mathstudent

less info
reputation
28
bio website location age member for 1 year, 11 months seen Feb 17 at 4:32 profile views 318

I am currently a 1st year Advanced Mathematics University Student. I very much appreciate all the kind people in the stack exchange community and thank you all in advance for sharing your knowledge and expertise with me.

65 Questions

 8 Prove that $n$ must be prime. 6 Let $F_n$ be a Fibonacci number and $p$ a prime. Verify that for $p \le 61$, if $p\equiv\pm1 \pmod{5}$ then $p\mid F_{p-1}$ 6 Show that $f'$ is not continuous at 0 for the following function: 4 $n$ is a positive integer and let $p$ be a prime divisor of $n^{54}+n^{27}+1$. Prove if $p \ne 3$ then $ord_p(n) = 81$ and $p \equiv 1 \pmod {81}$ 4 Find $\int x^{-n}(1-x)^{-1}\,dx.$

712 Reputation

 +20 Let $F_n$ be a Fibonacci number and $p$ a prime. Verify that for $p \le 61$, if $p\equiv\pm1 \pmod{5}$ then $p\mid F_{p-1}$ +5 $ax+by+cz=d$ is the equation of a plane in space. Show that $d'$ is the distance from the plane to the origin. +5 Suppose that $n$ is a positive integer with $\phi(n)=8$. Show that if $p$ is an odd prime divisor of $n$ then $p=3$ or $p=5$ +5 $n$ is a positive integer and let $p$ be a prime divisor of $n^{54}+n^{27}+1$. Prove if $p \ne 3$ then $ord_p(n) = 81$ and $p \equiv 1 \pmod {81}$

This user has not answered any questions

33 Tags

 0 homework × 34 0 integration × 6 0 calculus × 25 0 linear-algebra × 4 0 elementary-number-theory × 19 0 taylor-expansion × 4 0 limits × 12 0 number-theory × 3 0 modular-arithmetic × 11 0 sequences-and-series × 3

5 Accounts

 Mathematics 712 rep 28 Cross Validated 146 rep 6 Stack Overflow 135 rep 19 Database Administrators 101 rep Academia 101 rep 1