MathDB
E 35

Source:

May 25, 2007
number theoryprime numbers

Problem Statement

There exists a block of 10001000 consecutive positive integers containing no prime numbers, namely, 1001!+21001!+2, 1001!+31001!+3, ⋯\cdots, 1001!+10011001!+1001. Does there exist a block of 10001000 consecutive positive integers containing exactly five prime numbers?
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