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exponent of 37 in representation of 111...... 11

Source: Estonia IMO TST 2001 p5

March 26, 2020

primesProductPowernumber theoryDigits

Problem Statement

Find the exponent of

37

in the representation of the number

111...... 11

with

3\cdot 37^{2000}

digits equals to

1

, as product of prime powers

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