What integer shows that $$exists the definition of perfect numbers in the video) x:left(Perfectleft(x ight)wedgeleft(20 is...
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What integer shows that $$\exists the definition of perfect numbers in the video) x\:\left(Perfect\left(x\right)\wedge\left(20 is true? (Note: you can find Proofs of Existential Statements • To prove that 3x Q(x) is true, you just have to find such an x in the domain ("witness") "Perfect" number: a number that is equal to the sum of its proper divisors (e.g. 6 = 1 + 2 + 3, 28 = 1+2+4+7+ 14) • Prove that there exists a 4 digit perfect number - Check with SAGEMath: divisors() and sum() -EC: prove that if 2" - 1 is prime, then 2-1(2n-1) is a perfect number n = 7. 2² (2²-1) = 818 is perfect · What integer shows that $$\exists the definition of perfect numbers in the video) x\:\left(Perfect\left(x\right)\wedge\left(20 is true? (Note: you can find Proofs of Existential Statements • To prove that 3x Q(x) is true, you just have to find such an x in the domain ("witness") "Perfect" number: a number that is equal to the sum of its proper divisors (e.g. 6 = 1 + 2 + 3, 28 = 1+2+4+7+ 14) • Prove that there exists a 4 digit perfect number - Check with SAGEMath: divisors() and sum() -EC: prove that if 2" - 1 is prime, then 2-1(2n-1) is a perfect number n = 7. 2² (2²-1) = 818 is perfect ·
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History of Perfect Number It is not known when Perfect Numbers were first discovered or when they we... View the full answer
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