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Mathematics 6 Online
OpenStudy (anonymous):

How many numbers from 1 to 1 million are not perfect squares or perfect cubes?

OpenStudy (akshay_budhkar):

difficult one

OpenStudy (anonymous):

is there an equation to solve this?

OpenStudy (anonymous):

I'm actually interested

OpenStudy (anonymous):

less than a million. More than just one. :P

OpenStudy (akshay_budhkar):

lol

OpenStudy (anonymous):

I Shall figure it out !

OpenStudy (akshay_budhkar):

you asking this for fun right?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

998,910

OpenStudy (akshay_budhkar):

OMG!

OpenStudy (anonymous):

1 mill - 1100 +10

OpenStudy (anonymous):

u are right answer is 998910

OpenStudy (anonymous):

for every integer from 1 to 1000 there is an n^2 less than 1,000,000. Therefore, there are 1000 perfect squares for every integer from 1 to 100 there is an n^3 less than 1,000,000. Therefore, there are 100 perfect cubes. there are 10 perfect squares that are also perfect cubes. 1^6, 2^6, 3^6...to 10^6. Thus there are 1000+100-10=1090 distinct numbers that are perfect squares and perfect cubes. Thus there are 998910 numbers not perfect squares or cubes

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