Current Events > What is the largest odd number that divides (2^2022)! ?

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FLOUR
02/18/22 5:58:35 PM
#1:


discuss

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You don't want to play cards with me because I'll cheat. You wanna play 21? I've got 22!
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the_rowan
02/18/22 5:59:22 PM
#2:


2^2022 - 1

next

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"That is why war is so tragic. To win means to make victims of your opponents and give birth to hatred." - Kratos Aurion, Tales of Symphonia
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Paragon21XX
02/18/22 6:06:08 PM
#3:


the_rowan posted...
2^2022 - 1

next
Nope. It's (2^2022-1) (2^2022-3) (2^2022-5) (2^2022-7) ... 7 5 3 1 = (2^2022-1)!!.

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Hmm...
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Sackgurl
02/18/22 6:07:13 PM
#4:


1

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LittleBigPlanet is like merging dress-up with a real game.
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AngelsNAirwav3s
02/18/22 6:11:59 PM
#5:


Sackgurl posted...
1


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Hello world!
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FLOUR
02/18/22 6:12:40 PM
#6:


Paragon21XX posted...
Nope. It's (2^2022-1) (2^2022-3) (2^2022-5) (2^2022-7) ... 7 5 3 1.

Technically yes, but I was hoping for a more simple expression that doesn't involve ...

I'm looking for a simplified form of m/n where m and n are even numbers and m/n is odd.

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You don't want to play cards with me because I'll cheat. You wanna play 21? I've got 22!
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Paragon21XX
02/18/22 6:32:15 PM
#8:


FLOUR posted...
Technically yes, but I was hoping for a more simple expression that doesn't involve ...

I'm looking for a simplified form of m/n where m and n are even numbers and m/n is odd.
So you mean (2^2022)! / (2^2022)!! = (2^2022-1)!!

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Hmm...
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