MathDB

4

Part of 1983 Canada National Olympiad

Problems(1)

Prime p divides infinitely many 2^n - n

Source: Canadian Mathematical Olympiad - 1983 - Problem 4.

6/26/2011
Prove that for every prime number pp, there are infinitely many positive integers nn such that pp divides 2nāˆ’n2^n - n.
modular arithmeticnumber theory unsolvednumber theory