Euler’s phi-Function and Prime Factors: A Match Made with PIE!
Dive into the captivating world of Euler’s phi-function and reveal its hidden connection to prime factors using the ingenious Principle of Inclusion-Exclusion!
Binary Transformer
Unleash Your Skills to Morph 01 into 10, if possible.
Is every odd number the sum of a power of two and a prime number?
A mathematical meditation on the Polignac conjecture
The best approximate fraction for π
A mathematical meditation
Three Fridays
Three Fridays of a month fall on even days, such as the 8th or the 24th. On which day of the week does the 21st of this month fall?
Triangle area
Can you find the area of a triangle?
Three Digit Number
A three-digit number becomes larger by 9 if you swap its second and third digits, and it becomes larger by 90 if you swap its first and second digits. By how much does it get larger if you swap its first and third digits?
What kind of solid is this?
Spatial imagination is required: Can you deduce the shape of a solid from the front view, side view and top view?
Mathematical conjectures that turned out to be wrong (1)
Part 1: Mertens’ Conjecture