### Questions (5)

 2 $m \mid n$ if and only if $R_m \mid R_n$ 1 Suppose a two digit whole number is divided by the sum of its digits, largest and smallest possible values 1 How to make precise how many numbers have a small factor and how many numbers have a factor near their root? 1 Relationship between Frobenius homomorphism and legendre symbol for $K/\mathbb{Q}$ a quadratic extension 0 $\displaystyle\sum_{k\geq 0}^{} \binom{n}{2k} = \sum_{k \geq 0}^{} \binom{n}{2k+1}$ [duplicate]

### Reputation (55)

 +10 Suppose a two digit whole number is divided by the sum of its digits, largest and smallest possible values +20 $m \mid n$ if and only if $R_m \mid R_n$ +10 How to make precise how many numbers have a small factor and how many numbers have a factor near their root? +10 Relationship between Frobenius homomorphism and legendre symbol for $K/\mathbb{Q}$ a quadratic extension

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### Tags (10)

 0 elementary-number-theory × 2 0 binomial-coefficients 0 linear-programming 0 algebraic-number-theory 0 optimization 0 integers 0 puzzle 0 factoring 0 combinatorics 0 divisibility

### Account (1)

 Mathematics 55 rep 44 bronze badges