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OpenStudy (goformit100):
@noided @tcarroll010
OpenStudy (goformit100):
@.Sam.
OpenStudy (asnaseer):
Hit: add 9 to this number
OpenStudy (anonymous):
that's gonnabe easy, just prove that there is a number apart from itself and 1 that can divide it
OpenStudy (asnaseer):
*Hint
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OpenStudy (goformit100):
ok
OpenStudy (asnaseer):
can you notice anything special about the resulting number?
OpenStudy (goformit100):
no, please help
OpenStudy (asnaseer):
what number do you get if you add 9 to your number?
OpenStudy (anonymous):
1997
2003
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OpenStudy (goformit100):
?
OpenStudy (anonymous):
you can divide the number by these two numbers
OpenStudy (anonymous):
and you'd get an integer value
OpenStudy (anonymous):
which means it is not a prime
OpenStudy (anonymous):
QED
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OpenStudy (anonymous):
is the goal of this site to actually give constructive info?
OpenStudy (asnaseer):
3999991 + 9 = 4000000 = 4 * 10^6
the resulting number is a perfect square - agreed?
OpenStudy (goformit100):
ok
OpenStudy (anonymous):
because if so, I'm sorry
OpenStudy (goformit100):
ok
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OpenStudy (goformit100):
I am fully agreed Now.
Thank you Sir
OpenStudy (asnaseer):
so then you have:
3999991 + 9 = 4 * 10^6
therefore:
3999991 = 4 * 10^6 - 9
the right-hand-side is a difference of two squares. this can always be factored. therefore 3999991 cannot be prime.
OpenStudy (anonymous):
ah that's what you were doing
interesting.
thanks!
OpenStudy (asnaseer):
yw :)
OpenStudy (goformit100):
Ok Thanks
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