1,034 reputation
816
bio website
location
age
visits member for 3 years, 4 months
seen Apr 3 at 18:27

Sep
26
asked Does this “extension property” for polynomial rings satisfy a universal property?
Aug
23
comment Prove that all even integers $n \neq 2^k$ are expressible as a sum of consecutive positive integers
$10 = 1 + 2 + 3 + 4$, $12 = 3 + 4 + 5$
Aug
16
comment Can a circle's circumference be divided into arbitrary number of equal parts using straight edge and compass only?
Very nice answer! +1
Aug
10
answered Is there a way to pick a $k$ such that $p_0p_1 + ik$ is always a product of two primes?
Aug
10
comment Is there a way to pick a $k$ such that $p_0p_1 + ik$ is always a product of two primes?
My point is that if $k \neq 0$, then $p_0p_1 + ik$ always has at least 3 prime factors for $i = p_0p_1$.
Aug
10
comment Is there a way to pick a $k$ such that $p_0p_1 + ik$ is always a product of two primes?
$p_0p_1+(p_0p_1)k = p_0p_1 (1 + k)$, no?
Jun
16
awarded  Enthusiast
Jun
11
accepted Combinatorial proof that binomial coefficients are given by alternating sums of squares?
Jun
11
comment Combinatorial proof that binomial coefficients are given by alternating sums of squares?
Very nice! (characters...)
Jun
11
asked Combinatorial proof that binomial coefficients are given by alternating sums of squares?
Feb
11
comment If a product of relatively prime integers is an $n$th power, then each is an $n$th power
Have you considered the prime factorizations of $a$, $b$, and $c$?
Feb
9
revised Can someone explain how this question is reduced using basic postulates
add info on p6b
Feb
9
answered Can someone explain how this question is reduced using basic postulates
Feb
8
comment No prime number between number and square of number
Bertrand's postulate guarantees the existence of a prime between $n$ and $2n$ for all integers $n > 1$. Therefore there are no non-trivial examples of the phenomenon you describe.
Jan
17
awarded  Nice Answer
Jan
16
awarded  Commentator
Jan
16
comment Why do we need to prove $e^{u+v} = e^ue^v$?
@bobobobo In that case, we have no a priori information about the function $e^x$, and we've got to establish its basic properties from the definition provided.
Jan
16
answered Why do we need to prove $e^{u+v} = e^ue^v$?
Jan
16
comment Why do we need to prove $e^{u+v} = e^ue^v$?
It's also quite common to define $ln(x)$ as the integral $\int_1^a \frac{1}{x} \, dx$, which might be the case here.
Jan
16
comment Why do we need to prove $e^{u+v} = e^ue^v$?
How is the function $e^x$ defined in the text?