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Solve the equation in positive integers $k^m+m^n=kmn$

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#number-theory #elementary-number-theory #diophantine-equations #integers
44
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Need Help Understanding Example of Integer Sequence A007178

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#sequences-and-series #combinatorics #integers
98
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Prove that: $\frac{(n+0)!}{0!}+\frac{(n+1)!}{1!}+...+\frac{(n+n)!}{n!}=\frac{(2n+1)!}{(n+1)!}$

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#combinatorics #binomial-coefficients #integers
51
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Pascal's triangle shows the factors of a row n.

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#binomial-coefficients #factoring #integers
161
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Prove that $a_1!\cdots a_k! < n!$ whenever $a_1+\cdots+a_k < n$

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#discrete-mathematics #inequality #integers
198
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How one should approach a problem involving alteration in digits of integers

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#number-theory #elementary-number-theory #problem-solving #integers #decimal-expansion
85
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Pollard's p-1 - correct way to build M

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#number-theory #factoring #integers #cryptography
1.7k
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Find integer values of $m$ and $n$ (see description)

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#logarithms #integers
1k
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Cool riddle involving integer vectors

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#vectors #puzzle #integers
394
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The $2n$-digit number divisible by the product of two numbers within itself

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#number-theory #divisibility #integers
44
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polynomial annihilators of finite rings - proof generalization sought

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#finite-fields #integers #mobius-function
421
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Lattice vectors and modular arithmetic

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#number-theory #elementary-number-theory #modular-arithmetic #integers #integer-lattices
2k
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Integer partitions: number of even parts

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#combinatorics #integers #integer-partitions
174
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Generating function for partitions into parts

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#generating-functions #integers #integer-partitions
35
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Generating functions (parts equal to $2$)

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#combinatorics #integers #integer-partitions

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