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

Kaustubh
Member • Oct 17, 2008

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 😉 !

Replies

Howdy guest!

Dear guest, you must be logged-in to participate on CrazyEngineers. We would love to have you as a member of our community. Consider creating an account or login.

Replies

Kaustubh Katdare

Administrator • 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?

Are you sure? This action cannot be undone.
Cancel
Raviteja.g

Member • Oct 19, 2008

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

Are you sure? This action cannot be undone.
Cancel
shalini_goel14

Member • 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

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Oct 19, 2008

Not really,

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

So we can still go further.

Are you sure? This action cannot be undone.
Cancel
shalini_goel14

Member • 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.

Are you sure? This action cannot be undone.
Cancel
prakash.athani

Member • Oct 19, 2008

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

Are you sure? This action cannot be undone.
Cancel
shalini_goel14

Member • 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)

Are you sure? This action cannot be undone.
Cancel
shalini_goel14

Member • 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)

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Oct 19, 2008

Are we at the biggest number yet?

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Oct 25, 2008

Guys, the factorial operation is NOT allowed

Are you sure? This action cannot be undone.
Cancel
Raviteja.g

Member • Oct 31, 2008

anyway what is the biggest number?

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Oct 31, 2008

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

Are you sure? This action cannot be undone.
Cancel
Anil Jain

Member • Oct 31, 2008

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

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • 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 😉

Are you sure? This action cannot be undone.
Cancel
Anil Jain

Member • 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

Are you sure? This action cannot be undone.
Cancel
ajay_chakra

Member • Oct 31, 2008

Any Crazy Engineer answered this typical, mathematical twisted puzzle

Are you sure? This action cannot be undone.
Cancel
hassaan

Member • 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............

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • 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. 😀

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Nov 17, 2008

Looks like everyone has given up on this! 😔

Are you sure? This action cannot be undone.
Cancel
Anil Jain

Member • Nov 17, 2008

The_Big_K
Looks like everyone has given up on this! 😔

waiting for your take on this... 😁

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Dec 22, 2008

So, what's the final answer we have?

Are you sure? This action cannot be undone.
Cancel
shiwa436

Member • Feb 3, 2009

22^22 is the answer i think.

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • Feb 3, 2009

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

Are you sure? This action cannot be undone.
Cancel
savitha_chandu

Member • Feb 7, 2009

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

Are you sure? This action cannot be undone.
Cancel
Kaustubh Katdare

Administrator • 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:

Are you sure? This action cannot be undone.
Cancel
arsh86

Member • Mar 21, 2009

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

Are you sure? This action cannot be undone.
Cancel
savitha_chandu

Member • Oct 8, 2009

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

Are you sure? This action cannot be undone.
Cancel