MathDB

2

Part of 2002 India IMO Training Camp

Problems(1)

2002 consecutive postve intgrs containing exactly 150 primes

Source: India tst 2002 p2

7/13/2012
Show that there is a set of 20022002 consecutive positive integers containing exactly 150150 primes. (You may use the fact that there are 168168 primes less than 10001000)
combinatorics unsolvedcombinatorics