What is the largest number possible using 2, 2, 2 & 2?

@thebigk • Oct 26, 2024

Oct 26, 2024

2.9K

CEans,

What is the largest number possible using four 2's. Can we come up with a formula with two variables [viz. the number (x) & repetitions (y)]?

What do you think?

Addendum: Factorial is not allowed 😉 !

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Kaustubh Katdare

@thebigk • Oct 19, 2008

I sometimes sit & wonder, if the questions we post here in CE's #-Link-Snipped-# section are way too tough for most of us?

Or shall we start posting simple, no-brainy puzzles? Not a single try for the current puzzle?

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Raviteja.g

@ravitejag-02nJVr • Oct 19, 2008

I think the biggest no possible is
(((2^2)^2)^2)
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shalini_goel14

@shalini-goel14-ASmC2J • Oct 19, 2008

Hi,

I think the largest number possible using four 2's is
(2 ^(22 ^2)) = (approx.)4.9 *(10^145)

I guess the following formula should work for largest no possible using x(as no) and y(as no of repititions)

if (y>2)
x ^((y-2)times x)^x)
else
y times x
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Kaustubh Katdare

@thebigk • Oct 19, 2008

Not really,

22[sup]2[/sup] < 2 [sup]22[/sup]

So we can still go further.
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shalini_goel14

@shalini-goel14-ASmC2J • Oct 19, 2008

Yes Big,

You are true,but what happens when we have too long value in exponential ,we get sometimes infinitely large values.So to avoid this thing,I have not taken 2 22 into account.
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prakash.athani

@prakashathani-RsvHp8 • Oct 19, 2008

Is there any number larger than 2^222 for four 2's?
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shalini_goel14

@shalini-goel14-ASmC2J • Oct 19, 2008

prakash.athani
Is there any number larger than 2^222 for four 2's?

Hi Prakash,

2^(22^2) > 2^222 (if we assume values to infinity are allowed)
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shalini_goel14

@shalini-goel14-ASmC2J • Oct 19, 2008

shalini_goel14
Hi Prakash,

2^(22^2) > 2^222 (if we assume values to infinity are allowed)

Also
2^(2^22) > 2^(22^2) > 2^222 (if we assume values to infinity are allowed)
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Kaustubh Katdare

@thebigk • Oct 19, 2008

Are we at the biggest number yet?
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Kaustubh Katdare

@thebigk • Oct 25, 2008

Guys, the factorial operation is NOT allowed
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Raviteja.g

@ravitejag-02nJVr • Oct 31, 2008

anyway what is the biggest number?
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Kaustubh Katdare

@thebigk • Oct 31, 2008

Raviteja.g
anyway what is the biggest number?
Yeh, that's the question 😉 !
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Anil Jain

@CrazyBoy • Oct 31, 2008

The_Big_K
Yeh, that's the question 😉 !
(2*2)/(2-2)... ha ha ha. Can someone find bigger then this...
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Kaustubh Katdare

@thebigk • Oct 31, 2008

crazyboy
(2*2)/(2-2)... ha ha ha. Can someone find bigger then this...
That is NOT defined, CB 😉

But I didn't think about that 😉
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Anil Jain

@CrazyBoy • Oct 31, 2008

The_Big_K
That is NOT defined, CB 😉

But I didn't think about that 😉
Surrendered... 😁

may be 2^(2^22) is biggest...

-CB
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ajay_chakra

@ajay-chakra-6JmZwj • Oct 31, 2008

Any Crazy Engineer answered this typical, mathematical twisted puzzle
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hassaan

@hassaan-vVsGEN • Nov 12, 2008

hello
I Do Think That There Is Not A Specific Number Made From 2,2,2,2 Cuz 2^2>22^2>2^22>2^222 And Goes On............
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Kaustubh Katdare

@thebigk • Nov 12, 2008

hassaan
hello
I Do Think That There Is Not A Specific Number Made From 2,2,2,2 Cuz 2^2>22^2>2^22>2^222 And Goes On............
Only four twos. 😀
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Kaustubh Katdare

@thebigk • Nov 17, 2008

Looks like everyone has given up on this! 😔
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Anil Jain

@CrazyBoy • Nov 17, 2008

The_Big_K
Looks like everyone has given up on this! 😔

waiting for your take on this... 😁
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Kaustubh Katdare

@thebigk • Dec 22, 2008

So, what's the final answer we have?
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shiwa436

@shiwa436-h94d47 • Feb 3, 2009

22^22 is the answer i think.
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Kaustubh Katdare

@thebigk • Feb 3, 2009

shiwa436
22^22 is the answer i think.
Please read the thread; many answers have been discussed.
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savitha_chandu

@savitha-chandu-gjCsnX • Feb 7, 2009

the answer which is in my mind is (2^(2^22)) or even it might be 22^22
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Kaustubh Katdare

@thebigk • Feb 7, 2009

savitha_chandu
the answer which is in my mind is (2^(2^22)) or even it might be 22^22
Savitha - have a look at earlier posts in this thread. We've discussed quite a lot already :smile:
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arsh86

@arsh86-pwVJG2 • Mar 21, 2009

answer is (2^(2^22))
if u hve bigger than this just show.........it
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savitha_chandu

@savitha-chandu-gjCsnX • Oct 8, 2009

may be the answer for this answer is 2^(2^22)😒
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