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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#76 2014-06-21 07:34:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,385

Re: bases

Hm?


“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

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#77 2014-06-21 10:13:51

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

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.


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

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#78 2014-06-25 08:20:08

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

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}?


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

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#79 2014-06-25 11:03:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,538

Re: bases

Hi cooljackiec;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#80 2014-06-26 04:25:47

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

Re: bases

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

Find all positive integers n such that

.


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

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#81 2014-06-26 12:44:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,538

Re: bases

Hi cooljackiec;

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


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#82 2014-06-27 04:44:37

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

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


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

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