3.3 For any n € N, let o(n) be the sum of the divisors of n; for example, o(6)=1+2+3+ 6 = 12 and o(10) = 1+2+5+ 10 = 18. Suppose that n = pqr with p, q, and r distinct primes. Devise an "efficient" algorithm that given n, (n) and o(n), computes the factorization of n. For example, if n = 105, then p = 3, q = 5, and r = 7, so the input to the algorithm would be n = 105, (n) = 48, and σ(n) 192, =

Computer Networking: A Top-Down Approach (7th Edition)
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3.3 For any n € N, let o(n) be the sum of the divisors of n; for example,
o(6)=1+2+3+ 6 = 12 and o(10) = 1 +2 +5+ 10 = 18. Suppose
that n = pqr with p, q, and r distinct primes. Devise an "efficient"
algorithm that given n, (n) and o(n), computes the factorization
of n. For example, if n = 105, then p = 3, q = 5, and r = 7, so the
input to the algorithm would be
n = 105,
(n) = 48,
and the output would be 3, 5, and 7.
and σ(n) 192,
=
Transcribed Image Text:3.3 For any n € N, let o(n) be the sum of the divisors of n; for example, o(6)=1+2+3+ 6 = 12 and o(10) = 1 +2 +5+ 10 = 18. Suppose that n = pqr with p, q, and r distinct primes. Devise an "efficient" algorithm that given n, (n) and o(n), computes the factorization of n. For example, if n = 105, then p = 3, q = 5, and r = 7, so the input to the algorithm would be n = 105, (n) = 48, and the output would be 3, 5, and 7. and σ(n) 192, =
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