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visits member for 2 years, 7 months
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3h
comment What is the smallest positive integer that has never been mentioned?
Well yeah, we can't answer the real question. But that number still does not appear in the wikipedia list of numbers.
14h
comment Proof of a Combinatorial Summation
this question has been asked a ton of times before.
14h
comment Product of Divisors of some $n$ proof
you have to take the square root on both sides and use laws of exponents. But if you don't see that you might want to review some stuff.
14h
comment Example of graph pebbling number and significance
@dunka how do you propose we do that?
14h
comment Example of graph pebbling number and significance
What have you tried. Sometimes making sure you understand the question is an important step.
14h
comment Need Verification on a Modulus Proof
Oh yeah, my bad. Thank you
15h
comment GCD of 1: Prove set is Complete Residue System Proof
Yeah, I know, It is a good comment.
15h
comment GCD of 1: Prove set is Complete Residue System Proof
Well, what Bill Dubuque means is that if $jn\equiv kn \bmod m$ then $j\equiv k$. You can prove this using what I said, or you can use that since $m$ and $n$ are relatively prime $n$ has a multiplicative inverse $n'$. So $jn\equiv kn \implies jnn'\equiv knn'\implies j\equiv k \bmod m$
15h
comment GCD of 1: Prove set is Complete Residue System Proof
Well , then I guess that's that, if you have any questions about the working of the proof I'd be happy to answer.
15h
comment GCD of 1: Prove set is Complete Residue System Proof
Well, I assume the point of proving this is that you understand it, do you think it is a proof? What could be a hole in the argument?
16h
comment A starting lineup consists of 2 forwards, 2 guards and 1 center. How many different starting lineups..
Yes. It is correct.
16h
comment fourth grade math
Yeah, that's correct. Thank you.
16h
comment A starting lineup consists of 2 forwards, 2 guards and 1 center. How many different starting lineups..
How many players can be centers?
16h
comment fourth grade math
How many projects are there?
16h
comment Prove elements of a set are not uniquely representable.
Yes, I meant $m$
16h
comment Prove elements of a set are not uniquely representable.
Well,if $m=2^nd$ with $d$ odd then there are many ways to write $d$ as a product of $n$ natural numbers unless $d$ is primes(The number of ways to do so is equivalent to using stars and bars for each of the distinct primes). So let $d=d_1d_2\dots d_n$. Then $2d_1\times 2d_2\times \dots \times 2d_n$ is a decomposition of $m$ into even primes.
17h
comment Prove elements of a set are not uniquely representable.
Oh, that's not what you wrote initially, here is an example: $100=10*10=2*50$
17h
comment Is the solution to this elementary number theory problem correct?
I wrote a full solution.
17h
comment Prove elements of a set are not uniquely representable.
Oh ok, I thought you only allowed for exactly two factors. What exactly do you want? We already proved many numbers are can be expressed in more than one way.
17h
comment Prove elements of a set are not uniquely representable.
$8*7$ isn't a valid representation, the two valid representations are $4\times 14$ and $28\times 2$