Math Is Fun Forum

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: bases

Hm?

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

cooljackiec

Member

Registered: 2012-12-13

Posts: 186

Re: bases

Ok, so that 0.251 thing was correct. and the answer is 30 for the sum of the squares of the digit thing.

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I see you have graph paper.
You must be plotting something

cooljackiec

Member

Registered: 2012-12-13

Posts: 186

Re: bases

The harmonic mean of two positive numbers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers (x, y) with x < y is the harmonic mean equal to 6^{20}?

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I see you have graph paper.
You must be plotting something

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: bases

Hi cooljackiec;

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

cooljackiec

Member

Registered: 2012-12-13

Posts: 186

Re: bases

Thanks, this doesn't exactly relate to bases, but:

Find all positive integers n such that

.

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I see you have graph paper.
You must be plotting something

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: bases

Hi cooljackiec;

I have several different definitions of those operators, what is yours?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

cooljackiec

Member

Registered: 2012-12-13

Posts: 186

Re: bases

is the number of integers, less than or equal to n, that are relatively prime to n.

is the number of divisors of n

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I see you have graph paper.
You must be plotting something