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Divisor in between (Posted on 2019-03-26)

The number N=2³³-2¹⁹-2¹⁷-1 has exactly one divisor between 1000 and 5000. Which divisor is that?

No Solution Yet Submitted by Danish Ahmed Khan

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solution

| Comment 1 of 2

2 ^ 33 - 2 ^ 19 - 2 ^ 17 - 1 = 85892792313, which has prime factors:

661

37021

Only 661*3 = 1983 is a divisor of the original number that lies between 1000 and 5000.

Posted by Charlie on 2019-03-26 13:38:09

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