65 Examples of common false beliefs in mathematics 54 What's your favorite equation, formula, identity or inequality? 18 Extending $\Bbb N$ to a semiring with isomorphic additive and multiplicative structure 12 Associative mean 11 A naive diophantine approximation question

### Reputation (2,090)

 +30 Asympotic density of a very simple sequence +80 Positive integers written as $\binom{w}2+\binom{x}4+\binom{y}6+\binom{z}8$ with $w,x,y,z\in\{2,3,\ldots\}$ +10 Product of arithmetic progressions +10 $n$th root of $(a,b) \mapsto (\operatorname{gm}, \operatorname{am})$

### Questions (12)

 40 1 rectangle <= 4 squares 18 Splitting Pythagorean triples 14 Are all well behaved “mean” functions on $\mathbb{R}^+$ equivalent? 7 Can integers be distorted to make primes more regular? 6 Asympotic density of a very simple sequence

### Tags (57)

 56 nt.number-theory × 15 18 ra.rings-and-algebras 26 co.combinatorics × 8 16 mg.metric-geometry × 6 18 semigroups-and-monoids 13 inequalities × 7 18 extension 12 linear-orders 18 semirings 12 order-theory

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