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no in position 167 of sequence of naturals 1, 5, 6, 25, 26, 30, 31,...

Source: 2004 Moldova JBMO TST p5

February 20, 2021
number theorymultiplePower of 5

Problem Statement

The sequence of natural numbers 1,5,6,25,26,30,31,...1, 5, 6, 25, 26, 30, 31,... is made up of powers of 55 with natural exponents or sums of powers of 55 with different natural exponents, written in ascending order. Determine the term of the string written in position 167167.
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