Question

satellite's question:
Let n be positive integer.
If we divide n by 3, the remainder is 2.
If we divide n by 5, the remainder is 1.
What is the smallest possible value for n?

Answer 1

i get 11

Answer 2

11

Answer 3

lol gj

Answer 4

3|n-2
5|n-1

n-2=3*q
n-1=5*r
3q+2=5r+1
3q+1=5r
so the smallest integers so this is true are q=3 r=2

that is n=11

Answer 5

yep pretty similar to what I did

Answer 6

how did you do it neel?

Answer 7

number theory is pretty fun

Answer 8

yes i agree

Answer 9

i get to take a grad course in it starting in a few weeks

Answer 10

i wish i could had taken a advanced number theory course :(

Answer 11

none of the professors specialized in it

Answer 12

we just have one who does so he teaches all the number theory

Answer 13

and we have a really good one in abstract who's doing galois theory in the fall

Answer 14

i really don't think i have the personality for math anymore since i only really enjoy number theory
i should probably look into computer science or cryptography

Answer 15

have you taken abstract algebra?

Answer 16

yes

Answer 17

if so you could get into coding

Answer 18

thats mathematical comp science

Answer 19

right i want to work at the nsa
i think that might be cool
but the location sucks

Answer 20

what degree do you have in math?

Answer 21

masters

Answer 22

if you want to try a fun integral I posted one that no one tried:
http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4de848014c0e8b0bd934bcd8

Answer 23

ok i will look at it