A community for students.
Here's the question you clicked on:
 0 viewing
goformit100
 3 years ago
Find the remainder when 2^1990 is divided by 1990.
goformit100
 3 years ago
Find the remainder when 2^1990 is divided by 1990.

This Question is Closed

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Mod arithmetic :') @terenzreignz

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1In this question How to square to so much power ?

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4Might have to resort to totients..... @ParthKohli ?

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1Sir if i use the exponent rule will it work here ?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Ah! Euler's Theorem!

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4Time to doodle... \[\large 2^{1990}=4^{995}\]

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4What is 4^5? \[\Large = 1024^{199}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0try \(2\times 5\times 199\)

mayankdevnani
 3 years ago
Best ResponseYou've already chosen the best response.21990 = 10*199 = 2* 5* 199

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\large 1024^{199}=1024\cdot 1024^{198}=1024\cdot 2048^{99}\]

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1try \(2\times 5\times 199\) means ?

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4Now let's start working some "mod magic" and reduce the bases at mod 1990 \[\Large =_{(mod \ 1990)} \ \ 1024\cdot 58^{99}\]

mayankdevnani
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1367281405845:dw

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1ok So LCM can be take as a good way of factorizing numbers ok ?

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 1024\cdot 58 \cdot 58^{98}\]

mayankdevnani
 3 years ago
Best ResponseYou've already chosen the best response.2yaaa @goformit100

mayankdevnani
 3 years ago
Best ResponseYou've already chosen the best response.2it is the best way!!!

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 1682 \cdot 1374^{49}\] gah... possibly inefficient...

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\Large\equiv 678\cdot (616)^{48}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\(1990=2\times 5\times 199\) and \(2^2\equiv 4(5) \) also \(2^{198}\equiv 1(199)\) by fermat

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1Mods Sir(s) I have to make you know that the Equation you are posting have not opened yet

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0actually this is kind of a pain isn't it

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0if you are seeing "math processing error", try refreshing

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 678\cdot (1356)^{24}\]

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1Yo It's done...Mods you'll great REFRESHING WORKED. No SEE

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 678 \cdot (634)^{24}\equiv678\cdot (634)^{24}\]

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.12^1990 is divided by 1990 what to actually for this ?

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.02^1990 2^11 = 2048 = 38 mod 1990 2^(11(180)+10) is what i had in mond :)

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4I lack creativity, guys :)

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1@mikaela19900630 you may too se the question I have posted now.

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1Thank you all of you. I can do these type of question Now :)

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4\[\Large \equiv 678\cdot (24)^{24}\equiv 678\cdot 24^{24}\]

terenzreignz
 3 years ago
Best ResponseYou've already chosen the best response.4cr*p... sorry \[\Large \equiv 678\cdot (24)^{\color{red}{12}}\equiv 678\cdot 24^{\color{red}{12}}\]

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1Thank You Very Much.

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.1COME TO http://openstudy.com/study#/updates/517e64aae4b05fd789937825
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.