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 11nd of March 2021.

German version - Italian version - French version - Spanish version  Hungarian Version Russian version  --> 中文/Chinese <--

Series 56

problem 666

“The number of our mathematical task 666 really is a special number.”, Mike said.
“Sure, all digits are the same, that’s quite impressive.”, answered Maria.
How does 666 look in Roman numerals?
Is it a rich number? (If the sum of the real factor of a whole number is bigger than the number itself, the number is described as rich.)
It’s told that the sum of the first x consecutive squares of prime numbers should also be 666, is that correct? (1+2+1 =4 blue points)
You will get four red points, if you find five-digit prime numbers, which have the 666 in the middle. Like a6661, b6663, c6667 and d6669. If there are many solutions for the first digit, one example is enough.

-> Enigma <--

https://www.schulmodell.eu/images/stories/mathe/horst/raetsel.php

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You can also send a paper copy of your solution as long as it is postmarked on or before the deadline.
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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