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Dec
7
comment Max Euclidean Distance between two points in a set
True in all dimensions. It's the triangle inequality, true in any metric space.
Dec
7
answered Exercise of roots of a polynomial
Dec
7
comment Fixed points of a nonlinear system
How about finding the fixed points of a 33 percent accept rate?
Dec
7
answered Decomposing a subgroup
Dec
7
revised Decomposing a subgroup
730 -> 720
Dec
7
answered Planar and non-planar graphs, and Kuratowski's Theorem
Dec
6
comment Approaching Euler totient for arbitrary n
Sorry, I don't see what that has to do with my first comment on this question.
Dec
6
comment How to calculate Euler totient from nearby values?
You can rewrite $\phi((n-k)(n+k))$ as $\phi(n-k)\phi(n+k)$ only if you know that $\gcd(n-k,n+k)=1$.
Dec
6
revised A card is drawn from 52 cards. What is the probability that the second card is a face card?
incorporated question into body
Dec
6
answered Non-abelian Galois group
Dec
6
comment Approaching Euler totient for arbitrary n
Maybe so, but...what does that have to do with the topic at hand? Have you made a conjecture here? I don't see one.
Dec
6
comment Largest subset of { 0, 1, 2, …, n } that has no 3+ element arithmetic progressions?
I'm glad you found the link I posted. If there's no progression with 3 terms, then there's no progression with 3 or more terms.
Dec
6
comment Prime Arithmetic Progression with one fixed Element
For example: take $p=7$, so $A_7$ is the set of sequences of primes that include $7$. Well, $2,3,5,7,11,13,17,19,\dots$ is a sequence of primes that includes $7$, so it's in $A_7$, but it is of infinite length. Blows your problem right out of the water. Or maybe, just maybe, there are some concerns you have not yet addressed.
Dec
6
comment Prime Arithmetic Progression with one fixed Element
When you write, "Since there is no infinite arithmetic progression of primes...," that is the first place in the question where you mention arithmetic progressions. In particular, there is no mention of them in the definition of $A_p$. So how can the lack of infinite APs of primes have any effect on the sequences in $A_p$? This is what @DonAntonio pointed out, and what you have (repeatedly) failed to address.
Dec
6
comment Analogy between Linear Transformations & Matrices
Note that it is possible to have $T^2=0$ without having $T=0$. Among other things, this implies $\lambda$ could be zero.
Dec
6
revised Proving that this field extension is normal
amplification
Dec
6
comment What is this shortcut to determine primality?
I have edited in a link to the description at Wikipedia, but you could just type $$\rm Lucas\ Lehmer$$ into the internet and take your pick of places to look.
Dec
6
answered What is this shortcut to determine primality?
Dec
6
answered Linear Algebra 2 practice Exams
Dec
6
answered Another Ordered Quadruples Question