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n = d_1^2+... - Iran NMO 1998 (Second Round) Problem4

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October 4, 2010
number theory proposednumber theory

Problem Statement

Let the positive integer nn have at least for positive divisors and 0<d1<d2<d3<d40<d_1<d_2<d_3<d_4 be its least positive divisors. Find all positive integers nn such that: n=d12+d22+d32+d42. n=d_1^2+d_2^2+d_3^2+d_4^2.
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