Another Day of the Week Problem
Today is Saturday. What day of the week will be 221^77933 days from now?
^_^
2006-08-26 00:52:16 · 5 answers · asked by kevin! 5 in Science & Mathematics ➔ Mathematics
221^1=221 will give remainder of 4 when divided by 7
221^2=48841 will give remainder 2 when divided by 7
221^3=10793861 will give remainder 1 when divided by 7
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221^4=2385443281 will give remainder 4 when divided by 7
221^5=527182965101 will give remainder 2 when divivded by 7
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Thus you can see that the remainders get repeated in the order 4,2,1,4,2,1 etc...
77933 modulus 3 = 2
So 221^77933 when divided by 7 gives remainder corresponding to remainders for 221^2, 221^5 ,221^8 etc i.e REMAINDER=2
Therefore, the day will be satuday+2=MONDAY
2006-08-27 23:58:42 · answer #1 · answered by Truth Seeker 3 · 0⤊ 0⤋
Write a program. I recommend Python for this one, since it can handle very large numbers.
I also recommend a fast computer.
The short answer: It will be no day of the week, because the week will not exist after the Sun has turned into a white dwarf.
Incidentally (thank you, Python) 221 to the power of 77933 is a number 182,706 characters long in decimal.
2006-08-26 08:20:39 · answer #2 · answered by poorcocoboiboi 6 · 0⤊ 0⤋
monday
2006-08-26 07:57:13 · answer #3 · answered by [Tsuniper-X] 5 · 0⤊ 0⤋
hump day, wednesday
2006-08-26 07:59:01 · answer #4 · answered by Anonymous · 0⤊ 0⤋
do me a favor mate...........DO D MATH OR FIND A ******* CALENDER VN U'RE DONE CALCULATING!!!
2006-08-26 08:10:24 · answer #5 · answered by mortal_sinner 3 · 0⤊ 0⤋