This week's maths problem

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Problem of the week

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On Friday of each week we will post a new maths challenge.
You may submit your solution by the following Thursday.
Each problem contains two different levels of difficulty. You will be awarded from 2 to 12 points for a full answer.
Each series contains 12 problems before the stage winner is determined.
Your score will be published here.

In each series we will give away 3 books as prices. The prices will be drawn by lot among the best ten participants of the series. The books are kindly sponsored by Buchdienst Rattei of Chemnitz.

Suggestions for problems are welcome.

Deadline is 20th of June 2019.

German version - Italian version - French version - Spanish version

Series 51

problem 610

“Hello Mike, your paper is full of numbers and your calculator is rather hot to the touch”, Bernd said.
“I’m about to solve the secret of all positive integers (a, b, c).”
secret 1:

secret 2:

Mike thinks his formulas are true for any positive integers. Prove or disprove secret 1 for 4 blue points. Prove or disprove secret 2 for 6 red points.

Solving the picture-puzzle will get you two extra blue points, provided you also got points doing the regular maths problem. The rule for each picture puzzle is: Each icon represents one digit, same icons, same digits, different icons, different digits. ©HRGauern[at]@t-online.de

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adress:
Thomas Jahre
Stollberger Strasse 25
09119 Chemnitz
Germany

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post address: Thomas Jahre Chemnitzer Schulmodell Stollberger Straße 25 09119 Chemnitz Deutschland/Germany

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