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d to the right) and wrapping around tot e not relatively prime to 10 or to 9. Chec t function of n. Explain why this shows t

d to the right) and wrapping around tot e not relatively prime to 10 or to 9. Chec t function of n. Explain why this shows t

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Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper right corner, number the boxes consectively by stepping diagonally (down and to the right) and wrapping around to the opposite side of the grid whenever you reach a side. Then strike out the boxes containing numbers which are not relatively prime to 10 or to 9. Check that the boxes that remain can be regrouped into a p (10)xp (9) rectangular grid where p (n) is the Euler totient function of n. Explain why this shows that p is multiplicative in the 10x9 case.
Transcribed Image Text:Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper right corner, number the boxes consectively by stepping diagonally (down and to the right) and wrapping around to the opposite side of the grid whenever you reach a side. Then strike out the boxes containing numbers which are not relatively prime to 10 or to 9. Check that the boxes that remain can be regrouped into a p (10)xp (9) rectangular grid where p (n) is the Euler totient function of n. Explain why this shows that p is multiplicative in the 10x9 case.
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