Euler’s phi-Function and Prime Factors: A Match Made with PIE!
Dive into the world of Euler’s phi-function and reveal its hidden connection to prime factors
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
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?
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?
Mathematical conjectures that turned out to be wrong (1)
Part 1: Mertens’ Conjecture
Are there conjectures in math that have been proven wrong although they looked right?
A good example from divisibility and prime number theory.
Is 5051 > 5150 or vice versa?
Good question! Here the exponential function helps.
Prime number pairs
How many different paris of prime numbers are there for which the sum is 999?