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Find all x satisfying ⌊x/3⌋ - ⌊x/4⌋ = x/13 Similar to ARML 2013 T-8

My One Fiftieth Of A Dollar • July 5, 2024

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My One Fiftieth Of A Dollar

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Find all x satisfying ⌊x/3⌋ - ⌊x/4⌋ = x/13 Similar to ARML 2013 T-8

My One Fiftieth Of A Dollar

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Suppose n is the product of twin primes. Show n+1 and nφ(n)+1 are square integers.

My One Fiftieth Of A Dollar

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Given log3⁡(log3 (x)) = log9⁡(log9 (x)) Find x ∈ R, Modified ARML 2009 I-5

My One Fiftieth Of A Dollar