numbers are squares or not. He proved that some are and some are not.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: perfect square-proof

But not for all j and r!

---

“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: perfect square-proof

Hmmm, I do not think that is necessary but I might be wrong. If I am right I am not going to convince you of that and if I am wrong it is beyond my abilities at the moment. Either way in the immortal words of Zeus to Hercules, "the Cretan bull awaits!"

I have to take a break see you later.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

evinda

Member

Registered: 2013-04-13

Posts: 105

Re: perfect square-proof

I am not doing that, because that statement is true.

In case you have not read the first post, which seems to be the case, it asks us to prove that, if j is a square number and r an integer, j+i*r is not always a square number.

Ok,I will read it..thank you very much!!!!