Republic of Mathematics blog

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Catalan pseudo-primes

Posted by: Gary Ernest Davis on: May 16, 2011

Catalan pseudoprimes As a special case of Fermat’s little theorem, if is an odd prime number then is divisible by , or, in the language of congruences, . The converse of this is not true: if where is a positive integer, it does not follow that is prime. For example could be . There are […]

Should we jettison the one size fits all math curriculum?

Posted by: Gary Ernest Davis on: May 12, 2011

I will address college and university mathematics and not – yet – school mathematics. The nature of the school mathematics curriculum, K-16 – is a major issue that needs urgent re-vamping, but today I want to focus on tertiary mathematics. I want to focus on a report from the Times Higher Education supplement that was […]