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Home » Wait — perhaps I miscalculated the sum formula. - ECD Germany

Wait — perhaps I miscalculated the sum formula. - ECD Germany

📅 May 3, 2026 👤 scraface

May 03, 2026

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Smallest: 1000 (divisible by 5)
Largest: 9995 (since 9999 is not divisible by 5, subtract 4 to get 999...
These numbers form an arithmetic sequence where \(a = 1000\), \(l = 99...
The number of terms \(n\) is given by the formula for the \(n\)-th ter...
l = a + (n-1) \cdot d \implies 9995 = 1000 + (n-1) \cdot 5
= (n-1) \cdot 5 \implies n-1 = 1799 \implies n = 1800
There are \(\boxed{1800}\) positive 4-digit numbers divisible by 5.
What is the sum of the distinct prime factors of 360?
First, perform the prime factorization of 360.
Divide by 2 (the smallest prime number):

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