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 16th. May 2024.

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Series 66

problem 787

‘You always have to solve problems with right-angled triangles. But do you know when Pythagoras‘ birthday is?’ asked Grandad. ‘No idea,’ Bernd blurted out. ‘I admit the question is a bit mean, because this information hasn't been passed down. But the friends of Pythagoras know how to help themselves,’ grinned the grandad.
You use the information of a date. Day number d (1; ...; 31), month number m (1; ...; 12) and the year number j. This number can (does not have to) be a one-digit number, for example 2009 simply (if there are two zeros before the last digit) 9. The number can (does not have to) be a two-digit number, for example 2030 becomes 30 (if the second digit is a zero) or the year has four digits. If d², m² and j² can be put into the form a² + b² = c², then it is Pythagoras' birthday.
Examples: 5.12.2013 becomes 5² + 12² = 13² and 3.5.2004 becomes 3² + 4² = 5²
The numbers 2000 to 3000 can be used as years.
When was Pythagoras' birthday celebrated in the period up to 2010? 4 blue points
When is the next birthday celebrated and when is the last one in the period? 4 red points

Deadline for solution is the 16th. May.

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adress:
Thomas Jahre
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