# Jorge Miranda

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11013
bio website mat.uc.pt/~delfos/phpBB2/… location Almada, Portugal age 23 member for 4 years, 4 months seen 3 hours ago profile views 168

Hi! I'm a mathematics undergraduate student at IST in Lisbon.
Also, I'm now working on displaceability problems in symplectic toric manifolds.

 47 Software for drawing geometry diagrams 17 Is $\sin(n^k) ≠ (\sin n)^k$ in general? 9 Help remembering a Putnam Problem 8 For any $n$, is there a prime factor of $2^n-1$ which is not a factor of $2^m-1$ for $m < n$? 4 Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime

# 784 Reputation

 +10 For any $n$, is there a prime factor of $2^n-1$ which is not a factor of $2^m-1$ for $m < n$? +5 How to check if a polytope is a smooth Fano polytope? +10 Functions satisfying a given condition +10 Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime

# 1 Question

 6 How to check if a polytope is a smooth Fano polytope?

# 16 Tags

 34 number-theory × 5 8 primitive-divisors 17 trigonometry 8 prime-numbers 9 functional-equations 3 geometry × 3 9 contest-math 3 euclidean-geometry 8 group-theory × 2 3 real-analysis

# 17 Accounts

 Mathematics 784 rep 11013 MathOverflow 236 rep 138 Area 51 151 rep 3 Stack Overflow 101 rep 3 Meta Stack Exchange 101 rep 2