Guest Posted October 13, 2009 Report Share Posted October 13, 2009 This may have been posted before. How high can you count using four fours. You can use all mathematical symbols etc. and concatenate the 4's e.g. 4444. here's a start, 44/44 =1 4/4 + 4/4 =2 (4+4+4)/4 =3 There is a record for the highest number achieved somewhere, I'm sure one of you will know where. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 4 + (4-4)*4 = 4 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 (4*4 + 4)/4 = 5 (4 + 4)/4 + 4 = 6 44/4 - 4 = 7 4 + 4 + 4 - 4 = 8 4 + 4 + 4/4 = 9 (44 - 4)/4 = 10 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 4(4-4) + 4 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 ceiling(4* 4√44) = 11 ?? Can we use ceiling? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 44 / (sqrt(4*4)) = 11 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 44 / (sqrt(4*4)) = 11 Similar to another post this past week, is 'sqrt' inherently using a 2? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 (44 + 4)/4 = 12 4! – 44/4 = 13 (4!)/4 + 4 + 4 = 14 4*4 – 4/4 = 15 4*4 + 4 – 4 = 16 4*4 + 4/4 = 17 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 (4! + 4)/4 + 4 = 11 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 (4P4) - 4!/4 = 18 if probability is allowed 4! – 4 – 4/4 = 19 4! – 4 + 4 – 4 = 20 4! – 4 + 4/4 = 21 4! – (4 + 4)/4 = 22 4! – 4^(4 – 4) = 23 4! + (4 – 4)*4 = 24 4! + 4^(4 – 4) = 25 4! + (4 + 4)/4 = 26 4! + 4 – 4/4 = 27 4! + 4 – 4 + 4 = 28 4! + 4 + 4/4 = 29 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 Infinite (No limit) - (4*Sigma(1 to x)of 1)/4 - just put what x you want and expand it it will give that number Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 4! + (4*4(4+4))/4 = 30 44/4 + 4! - 4 = 31 (4^4)/(4+4) = 32 (4/4 + 4^4)/(4+4) = 33 (4^4 * 4^4)/(4+4) = 34 (4^4)/(4+4) + ((4+4+4)/4) = 35 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 13, 2009 Report Share Posted October 13, 2009 4! + (4*4(4+4))/4 = 30 44/4 + 4! - 4 = 31 (4^4)/(4+4) = 32 (4/4 + 4^4)/(4+4) = 33 (4^4 * 4^4)/(4+4) = 34 (4^4)/(4+4) + ((4+4+4)/4) = 35 four fours? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 (edited) 4 x (4+4) + 4 = 36 44 - 4- 4= 36 Edited October 14, 2009 by Andrew1258 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 (edited) 4! + ((4!+sqrt 4)/sqrt4) = 37 Edited October 14, 2009 by Forcedhand Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 4444! if someone can come up with something bigger i'd like to see it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 (edited) (4^4)^(4^4) = 256^256 = more than my calculator can handle Ohhh... oops. You mean actually count. Edited October 14, 2009 by Dutch Riddle Amateur Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 4444! if someone can come up with something bigger i'd like to see it. The title is "How high can you count" if you you are going to propose 4444! then please show how you calculated all the numbers below that! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 4!-(4-4/4)!=18 4!-(4+4/4)!=30 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 (edited) Well since the OP hasn't discredited sqrt or permutations/combinations, I can get up to 30. I'm stuck on 31. nobody - could you check your 30? Edited October 14, 2009 by ljb Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 4! + 4 + 4 - sqrt 4 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 ((4+sqrt 4)!+4!)/4! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 4^4/(4+4) Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 I doubt this valid ((4+4)*4) + sqrt(sqrt(sqrt(... to infinity...sqrt(4))))...)))) Quote Link to comment Share on other sites More sharing options...
0 plainglazed Posted October 14, 2009 Report Share Posted October 14, 2009 I think you have to use square roots to go much higher. Here's one for thirty, though, that does not. arcsine((4+4)/(4*4)) = 304! + (4!/4) + 4 = 34 4! + 44/4 = 35 44-4-4 = 36 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 14, 2009 Report Share Posted October 14, 2009 (edited) arcsin of 1/2 yields pi/6, not 30. ((4-4/4)!)!/4! Edited October 14, 2009 by DarthNoob Quote Link to comment Share on other sites More sharing options...
Question
Guest
This may have been posted before.
How high can you count using four fours. You can use all mathematical symbols etc. and concatenate the 4's e.g. 4444. here's a start,
44/44 =1
4/4 + 4/4 =2
(4+4+4)/4 =3
There is a record for the highest number achieved somewhere, I'm sure one of you will know where.
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