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 ๐Ÿ˜‰ !

Replies

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


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

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

    But I didn't think about that ๐Ÿ˜‰ [โ€‹IMG]
  • Anil Jain
    Anil Jain
    The_Big_K
    That is NOT defined, CB ๐Ÿ˜‰

    But I didn't think about that ๐Ÿ˜‰ [โ€‹IMG]
    Surrendered... ๐Ÿ˜

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

    -CB
  • ajay_chakra
    ajay_chakra
    Any Crazy Engineer answered this typical, mathematical twisted puzzle
  • hassaan
    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
    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. ๐Ÿ˜€
  • Kaustubh Katdare
    Kaustubh Katdare
    Looks like everyone has given up on this! ๐Ÿ˜”
  • Anil Jain
    Anil Jain
    The_Big_K
    Looks like everyone has given up on this! ๐Ÿ˜”

    waiting for your take on this... ๐Ÿ˜
  • Kaustubh Katdare
    Kaustubh Katdare
    So, what's the final answer we have?
  • shiwa436
    shiwa436
    22^22 is the answer i think.
  • Kaustubh Katdare
    Kaustubh Katdare
    shiwa436
    22^22 is the answer i think.
    Please read the thread; many answers have been discussed.
  • savitha_chandu
    savitha_chandu
    the answer which is in my mind is (2^(2^22)) or even it might be 22^22
  • Kaustubh Katdare
    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
    arsh86
    answer is (2^(2^22))
    if u hve bigger than this just show.........it
  • savitha_chandu
    savitha_chandu
    may be the answer for this answer is 2^(2^22)๐Ÿ˜’

You are reading an archived discussion.

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