Pierre de Fermat (16011665) conjectured that the function f(x) = 2(2) + 1
Question:
for x = 1, 2, 3, ... , would always have a value equal to a prime number. But Leonhard Euler (1707-1783) showed that this formula fails for x = 5. Use a calculator to determine the prime numbers produced by f for x = 1, 2, 3, 4. Then show that f(S) = 641 Ã 6,700,417, which is not prime.
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f(x) = 2(2") + 1
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x 2 2 1 1 1 2 1 2 1 415 2 ...View the full answer
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