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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

That did not make sense.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Which part?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

It does not seem like a proper sentence.

Amyway, the five thread conversation is really making me sweat. I am out of practice.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Hmmm, you are passed your bedtime young fellow.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

So?

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Early to bed, early to rise, makes a man healthy, wealthy and wise.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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I guess I am having problem with precision.

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Hold on, I am eating. I will be checking up on this every few minutes.

What are you getting for

When you substitute a0 with 1 to 9?

If that is where you are having problems then do you want me to do one so you can see how to do it?

*Last edited by bobbym (2013-03-03 15:54:28)*

**In mathematics, you don't understand things. You just get used to them.**

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Actually I am trying to solve this equation:

(10^57-6)*a0 congruent to 0 (mod 59))

And to me it seems that every value of a0 is satisfying the equation

*Last edited by Agnishom (2013-03-03 16:14:19)*

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

That is true 1 to 9 will all work but they will not all solve the problem.

**In mathematics, you don't understand things. You just get used to them.**

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Why should they all work? But not satisfy the problem????????????????????????

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

There are extra conditions on the problem that just multiplying by a0 does not handle.

**In mathematics, you don't understand things. You just get used to them.**

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What are they?

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Think of it like an extraneous root. Just because algebra gets an answer that does not mean it is a solution. Sometimes extraneous answers are produced. Checking by plugging in is always necessary.

**In mathematics, you don't understand things. You just get used to them.**

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1525423728813559322033898305084745762711864406779661016949

1016949152542372881355932203389830508474576271186440677966

Are the two answers as stefy said to plug a0 as 6 and 9

Is there a 116 digit solution too?

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Hi;

Before we try to answer that, there are two more solutions. Can you find them?

**In mathematics, you don't understand things. You just get used to them.**

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Any hint?

Gotta go to school

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

I will show you how to check them, you will not need a hint. Have a good day at school and study hard.

Here is the number we find for a0 = 6:

Take the a0 and put it on the back of the answer. You get,

Now does 6 times that equal the original original number with the unit digit moved to the front?

That does equal the first number we found with the unit digit moved to the front. We have a solution! Check all the other possibles in the same way. You will find 4 solutions.

*Last edited by bobbym (2013-03-03 18:23:15)*

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Agnishom wrote:

Why should they all work? But not satisfy the problem????????????????????????

I will tell you once you solve the problem.

Here lies the reader who will never open this book. He is forever dead.

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508474576271186440677966101694915254237288135593220338983

'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

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1186440677966101694915254237288135593220338983050847457627

'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

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That makes it four. Anonymnistefy, please explain now

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Hi Agnishom;

**In mathematics, you don't understand things. You just get used to them.**

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Are you kidding me?

```
>>> 1186440677966101694915254237288135593220338983050847457627*6
7118644067796610169491525423728813559322033898305084745762L
>>> 508474576271186440677966101694915254237288135593220338983*6
3050847457627118644067796610169491525423728813559322033898L
```

'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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Hi;

That first one is very interesting but

For the second one please check again.

*Last edited by bobbym (2013-03-03 23:22:59)*

**In mathematics, you don't understand things. You just get used to them.**

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