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MathNet 2018-part-06 — 181 problems (EN–VI) Question 131

Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)

Question 131

For positive integers $m$ and $n$, compare the numbers $A = m^{525} + n^{525}$ and $B = (m+n)(m^2+n^2)(m^4+n^4)(m^8+n^8)\dots(m^{128}+n^{128})$.