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Most questions on number theory, divisibility, primes, Euclidean algorithm, Fermat`s theorem, Wilson`s theorem, factorisation, euclidean algorithm, diophantine equations, Chinese remainder theorem, group theory, congruences, continued fractions.
Teacher of math for 50 years
ATL
Journal of mathematics and its applications
BSc Hons Liverpool
State Scholarship 1955
I taught John Birt, former Director of the BBC in 1961. His homework book was the most perfect I have ever marked. And also the most neat. I could tell he was destined for great things. One of my classmates was the poet Roger McGough, and I have a mention in his autobiography.
The variety, and the fact that everyone can participate. Anyone could discover a new largest prime number by joining the Mersenne prime project, using their computer off-line in the background to do masses of calculations.
I would love to have enough knowledge to completely understand Andrew Wiles's proof of Fermat's last theorem.
Secure encrypted messaging can be dependent on the difficulty of factorising the product of two large prime numbers.
Does the beauty I find in number theory demand a divine creator for the Universe?
| User | Date | K | C | T | P | Comments |
|---|---|---|---|---|---|---|
| Michael | 11/20/09 | 10 | 10 | 10 | 10 | |
| Asad | 11/16/09 | 10 | 10 | 10 | 10 | Thanks |
| Asad | 11/09/09 | 10 | 10 | 10 | 10 | Thanks |
| Skrosuri | 11/09/09 | 10 | 10 | 10 | 10 | Wow. Thanks a lot, and lots of ..... |
| Asad | 11/09/09 | 10 | 10 | 10 | 10 | Thanks |
Hello Kevin This question is really about the factor theorem. Do you remember it? A polynomial p(x) has the factor (x-a) iff p(x) = 0 has a root x = a. Now, a polynomial of the form p(x) = a^(2k+1)
Hello Asad I hope these aren't homework problems. It's OK if you have managed to do 1 to 18 yourself. 19. You need to multiply out N and D to get (x^2+3x+2)/(x^2-3x+2) Then use the quotient rule to
Hello Asad These aren't problems but routine examples. I suspect you haven't studied worked examples of the techniques. OK that's the lecture over. 2. The method here is to divide N and D by x^2.
Hello Asad You don't say what to differentiate with respect to, but I shall assume it is x. 9. (1/a)(2x/b - 2/a + d/x^2). It is arguable what the simplest expression is here. It may be 2x/(ab)
Hello George You have left it late. Why didn't you query days ago. It is past midnight here in the UK and though I can answer all your questions, I don't have time. So I'll give you half an hour

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