theory of equations

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Last updated 1:22 AM on 4/27/26
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5 Terms

1
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Number of divisors

  • Prime factorization paqbrc.....p^{a}q^{b}r^{c}.....

  • (a+1)(b+1)(c+1)....\left(a+1\right)\left(b+1\right)\left(c+1\right)....

2
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The number of primes is

Infinite

3
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Which of the following statements is not true?

6 and 32 are perfect numbers

4
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The number of integer less than n and prime to it when n = 729

486

5
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The Number of integers less than n and prime to it

  1. ϕ(n)=pk−pk−1\phi\left(n\right)=p^{k}-p^{k-1} (or)

  2. n(1−1p1)(1−1p2).....n\left(1-\frac{1}{p_1}\right)\left(1-\frac{1}{p_2}\right).....