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Lotto 5/26 [ 26 5-Digits Each ] 65,780 to 1

Lotto 5/30 [ 30 5-Digits Each ] 142,506 to 1

Lotto 5/31 [ 31 5-Digits Each ] 169,911 to 1

Lotto 5/34 [ 34 5-Digits Each ] 278,256 to 1

Lotto 5/35 [ 35 5-Digits Each ] 324,632 to 1

Lotto 5/36 [ 36 5-Digits Each ] 376,992 to 1

Lotto 5/37 [ 37 5-Digits Each ] 435,897 to 1

Lotto 5/38 [ 38 5-Digits Each ] 501,942 to 1

Lotto 5/39 [ 39 5-Digits Each ] 575,757 to 1

Lotto 6/25 [ 25 6-Digits Each ] 177,100 to 1

Lotto 6/33 [ 33 6-Digits Each ] 1,107,568 to 1

Lotto 6/36 [ 36 6-Digits Each ] 1,947,792 to 1

Lotto 6/39 [ 39 6-Digits Each ] 3,262,623 to 1

Lotto 6/40 [ 40 6-Digits Each ] 3,838,380 to 1

Lotto 6/41 [ 41 6-Digits Each ] 4,496,388 to 1

Lotto 6/42 [ 42 6-Digits Each ] 5,245,786 to 1

Lotto 6/44 [ 44 6-Digits Each ] 7,059,052 to 1

Lotto 6/46 [ 46 6-Digits Each ] 9,366,832 to 1

Lotto 6/47 [ 47 6-Digits Each ] 10,737,573 to 1

Lotto 6/48 [ 48 6-Digits Each ] 12,271,512 to 1

Lotto 6/49 [ 49 6-Digits Each ] 13,983,816 to 1

Lotto 6/50 [ 50 6-Digits Each ] 15,890,700 to 1

Lotto 6/51 [ 51 6-Digits Each ] 18,000,000 to 1

Lotto 6/54 [ 54 6-Digits Each ] 25,828,165 to 1

Lotto 6/59 [ 59 6-Digits Each ] 45,057,474 to 1

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**Organizations**

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
**Publications**

Journal of mathematics and its applications
M500 magazine**Education/Credentials**

BSc (Hons) Liverpool (Science). BA (Hons) OU (Mathematics)**Awards and Honors**

State Scholarship 1955
Highest Score in Yorkshire on OU course MST209 £50 prize
First class honours in OU BA Mathematics**Past/Present Clients**

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.