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Divisors

Source: Bulgarian TST1/2006 Problem 5

May 31, 2006
number theory unsolvednumber theory

Problem Statement

Problem 5. Denote with d(a,b)d(a,b) the numbers of the divisors of natural aa, which are greater or equal to bb. Find all natural nn, for which d(3n+1,1)+d(3n+2,2)+…+d(4n,n)=2006.d(3n+1,1)+d(3n+2,2)+\ldots+d(4n,n)=2006. Ivan Landgev
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