This is a preview. Log in through your library . Abstract Carmichael's conjecture states that if φ(x) = n, then φ(y) = n for some y ≠ x (φ is Euler's totient function). We show that the conjecture is ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

It's an irrational number that begins with 2.71828 Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall ...

The decimal digits of the mathematical constant pi, 3.14159265. . ., ring out an intricate melody that sounds vaguely medieval. Those of the constant e, 2.718281828. . ., progress at a relentless, ...

Euler's identity: Math geeks extol its beauty, even finding in it hints of a myste­rious connected­ness in the universe. It's on tank tops and coffee mugs. Aliens, apparently, carve it into crop ...

Mathematics is full of numbers that seem to keep popping up out of nowhere. Take pi, for instance, which appears in pretty much everything. Here's another one: Euler's constant. Also called the ...