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[Math Game] The Four Fours

Forums: Games, Game Math Four 4 Number, Math Game
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raprap
 
  2  
Reply Thu 2 Jan, 2014 10:49 pm
60=44+4*4

Rap
0 Replies
 
Kolyo
 
  2  
Reply Thu 2 Jan, 2014 11:09 pm
61 = 44 + P(P(4)) + !(!sqrt(4))
0 Replies
 
raprap
 
  2  
Reply Fri 3 Jan, 2014 05:55 am
62=4*4*4-Sqrt(4)

Rap
0 Replies
 
Kolyo
 
  2  
Reply Fri 3 Jan, 2014 11:34 am
63 = P(4) * !4 + 4 - 4
0 Replies
 
raprap
 
  2  
Reply Sat 4 Jan, 2014 09:02 am
Gamma function-G

64=G(4+Sqrt(4))/Sqrt(4)+4

Rap
0 Replies
 
Kolyo
 
  2  
Reply Sat 4 Jan, 2014 04:38 pm
65 = 4*4*4 + !(sqrt (4))
0 Replies
 
raprap
 
  2  
Reply Sun 5 Jan, 2014 06:25 am
66=4*4*4+Sqrt(4)

Rap


0 Replies
 
timur
 
  2  
Reply Sun 5 Jan, 2014 06:46 am
67=(!4+sqrt(4))/.4+sqrt(4)
markr
 
  2  
Reply Sun 5 Jan, 2014 02:04 pm
@timur,
!4 should be 4! in that last one.
timur
 
  2  
Reply Sun 5 Jan, 2014 02:20 pm
@markr,
Dyslexic math, sorry!
0 Replies
 
raprap
 
  3  
Reply Sun 5 Jan, 2014 06:50 pm
I like that one

68=(4!+4)/.4-Sqrt(4)

Rap
0 Replies
 
Kolyo
 
  1  
Reply Sun 5 Jan, 2014 08:12 pm
69 = P(!4) * (4 - 4/4)

!4 = 9, and P(!4) = 23, the 9th prime.
0 Replies
 
raprap
 
  1  
Reply Sun 5 Jan, 2014 09:28 pm
70=P(4)*(4+4+Sqrt(4))

7 is the 4th prime.

Rap
0 Replies
 
Kolyo
 
  1  
Reply Sun 5 Jan, 2014 10:31 pm
71 = (4!!)C4 + 4/4

(Good old nCr, "n choose r".)
markr
 
  2  
Reply Mon 6 Jan, 2014 01:29 am
@Kolyo,
72 = phi(4!*sqrt(!4) + 4/4) = phi(73)
where phi is Euler's totient function

If we can get to p-2 (where p is prime), we are guaranteed to get p-1 and p:
p = P(some index less than p-2 which has already been obtained)
p-1 = phi(p)
0 Replies
 
raprap
 
  1  
Reply Mon 6 Jan, 2014 12:31 pm
73=4*4*4+!4

Rap
timur
 
  1  
Reply Mon 6 Jan, 2014 01:16 pm
@raprap,
Yours is elegant, I had it a little more complicated.

74=(4*4!)-4!+sqrt(4)
0 Replies
 
raprap
 
  1  
Reply Mon 6 Jan, 2014 01:31 pm
75=(4!+4+Sqrt(4))/.4

Rap
0 Replies
 
Kolyo
 
  1  
Reply Mon 6 Jan, 2014 02:54 pm
76 = 4*[!4 + 4!! + sqrt(4)]
Kolyo
 
  1  
Reply Mon 6 Jan, 2014 03:32 pm
@Kolyo,
Oh, and here's a less elegant way of making 76, with repeated use of the prime indexing function and Euler's totient function:

76 = √[φ(P(P(φ(P(!4)))))] * 4 - sqrt(4) - sqrt(4)

That monstrosity just to the right of the equals sign is a 20. Smile
0 Replies
 
 

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