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calculation of an immensely large modulus

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#discrete-mathematics #modular-arithmetic #factorial
69
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Can we generalise this double sum identity?

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#summation #factorial
126
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Methods of evaluating $ \sum_{k=1}^\infty \frac{(m+k)!}{k!}\frac{1}{5^k}$?

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#calculus #sequences-and-series #factorial
238
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Binomial coefficient (7 choose 3)=Binomial coefficient (7 choose x)

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#binomial-coefficients #factorial
530
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Solve binomial coefficient equation

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#binomial-coefficients #problem-solving #factorial
83
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Can the finite series $\sum_{k=1}^K \bigg(\frac{(m+k)!}{k!}\bigg)^2\bigg(\frac{1}{5}\bigg)^{2k}$ be approximated or bounded?

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#real-analysis #calculus #sequences-and-series #factorial
190
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Nice Inequality $2^23^34^45^5\cdots n^n \leq \Big(n+1-(n!)^{\frac{1}{n}}\Big)^{(n(n+1))0.5}$

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#inequality #factorial
228
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Prove that $(an+bm)!$ is divisible by $m!.n!$

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#elementary-number-theory #divisibility #factorial
1.3k
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Factorial Digits Sum

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#factorial #decimal-expansion
433
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Finding the sum of digits of a large number

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#elementary-number-theory #factorial
103
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Proof of closed-form solution of the difference of two factorial series

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#sequences-and-series #factorial #hypergeometric-function
58
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Inequality with factorial

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#multivariable-calculus #inequality #factorial
180
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$n\underset{17 \text{ times}}{\underbrace{!!!\dots!}}<1025\underset{65 \text{ times}}{\underbrace{!!!\dots!}}$

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#elementary-number-theory #inequality #factorial
201
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Interpretation of a version of the Binomial Coefficient with double factorial

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#combinatorics #binomial-coefficients #factorial #gamma-function
126
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If $m>n$, is $(m!)^n or\ (n!)^m$?

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#inequality #exponentiation #factorial

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