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goformit100
Group Title
Find the remainder when 2^1990 is divided by 1990.
 one year ago
 one year ago
goformit100 Group Title
Find the remainder when 2^1990 is divided by 1990.
 one year ago
 one year ago

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goformit100 Group TitleBest ResponseYou've already chosen the best response.1
@mayankdevnani
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Mod arithmetic :') @terenzreignz
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
Why me? :/
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Because you.
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
In this question How to square to so much power ?
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
Might have to resort to totients..... @ParthKohli ?
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
Sir if i use the exponent rule will it work here ?
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Ah! Euler's Theorem!
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
factor 1990 first
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
Time to doodle... \[\large 2^{1990}=4^{995}\]
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
How to factor it ?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
how to factor 1990?
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
What is 4^5? \[\Large = 1024^{199}\]
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
Yes @satellite73
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
try \(2\times 5\times 199\)
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
1990 = 10*199 = 2* 5* 199
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\large 1024^{199}=1024\cdot 1024^{198}=1024\cdot 2048^{99}\]
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
try \(2\times 5\times 199\) means ?
 one year ago

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

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
dw:1367281405845:dw
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
ok @goformit100
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
ok So LCM can be take as a good way of factorizing numbers ok ?
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\Large \equiv 1024\cdot 58 \cdot 58^{98}\]
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
yaaa @goformit100
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.2
it is the best way!!!
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\Large \equiv 1682 \cdot 1374^{49}\] gah... possibly inefficient...
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\Large\equiv 678\cdot (616)^{48}\]
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
This is daunting.
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
\(1990=2\times 5\times 199\) and \(2^2\equiv 4(5) \) also \(2^{198}\equiv 1(199)\) by fermat
 one year ago

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

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
actually this is kind of a pain isn't it
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
if you are seeing "math processing error", try refreshing
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
What to do ?
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\Large \equiv 678\cdot (1356)^{24}\]
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
Yo It's done...Mods you'll great REFRESHING WORKED. No SEE
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
Now I can see
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\Large \equiv 678 \cdot (634)^{24}\equiv678\cdot (634)^{24}\]
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
2^1990 is divided by 1990 what to actually for this ?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
2^1990 2^11 = 2048 = 38 mod 1990 2^(11(180)+10) is what i had in mond :)
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
I lack creativity, guys :)
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
@mikaela19900630 you may too se the question I have posted now.
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
Thank you all of you. I can do these type of question Now :)
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
*from Now
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.4
\[\Large \equiv 678\cdot (24)^{24}\equiv 678\cdot 24^{24}\]
 one year ago

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

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
Thank You Very Much.
 one year ago

goformit100 Group TitleBest ResponseYou've already chosen the best response.1
COME TO http://openstudy.com/study#/updates/517e64aae4b05fd789937825
 one year ago
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