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1. Which values of m and n give the Pythagorean triple (24,70, 74)? Show your solution. a) m=7andn=5 c) m=8andn=5 b) m=7 and n = 6 d) m=8and n=7 4. Find all positive integers n such that cach ol the numbers: n 1 n +3 +7 n+9 n+ 13 n+ 15 is a prime. Show your solution. 5. Given this magie square: 5 67 13 59 53 19 61 11 79 17 47 1 7 41 23 73 a) What kind of numbers are in the cells ? b) What is the sum per column, row and diagonal , c) What is the sum of all the numbers it: the cells ? d) What other sets of four cells give the same sum as one row column or diagonal" e) Using the same 16 prime numbers, form another magie 4-bv-4 square which IS neither reflection or rotation of the magic square above.

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