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

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 ๐ !

## Replies

• Kaustubh Katdare
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?
• Raviteja.g
I think the biggest no possible is
(((2^2)^2)^2)
• shalini_goel14
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
• Kaustubh Katdare
Not really,

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

So we can still go further.
• shalini_goel14
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.
• prakash.athani
Is there any number larger than 2^222 for four 2's?
• shalini_goel14
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)
• shalini_goel14
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)
• Kaustubh Katdare
Are we at the biggest number yet?
• Kaustubh Katdare
Guys, the factorial operation is NOT allowed
• Raviteja.g
anyway what is the biggest number?
• Kaustubh Katdare
Raviteja.g
anyway what is the biggest number?
Yeh, that's the question ๐ !
• Anil Jain
The_Big_K
Yeh, that's the question ๐ !
(2*2)/(2-2)... ha ha ha. Can someone find bigger then this...
• Kaustubh Katdare
crazyboy
(2*2)/(2-2)... ha ha ha. Can someone find bigger then this...
That is NOT defined, CB ๐

But I didn't think about that ๐
• Anil Jain
The_Big_K
That is NOT defined, CB ๐

But I didn't think about that ๐
Surrendered... ๐

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

-CB
• ajay_chakra
Any Crazy Engineer answered this typical, mathematical twisted puzzle
• 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............
• Kaustubh Katdare
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. ๐
• Kaustubh Katdare
Looks like everyone has given up on this! ๐
• Anil Jain
The_Big_K
Looks like everyone has given up on this! ๐

waiting for your take on this... ๐
• Kaustubh Katdare
So, what's the final answer we have?
• shiwa436
22^22 is the answer i think.
• Kaustubh Katdare
shiwa436
22^22 is the answer i think.
• savitha_chandu
the answer which is in my mind is (2^(2^22)) or even it might be 22^22
• Kaustubh Katdare
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:
• arsh86
if u hve bigger than this just show.........it
• savitha_chandu

You are reading an archived discussion.

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