Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**johnathon bresly****Guest**

hi,can anyone help me with this-

find one n such that

What does sigma mean over here?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

**Johnathon bresly****Guest**

Sigma function is the function that produces the sum of a integer's positive divisors.example:

.I am guessing such a solution does not exist.

I will bring up a proof

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

Consider the factors of n to be

and the sum of be x.Consider the factors of n+1 to be and the sum of be x-1.

There must be exactly one

for which another have the relation .Therefore, all the rest factors are common.

But, since gcd(n, n+1) =1, therefore, no other common factor other than 1 can exist.

Thus, there are only three factors.

Now, let us imagine that the factors of the first number are 1, a and n and the second number are 1, a-1, n+1

But, whenever there are just three factors of a number, they are perfect squares.

But, two positve perfect squares cannot be consecutive. So no such number exists

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

I am sorry. This proof seems to be seriously flawed

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

**{7/3}****Member**- Registered: 2013-02-11
- Posts: 210

Hi,johnathon bresly,do you know the formula

*Last edited by {7/3} (2013-05-19 17:53:57)*

There are 10 kinds of people in the world,people who understand binary and people who don't.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,600

Hi {7/3}

How does that help?

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

Offline

**{7/3}****Member**- Registered: 2013-02-11
- Posts: 210

Well, n and n+1 don't have any common primes,which can be a starting point

There are 10 kinds of people in the world,people who understand binary and people who don't.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,600

Yes, but there are many other cases to consider.

And, sorry if the last post sounded rude.

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

Offline

**{7/3}****Member**- Registered: 2013-02-11
- Posts: 210

It's okay,and i know there are many other cases but i wanted to give johnathon some facts so that he can make a strategy and solve it himself

There are 10 kinds of people in the world,people who understand binary and people who don't.

Offline

Pages: **1**