1,326 reputation
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bio website math.ubc.ca/~bennett
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visits member for 1 year, 11 months
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2d
answered Does $p_{1}^x + p_{2}^y = n$ have uniqe solution for $x$ and $y$ ($p_{1}, p_{2}$ are primes).
2d
comment Does $p_{1}^x + p_{2}^y = n$ have uniqe solution for $x$ and $y$ ($p_{1}, p_{2}$ are primes).
How about $2^3+3=2+3^2$? The conclusion that $p \equiv 1 \mod{q}$ and $q \equiv 1 \mod{p}$ does not follow
Nov
29
answered Approximate irrational numbers with the same denominator
Nov
23
answered Solve $3^a-5^b=2$ for integers a and b.
Oct
23
comment Integral solutions of $x^5-27y^3=2x$
What is your motivation for studying this?
Oct
4
awarded  Mortarboard
Sep
25
answered Is there any infinite set of primes for which membership can be decided quickly?
Sep
9
comment Finding every triplet $(n,a,b)$ such that $n!=2^a-2^b$
Ummm, if $r$ is a primitive root mod $p^2$, then $r$ is a primitive root mod $p^k$ for all $k$. Luck is not involved…
Sep
6
comment Finding every triplet $(n,a,b)$ such that $n!=2^a-2^b$
$2$ is a primitive root modulo $9$ and hence modulo $3^k$ for all $k$.
Sep
5
answered Finding every triplet $(n,a,b)$ such that $n!=2^a-2^b$
Sep
4
answered On some inequalities which are an generalization of F. Beukers' corresponding results
Aug
2
comment How to prove $~(c - b) ^ 2 + 3cb = x^3~$ has no nonzero integer solutions?
If, say, $c=1, b=-1$ and $x=1$, we have a solution to (2).
Jun
26
comment How to find the minimum value of $|5^{4m+3}-n^2 |$
The minimum is indeed $275$ but I do not see a short, mathematics-free way to prove this….
May
9
comment Find all real $x$ ,such $8x^3-20$ and $2x^5-2$ is perfect square
Are you really offering a bounty for a problem whose solution is in the comments?
May
9
comment Infinitely many perfect squares
That doesn't affect the genus. Just multiply the equation by $(A 2^{n_0})^2$ to get a new equation of the shape $Y^2=X^3+C$ with $C=(A 2^{n_0})^2 B$.
May
7
comment Find all real $x$ ,such $8x^3-20$ and $2x^5-2$ is perfect square
Plugging f:=EllipticCurve([0,-20]); followed by IntegralPoints(f); into Magma ensures that the solution Robert found is the only one (i.e. $x=3$).
May
7
answered Infinitely many perfect squares
May
2
awarded  Nice Answer
Jan
23
awarded  Yearling
Dec
17
answered How find this equation $n!+(n+1)!+\cdots+(n+m)!=a^b$ all solutions