13. Pier Fermat (1601 – 1665) conjectured that any number F, of the form 2²" + 1 where n is nonnegative integer, is prime number. These numbers are called Fermat numbers in his honor. a) Find the values of F, for n= 0, 1, 2, 3, 4. b) In about 1750, another mathematician, Leonard Euler, showed that this number of Fg is the product of 641and another integer (both of which are prime). Find this another integer.

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Q: See image

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Q: b. Prove that the integer 359,240,758 cannot be a perfect quartic. (i.e. fourth power) The 758 ppose

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Q: Prove: If x is a positive prime integer, then x+7 is a composite integer. (i.e., not prime)

A: See solution below

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A: This question is related to Number Theory. We solve the result by contradiction.

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Q: -ん 2 kodd

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A: Hello thankyou for the question. According to our honor code can answer only three sub parts at a…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.