08 Oct 2009

# 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 😉 !
10 years ago
I sometimes sit & wonder, if the questions we post here in CE's CE - Quiz | Puzzles | Mathematics 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

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10 years ago
I think the biggest no possible is
(((2^2)^2)^2)

shalini_goel14

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10 years ago
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
10 years ago
Not really,

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

So we can still go further.

shalini_goel14

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10 years ago
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

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10 years ago
Is there any number larger than 2^222 for four 2's?

shalini_goel14

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10 years ago
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

Branch Unspecified
10 years ago
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)
10 years ago
Are we at the biggest number yet?
10 years ago
Guys, the factorial operation is NOT allowed

Raviteja.g

Branch Unspecified
10 years ago
anyway what is the biggest number?
10 years ago
Raviteja.g
anyway what is the biggest number?
Yeh, that's the question 😉 !
10 years ago
The_Big_K
Yeh, that's the question 😉 !
(2*2)/(2-2)... ha ha ha. Can someone find bigger then this...
10 years ago
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 😉
10 years ago
The_Big_K
That is NOT defined, CB 😉

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

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

-CB

ajay_chakra

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10 years ago
Any Crazy Engineer answered this typical, mathematical twisted puzzle

hassaan

Branch Unspecified
10 years ago
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............
10 years ago
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. 😀
10 years ago
Looks like everyone has given up on this! 😔
10 years ago
The_Big_K
Looks like everyone has given up on this! 😔

waiting for your take on this... 😁
10 years ago
So, what's the final answer we have?

shiwa436

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10 years ago
22^22 is the answer i think.
10 years ago
shiwa436
22^22 is the answer i think.

savitha_chandu

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10 years ago
the answer which is in my mind is (2^(2^22)) or even it might be 22^22
10 years ago
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

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9 years ago