# Jose Arnaldo Dris

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bio website arnienumbers.blogspot.com location Makati City, Philippines age 34 member for 2 years, 8 months seen 15 hours ago profile views 603

You can ask me anything, but I can't promise that I will be able to answer everything.

Research interests: Elementary number theory, odd perfect numbers, almost perfect numbers

# 52 Questions

 5 What relationship(s) [if any] exist between primorial primes and palindromic primes? 5 A question on Paul Erdős's research on Egyptian fractions 4 Does $1 + \frac{1}{x} + \sqrt{\frac{2x}{x + 1}},$ have a global minimum? 4 On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$ 4 A question about odd perfect numbers

# 787 Reputation

 +5 Improving the bound $q < n\sqrt{3}$ for an odd perfect number $N = {q^k}{n^2}$ given in Eulerian form +5 Prove a property of the divisor function (Part 2) +2 Stuck in finding an alternative to finding the hypotenuse of a right triangle (using Dickson's method) +2 Prove that $\frac{1}{x(1-y)} +\frac{1}{y(1-z)} +\frac{1}{z(1-x)} \ge \frac{3}{xyz+(1-x)(1-y)(1-z)}$

 3 Could the Riemann hypothesis be provably unprovable? 2 Equal multiples of a nonzero vector implies equal factors 2 Inequality problem involving QM-AM-GM-HM or Cauchy Schwarz inequality 2 Given $n \sim r \iff n \equiv r \pmod d$, prove $\sim$ is an equivalence relation. 2 If $\frac{[x_n]^n [1-[x_n]^n]}{(1-x_n) n} = a$, is $[x_n]^n$ increasing for $n\geq 3$?

# 69 Tags

 8 algebra-precalculus × 12 2 real-analysis × 2 5 inequality × 25 2 trigonometry × 2 3 sequences-and-series × 3 2 roots 3 logic × 2 2 linear-algebra 2 calculus × 8 2 convergence

# 2 Accounts

 Mathematics 787 rep 314 MathOverflow 218 rep 217