Kaustubh Katdare

Electrical

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?

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 😉 !Kaustubh Katdare

Electrical

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?

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

Raviteja.g

Branch Unspecified

10 years ago

I think the biggest no possible is

(((2^2)^2)^2)

(((2^2)^2)^2)

shalini_goel14

Branch Unspecified

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

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

Electrical

10 years ago

Not really,

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

So we can still go further.

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

So we can still go further.

shalini_goel14

Branch Unspecified

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.

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

Branch Unspecified

10 years ago

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

shalini_goel14

Branch Unspecified

10 years ago

prakash.athaniIs 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_goel14Hi 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

Electrical

10 years ago

Are we at the biggest number yet?

Kaustubh Katdare

Electrical

10 years ago

Guys, the factorial operation is NOT allowed

Raviteja.g

Branch Unspecified

10 years ago

anyway what is the biggest number?

Kaustubh Katdare

Electrical

10 years ago

Yeh, that's the question 😉 !Raviteja.ganyway what is the biggest number?

Kaustubh Katdare

Electrical

10 years ago

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

But I didn't think about that 😉

ajay_chakra

Branch Unspecified

10 years ago

Any Crazy Engineer answered this typical, mathematical twisted puzzle

Kaustubh Katdare

Electrical

10 years ago

Only four twos. 😀hassaanhello

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

Electrical

10 years ago

Looks like everyone has given up on this! 😔

Kaustubh Katdare

Electrical

10 years ago

So, what's the final answer we have?

Kaustubh Katdare

Electrical

10 years ago

Please read the thread; many answers have been discussed.shiwa43622^22 is the answer i think.

savitha_chandu

Branch Unspecified

10 years ago

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

Kaustubh Katdare

Electrical

10 years ago

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

savitha_chandu

Branch Unspecified

9 years ago

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

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