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m. m. m.
Posts:
107
Registered:
11/28/11
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How a number may be visible by 17^2 and not 17.
Posted:
Jul 6, 2012 11:58 PM
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17 is a prime number and when we state 17^2 this also means 17*17 or
the same as when we say seventeen squared. Consider the integer 17^2
to be represented by the letter variable p2 and the number 17 to
represented by the variables p1 or just p. Obviously then p is prime
and p1 is prime but p2 is composite. Now imagine another larger
composite number q where p^2 or p1^2 is part of the factorization of q
is reducible to p^n as the largest prime factor of the large composite
q. Now, since if we are obeying the laws of computation and orders of
operation it is entirely feasible for large composite q/p^n = p when p
is a prime factor and p^n is a prime number to a composite power. But
once we take large composite number q and divide it by p^n or p^2 this
may be the entire large prime factor base 17 to an exponent removed
from the factoring. This is to say if we took out all the 17's by
dividing q by p^n then labeled the resulting smaller composite m
(where m is another composite < q), then we have q/p^n=m where m is
not divisible by p, but where q was divisible by p^n, but no longer
has factor p once the division takes place and large composite q
becomes a composite < q represented by variable m.
M u s a t o v
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