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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 53 years

AQA Doncaster Bridge Club Danum Strings Orchestra Doncaster Conservative Club Danum Strings Orchestra Simply Voices Choir Doncaster TNS mystery shopping St Paul's Music Group Cantley

Journal of mathematics and its applications M500 magazine

BSc (Hons) Liverpool (Science). BA (Hons) OU (Mathematics)

State Scholarship 1955 Highest Score in Yorkshire on OU course MST209 £50 prize First class honours in OU BA Mathematics

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 | P | Comments |
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Kenneth | 01/09/17 | 10 | 10 | 10 | Thank you for the reply and for ..... |

Kenneth | 01/04/17 | 10 | 10 | 10 | Thank you for your reply! |

Isabel | 12/05/16 | 10 | 10 | 10 | Thank you very much :) |

Isabel | 12/04/16 | 10 | 10 | 10 | I was so obsessed with changing the ..... |

Kenneth | 10/01/16 | 10 | 10 | 10 | Thanks for the great reply! Yes, it ..... |

Hello Kenneth I misunderstood your question. It is the number of gallons that is the dependent variable which is directly proportional to the number of miles and to the number of trips. g = kmt, so

Hello Kenneth I agree with your calculation of k. But miles per gallon was not one of the variables. Clearly if you increase the number of miles per gallon, you decrease gallons per trip, so these are

Hello Isabel You are given that ABC is a straight line. There are two similar triangles in the figure. Calling the heights of the three, x,y and z, where x>y>z, then using the similar triangles gives

Hello Isabel It can't. When you have irrationals in the denominator, the trick is to multiply Numerator and denominator by the surd conjugate of the denominator. In this case it is √(7r-3) + √

Hello Kenneth The amount of work done, w, is proportional to the number of men, m, the hours per day, h, and the number of days. So w = kmhd substituting gives w = k*24*8*15 = 2880k Now the same w