Reputation
849
Next privilege 1,000 Rep.
Create new tags
Badges
7 13
Newest
 Yearling
Impact
~52k people reached

Mar
24
answered Number of integer solutions $(x, y)$ of $x(x+6) = y^2 + k$ for different integer values of $k$
Mar
22
comment Mathematicians shocked(?) to find pattern in prime numbers
This question brings together two things which don't have to go together: properties of primes, and properties of integers modulo 10. It may be helpful to ask the following simpler but related question: if a prime $>3$ is of the form $3n+1$, is it or is it not equally likely that the next larger prime is of the form $3n+1$ or $3n+2$? I suspect it is not equally likely, however large the numbers are, because if $3N+1$ is prime, the next possible prime - not divisible by 2 or 3 - is $3(N+1)+2$. This gives $3n+2$ an advantage which seems unlikely to be offset by other considerations.
Mar
18
answered For every positive integer $n$, $n^2 + n +19$ is prime
Mar
6
accepted Locus of Points $O$ such that $AO^3+BO^3=AB^3$
Mar
6
comment Locus of Points $O$ such that $AO^3+BO^3=AB^3$
Thank you, so as expected the point equidistant from A and B corresponding to $s=2^{1/3}$ is not constructible, but infinitely many other points can be constructed, the simplest having $s=3/2$ giving $a=(11/48)^{1/2}$.
Mar
2
asked Locus of Points $O$ such that $AO^3+BO^3=AB^3$
Feb
12
comment Find a thousand natural numbers such that their sum equals their product
@user230452 I've edited my answer to explain how the solution was found.
Feb
12
revised Find a thousand natural numbers such that their sum equals their product
To explain how solution found.
Feb
11
revised Find a thousand natural numbers such that their sum equals their product
Improve formatting
Feb
11
awarded  Yearling
Feb
11
answered Find a thousand natural numbers such that their sum equals their product
Sep
10
revised Integer pairs satisfying $(y-a)(y-b) = x^3$
Simplify reasoning to (2)
Sep
10
answered Integer pairs satisfying $(y-a)(y-b) = x^3$
May
30
awarded  Nice Answer
May
24
accepted If $X$ has a Poisson distribution with $E[X]=\lambda$, does $Var[X^2]=4\lambda^3+6\lambda^2+\lambda$?
May
22
comment If $X$ has a Poisson distribution with $E[X]=\lambda$, does $Var[X^2]=4\lambda^3+6\lambda^2+\lambda$?
It is helpful, thank you ... but it's also fair to note that the more concise answers by Clement C. and Jack D'Aurizio were posted first.
May
22
asked If $X$ has a Poisson distribution with $E[X]=\lambda$, does $Var[X^2]=4\lambda^3+6\lambda^2+\lambda$?
Mar
31
awarded  Necromancer
Jan
3
comment Congruence properties of $a^5+b^5+c^5+d^5+e^5=0$?
My answer, although accepted, contained an error, now corrected by adding a minus sign before $(c^5+d^5+e^5)$.
Jan
3
revised Congruence properties of $a^5+b^5+c^5+d^5+e^5=0$?
Correction to include missing minus sign.