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15
371
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Intuitive reason for an approximation to $x!$

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#calculus #asymptotics #approximation #factorial
202
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What is the formula to calculate a factorial?

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#factorial
257
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Is this twin prime-related sequence known?

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#reference-request #prime-numbers #factorial #twin-primes
106
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Is this a known factorial approximation?

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#factorial
238
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prime of the form $n!-(n+1)^9$?

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#elementary-number-theory #prime-numbers #factorial
105
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$\frac{a_1 + 1}{2} \cdot \frac{a_2 + 2}{2} \cdot \frac{a_3 + 3}{2} \cdot \frac{a_4 + 4}{2} \cdot \frac{a_5 + 5}{2} \cdot \frac{a_6 + 6}{2} > 6!.$

Published on
#algebra-precalculus #inequality #permutations #factorial
159
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What's wrong with this proof of $0! = 1$

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#taylor-expansion #factorial #fake-proofs
75
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Conditions for 'extraordinary' natural numbers

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#sequences-and-series #number-theory #elementary-number-theory #factorial #gamma-function
103
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Is this old news? $\sum_{i=1}^n \frac{i!}{p_i\#} \approx 1.240053652689\dots$

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#soft-question #factorial #constants #primorial
51
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"Partial" factorials

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#permutations #factorial #hamiltonian-path
93
Views

Nonnegative integer solutions to $(xy)!=x!y!$

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#elementary-number-theory #factorial
122
Views

Why is the limit of the factorial function divided by stirling's approximation the 12th root of e?

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#limits #factorial
15
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Subproblem of transformation to standard normal distribution from binomial distribution using$~x,n\gg0~$

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#derivatives #logarithms #systems-of-equations #approximation #factorial
137
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Conditional probability and independence using Bayes' rule and binomial expansion

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#probability #conditional-probability #factorial #binomial-theorem #bayes-theorem
143
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Solving $\lim_{n\to\infty}(\frac{(2n)!}{n^n\cdot n!})^{1/n}$

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#calculus #limits #definite-integrals #logarithms #factorial

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