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Why e maximizes the product

This is an optimization proof of my claim that e is the best number to add up to make a positive number ( greater than e) if the maximum product is required.

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Prove that n⁷ +7 is never a perfect square.
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Prove that n⁷ +7 is never a perfect square.

p² - p +1 = n³
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p² - p +1 = n³

Free Algebra Class online
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Free Algebra Class online

Lambert W Function
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Lambert W Function

(n-1)!+1 = n^2
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(n-1)!+1 = n^2

e Was Hiding Something — Hermite Finally Caught It
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e Was Hiding Something — Hermite Finally Caught It

Find all positive integer n
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Find all positive integer n

Evaluate Sigma [1/(2n)!]
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Evaluate Sigma [1/(2n)!]

Find the smallest n
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Find the smallest n

What is e and ln(x)? (Euler's Number and The Natural Logarithm)
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What is e and ln(x)? (Euler's Number and The Natural Logarithm)

What is the value of this crazy iterated square??
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What is the value of this crazy iterated square??

Why Is Euler’s Number 𝑒 So Special?
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Why Is Euler’s Number 𝑒 So Special?

The 4-Page Paper That Broke Mathematics
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The 4-Page Paper That Broke Mathematics

Solving a Quartic Equation
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Solving a Quartic Equation

Prime Numbers Might Not Be Random After All
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Prime Numbers Might Not Be Random After All

If You're an Engineer, This is for YOU | Don McMillan Full Stand-Up Special
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If You're an Engineer, This is for YOU | Don McMillan Full Stand-Up Special

Prove that this difference of squares is a multiple of 48
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Prove that this difference of squares is a multiple of 48

New York's $1.4B Pencil Towers are Swaying Out of Control — Their Fix Made it Worse
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New York's $1.4B Pencil Towers are Swaying Out of Control — Their Fix Made it Worse

A System of Prime Equations
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A System of Prime Equations

The Basel Problem
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The Basel Problem

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