Number Theory Flashcards
Classified numbers as deficient, perfect and abundant
Nicomachus de Gerasa (this idea was generalized to amicable no.)
who dicovered the pair of amicable no.s 220,284
the greeks
1st mathematician to discover a formula for obtaining pairs of amicable no.s
Thabit ibn Qurra
On the Determination of Amicable no.s
Thabit ibn Qurra
10 propositions in no. theory including problem of the construction of ‘amicable’ no.s
in which book did thabit ibn qurra describe euler’ rule for perfect no.s and gave his theorem
On the calculation of amicable no.s
Who found the second pair 18,416
Ibn al Banna (in Marakech) and Kamaladdin al farisi (in Baghdad)
to who was the second pair (18,416) attributed to
French Mathematician Pierre de Fermat
to whom was the 3rd pair attributed to 9,363,584 and 9,437,056
Rene Descartes
who found the 3rd pair 9,363,584 and 9,437,056
Baqir Yazdi - 16th cent.
who gave the 2nd smallest pair of amicable numbers 1184,1210
Italian teenager mathematician Nicolo Paganini
who generalized thabit’s rule
euler- swiss mathematician
which 3 formulas did ibn al haythm contribute
- sum formula of 4th power (used to find volume of parabloid)
- formula to add 100 natural numbers and he proved it using geometry
- characterization of prime numbers and modern wilson’s theorem
who proved wilson’s theorem
french mathematician Joseph-Louis Lagrange- 18th cent.
