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Poblem 2 (jbmo tst), moldova

Source: JBMO TST, Moldova

March 31, 2006
number theory proposednumber theory

Problem Statement

Prove that there infinitely many numbers of the form 18m+45m+50m+125m18^{m}+45^{m}+50^{m}+125^{m}, divisible by 2006. m∈Nm\in N