Suppose we have a huge positive integer. Call it n. We suspect that n is prime, but we want to prove it. How can we do this? O Use a computer in an attempt to find a set of primes {p1, p2, p3, ..., pk}, where k is some positive integer larger than 1, such that that n = p1 + p2 + p3 +...+ pk. If such a set can be found, thenn is prime. If no such set can be found, then n is not prime. O Use a computer in an attempt to find a set of primes {p1, p2, p3, ..., pk}, where k is some positive integer larger than 1, such that that n = p1 x p2 x p3 x...x pk. If such a set can be found, then n is prime. If no such set can be found, then n is not prime. O Use a computer to test every positive integer k such that 1 < k < n, and see if any of them divides n without a remainder. If any of them does, then n is prime. If none of them does, then n is not prime. O Use a computer to test every positive integer k such that 1 < k < n, and see if any of them divides n without a remainder. If any of them does, then n is not prime. If none of them does, then n is prime.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose we have a huge positive integer. Call it n. We suspect that n is prime, but we want to prove it. How can we do this?
O Use a computer in an attempt to find a set of primes {p1, p2, p3, ..., pk}, where k is some positive integer larger than 1, such that that n = p1 + p2 +
p3 +...+ pk. If such a set can be found, thenn is prime. If no such set can be found, then n is not prime.
O Use a computer in an attempt to find a set of primes {p1, p2, p3, ..., pk}, where k is some positive integer larger than 1, such that that n = p1 x p2 x
p3 x...x pk. If such a set can be found, then n is prime. If no such set can be found, then n is not prime.
O Use a computer to test every positive integer k such that 1 < k < n, and see if any of them divides n without a remainder. If any of them does, then n
is prime. If none of them does, then n is not prime.
O Use a computer to test every positive integer k such that 1 < k < n, and see if any of them divides n without a remainder. If any of them does, then n
is not prime. If none of them does, then n is prime.
Transcribed Image Text:Suppose we have a huge positive integer. Call it n. We suspect that n is prime, but we want to prove it. How can we do this? O Use a computer in an attempt to find a set of primes {p1, p2, p3, ..., pk}, where k is some positive integer larger than 1, such that that n = p1 + p2 + p3 +...+ pk. If such a set can be found, thenn is prime. If no such set can be found, then n is not prime. O Use a computer in an attempt to find a set of primes {p1, p2, p3, ..., pk}, where k is some positive integer larger than 1, such that that n = p1 x p2 x p3 x...x pk. If such a set can be found, then n is prime. If no such set can be found, then n is not prime. O Use a computer to test every positive integer k such that 1 < k < n, and see if any of them divides n without a remainder. If any of them does, then n is prime. If none of them does, then n is not prime. O Use a computer to test every positive integer k such that 1 < k < n, and see if any of them divides n without a remainder. If any of them does, then n is not prime. If none of them does, then n is prime.
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