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Old 2003-09-22, 20:06   #1
ixfd64
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"Danny"
Dec 2002
California

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Talking some prime-related trick questions

Bored? Give these tests to your friends! :D

1. Some natural numbers have two factors. Some have three, some have four, and so on. How many have one factor?

2. Before 26,972,593 - 1 was discovered, what was the largest Mersenne prime whose exponent was less than 10 million?

3. Find the factors of the prime number 213,466,917 -1.

4. (This one's sorta dumb.) You want to do some math work with Prime95, MFAC (for double-Mersenne numbers), and Proth.exe (for Proth and other primes), but you only want one program to be running at once. Which do you load first?



















Answers:

1. All of them. Every natural number has at least one factor. Notice how I didn't use the word "exactly"?

2. 26,972,593 - 1. It was always there, even before it is discovered.

3. 1 and 213,466,917 - 1. Notice the word "prime".

4. Your computer.
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Old 2003-09-23, 12:42   #2
cheesehead
 
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"Richard B. Woods"
Aug 2002
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G...r...o...a...n...!
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Old 2003-09-23, 12:53   #3
eepiccolo
 
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Dec 2002
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On a more serious note, would this have been better to post in the solved puzzles section, because technically, the solution has already been given?
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