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multiplicative-order

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For S(f) = { n : rad(n) divides f(n) }, entire congruence classes of primes divide no element at all: none of S(sigma*_2) is divisible by a prime 3 mod 4, none of S(Phi_3) by a prime 2 mod 3. Also: exactly 1/4 of triples of primes 3 mod 4 are realizable in S(sigma*), against no pair.

  • Updated Sep 6, 2026
  • Python

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