Can I have a bit of blackwood instead?Quote:
Originally Posted by Greg Ward
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Can I have a bit of blackwood instead?Quote:
Originally Posted by Greg Ward
You just got out your book of 'prime numbers' and multiplied them individually x 199 until you got a number that consisted of a series of sevens.
Greg
explain away wongo.
Let the number be 77777….77777
Now rewrite the number to
7 +
70 +
700 +
7 * 10^3 +
7 * 10^4 +
.
.
.
7 * 10^n
knowing
7 / 199 , remainder = 7
70 / 199, remainder = 70
700 / 199, remainder = 103
7000 / 199, remainder = 103 * 10 = 1030 and 1030 / 199, remainder = 35
7 * 10^4 / 199, remainder = 35 * 10 = 350 and 350 / 199, remainder = 151
.
.
.
and so on.
If 77777….77777 is divisible by 199 then the sum of the remainders must be divisible by 199 too.
hence remainder of (7 + 70 + 103 + 35 + 151 + ...) / 199 is 0
In Excel, the table shows remainder of each digit and the sums. The first sum that has 0 as remainder is the answer. See row 100.
I'm impressed!!!!!!!
Definately worth some blackwood.
Wait until I buy the paint.
Greg
all i can say is: your a genius. :clap2:
btw - whats a reminder? ( mathematically speaking)
Sorry dude, I have been missing the "a" all day. I was too excited. It should be remainder.:p
no worries - so its not some super secret conspiracy of the great mathematicians:rolleyes::DQuote:
Originally Posted by Wongo
You guys! I go away for the day and look what happens behind my back!!
You're all playing with sevens without me!:C
Although I don't think I could have played with them as good as Wongo.:rolleyes:
Tea lady, mathematics is a form of art.:D
Maybe you should change you signature to "smarty pants".