Homework Math for Developers

1. Find the 24th, 101st and 251st prime number.
	89
	547
	1597

2. Check if the 24th, 101st and 251st prime numbers are part of the base Fibonacci number set. What is their position?
	F11
	no
	F17

3. Find 100!, 171! and 250! Give all digits.
	93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
	1241018070217667823424840524103103992616605577501693185388951803611996075221691752992751978120487585576464959501670387052809889858690710767331242032218484364310473577889968548278290754541561964852153468318044293239598173696899657235903947616152278558180061176365108428800000000000000000000000000000000000000000
	3232856260909107732320814552024368470994843717673780666747942427112823747555111209488817915371028199450928507353189432926730931712808990822791030279071281921676527240189264733218041186261006832925365133678939089569935713530175040513178760077247933065402339006164825552248819436572586057399222641254832982204849137721776650641276858807153128978777672951913990844377478702589172973255150283241787320658188482062478582659808848825548800000000000000000000000000000000000000000000000000000000000000

4. You are given three right angled triangles. Find the length of their hypotenuses.
	1.	Catheti: 3 and 4	==> 5
	2.	Catheti:  10 and 12	==> 2 * sqrt(61)
	3.	Catheti 100 and 250	==> 50 * sqrt (29)

5.
	Convert 1234d to binary and hexadecimal numeral systems.	==> 10011010010	and 4D2
	Convert 1100101b to decimal and hexadecimal numeral systems.	==> 101		and 65
	Convert ABChex to decimal and binary numeral systems.		==> 2748	and 101010111100

6. Find LCM(1234, 3456).
	2132352