MathDB

1

Part of 2010 BMO TST

Problems(1)

About the divisors of 1111...11(2011 ones)

Source: Albanian BMO TST 2010 Question 1

3/20/2010
a) Is the number 1111⋯11 1111\cdots11 (with 2010 2010 ones) a prime number? b) Prove that every prime factor of 1111⋯11 1111\cdots11 (with 2011 2011 ones) is of the form 4022j\plus{}1 where j j is a natural number.
modular arithmeticnumber theory unsolvednumber theory