 mersenneforum.org Classic problem: Four 4's
 Register FAQ Search Today's Posts Mark Forums Read  2005-09-29, 14:49 #34 grandpascorpion   Jan 2005 Transdniestr 503 Posts 75 = (4sqsq+44)/4 86 = 4!/(.4sq)-4*4sq 122= 4!/(.4sq)-4!-4 Last fiddled with by grandpascorpion on 2005-09-29 at 15:04   2005-09-29, 15:12 #35 grandpascorpion   Jan 2005 Transdniestr 503 Posts 133 = (4!-.4sq)/(.4sq)-4sq   2005-09-29, 15:19 #36 Orgasmic Troll Cranksta Rap Ayatollah   Jul 2003 12018 Posts pi = (-4/(4+4))!sq :D   2005-09-29, 15:20   #37
S80780

Jan 2003
far from M40

53 Posts Quote:
 Originally Posted by Wacky Where is "75" ?
Oops! forgot to post:
75 = (4!+4!/4)/.4

So, we're down to 13.   2005-09-29, 15:48 #38 Wacky   Jun 2003 The Texas Hill Country 32·112 Posts Ken, Thanks for the "puzzle". Perhaps you will now disclose which of the remaining numbers are those that you have not yet solved. As for the "Scoreboard", I haven't found a way to get a message to the top of the thread. So, for the next thread for this kind of puzzle, let me suggest that the original author set up the top of the thread by posting two or three messages. (1) The statement of the problem (to be edited if clarification is required) (2) A placeholder for the Scoreboard (3) The original statement of the problem (and author's comments) That way, we can have the "executive overview" of the puzzle and scoreboard at the head and the rest of the thread can develop in a normal fashion.   2005-09-29, 16:14 #39 Ken_g6   Jan 2005 Caught in a sieve 5·79 Posts Thanks, GrandpaScorpion! That subtract-from-256 trick solved one I hadn't gotten (113), and helped me get two others. So now there's only one less than 160 that I haven't gotten. I'd rather not disclose it just yet, as it might discourage you from finding a solution for it! Trying numbers up around 256, it looks to me like it might be fruitful to expand the range up to 300, though I wouldn't expect to find solutions for all numbers in that range. Wacky, can't you just edit your first message (the 3rd in the list) this time?   2005-09-29, 18:45 #40 rogue   "Mark" Apr 2003 Between here and the 144508 Posts I think the solution to 73 is incorrect. Try this: 73 = ((4! + 4)/4)sq + 4! And two more: 79 = (4sqsq - 4)/4 + 4sq 87 = (4sqsq - 4)/4 + 4!   2005-09-29, 18:56 #41 grandpascorpion   Jan 2005 Transdniestr 503 Posts 73 = (4sqsq+(4!/4)sq)/4 is valid = (256 + 6^2)/4 = 73 Is it me or did some solutions disappear (like 79 and 87 earlier)? And Ken, glad that helped. I'm game for increasing finding solutions thru 300. Last fiddled with by grandpascorpion on 2005-09-29 at 19:01   2005-09-29, 19:00   #42
rogue

"Mark"
Apr 2003
Between here and the

144508 Posts Quote:
 Originally Posted by grandpascorpion 73 = (4sqsq+(4!/4)sq)/4 is valid = (256 + 6^2)/4 = 73
You are correct and I noticed that right after I posted.

Last fiddled with by rogue on 2005-09-29 at 19:01   2005-09-29, 19:02 #43 grandpascorpion   Jan 2005 Transdniestr 503 Posts Thanks Last fiddled with by grandpascorpion on 2005-09-29 at 19:05   2005-09-29, 20:34 #44 rogue   "Mark" Apr 2003 Between here and the 11001001010002 Posts Here is the current list. I have removed duplicates and solutions which use more fours than other solutions for the same number. 0 = 4 - 4 1 = 4/4 2 = (4 + 4)/4 3 = 4 - 4/4 4 = 4 5 = 4 + 4/4 6 = 4!/4 7 = (4! + 4)/4 8 = 4 + 4 9 = (4 - .4)/.4 10 = 4 / .4 10 = 4/.4 11 = 44 / 4 12 = 4sq - 4 13 = 4sq - 4 + 4/4 14 = 4sq - (4 + 4)/4 15 = 4sq - 4/4 16 = 4sq 17 = 4sq + 4/4 18 = 4/.4 + 4 + 4 18 = 4sq + (4 + 4)/4 19 = (4 + 4 - .4)/.4 19 = 4! - 4 - 4/4 20 = 4! - 4 21 = (4 + 4.4)/.4 21 = 4! - 4 + 4/4 22 = 4! - (4 + 4)/4 23 = 4! - 4/4 24 = 4! 25 = 4! + 4/4 26 = 4sq + 4/.4 27 = 4! + 4 - 4/4 28 = 4! + 4 29 = 4! + 4 + 4/4 30 = (4 + 4/4)!/4 31 = 4sq + 4sq - 4/4 32 = 4sq + 4sq 33 = 4sq + 4sq + 4/4 34 = 4! + 4/.4 35 = 4! + 44/4 36 = (4!/4)sq 36 = 4!sq / 4sq 37 = (4!/4)sq + 4/4 37 = 4!sq / 4sq + 4/4 38 = (4sq - .4 - .4)/.4 38 = 4! + 4/.4 + 4 39 = (4sq - .4)/.4 40 = 4! + 4sq 40 = 4sq/.4 41 = (4sq + .4)/.4 41 = 4! + 4sq + 4/4 42 = (4sq + .4 + .4)/.4 42 = 4! + 4! - 4!/4 43 = 44 - 4/4 44 = 44 45 = 44 + 4/4 46 = (4! - 4)/.4 - 4 46 = (4sq + 4)/.4 - 4 47 = 4! + 4! - 4/4 48 = 4! + 4! 49 = ((4! + 4)/4)sq 50 = (4! - 4)/.4 50 = (4sq + 4)/.4 51 = (4! - 4 + .4)/.4 51 = (4sq + 4 + .4)/.4 52 = 4! + 4! + 4 52 = 44 + 4 + 4 53 = ((4! + 4)/4)sq + 4 54 = (4sq + 4)/.4 + 4 54 = 4! + 4! + 4!/4 54 = 4!/.4 - 4!/4 54 = 4!/4 + 4! + 4! 55 = (4! - .4)/.4 - 4 56 = 4!/.4 - 4 57 = (4! + .4)/.4 - 4 58 = (4! - .4 - .4)/.4 58 = 4! + 4! + 4/.4 59 = (4! - .4)/.4 60 = 4!/.4 61 = (4! + .4)/.4 61 = 4!/.4 + 4/4 62 = (4! + .4 + .4)/.4 63 = 4sq * 4 - 4/4 64 = (4 + 4)sq 64 = 4sq * 4 65 = 4sq * 4 + 4/4 66 = (4! + 4)/.4 - 4 66 = 4!/.4 + 4!/4 67 = (4sqsq - 4)/4 + 4 68 = 4! + 44 68 = 4sq * 4 + 4 69 = (4! + 4 - .4)/.4 70 = (4! + 4)/.4 71 = (4! + 4.4)/.4 72 = 4! * 4 - 4! 72 = 4! + 4! + 4! 73 = ((4! + 4)/4)sq + 4! 74 = (4! + 4)/.4 + 4 75 = (4! + 4!/4)/.4 76 = 4! + 4! + 4! + 4 77 = (4 - 4/4)sqsq - 4 79 = (4sqsq - 4)/4 + 4sq 80 = 4*(4! - 4) 80 = 4sq * 4 + 4sq 81 = ((4 - .4)/.4)sq 81 = ((4 - 4/4)sq)sq 84 = 4!/.4 + 4! 84 = 4*(4sq + 4) + 4 85 = (4 - 4/4)sqsq + 4 85 = (4! + .4)/.4 + 4! 85 = (4! + 4/.4)/.4 86 = 4!/(.4sq) - 4sq * 4 87 = (4sqsq - 4)/4 + 4! 88 = 4! + 4! + 4! + 4sq 89 = ((4!/4)sq - .4)/.4 90 = (4!/4)sq/.4 91 = ((4!/4)sq + .4)/.4 92 = 4! * 4 - 4 94 = (4 / .4)sq - 4!/4 94 = (4/.4)sq - 4!/4 95 = (4! * 4sq - 4)/4 95 = 4! * 4 - 4/4 96 = 4! * 4 97 = (4! * 4sq + 4)/4 97 = 4! * 4 + 4/4 99 = (4 / .4)sq - 4/4 99 = (4/.4)sq - 4/4 100 = (4/.4)sq 101 = (4/.4)sq + 4/4 102 = 4! * 4 + 4!/4 104 = (4/.4)sq + 4 105 = (4 - 4/4)sqsq + 4! 105 = (44/4)sq - 4sq 106 = (4/.4)sq + 4!/4 106 = 44/.4 - 4 108 = (4/.4)sq + 4 + 4 109 = (44 - .4)/.4 110 = 44/.4 111 = 444/4 112 = 4 * (4! + 4) 112 = 4! * 4 + 4sq 113 = 4sqsq - (4!sq - 4)/4 114 = 44/.4 + 4 116 = (4/.4)sq + 4sq 117 = (44/4)sq - 4 118 = 4sqsq - (4!sq - 4!)/4 119 = (4! + 4! - .4)/.4 120 = (4 + 4/4)! 120 = (4! + 4!)/.4 121 = (44/4)sq 122 = 4!/(.4sq)-4! - 4 124 = (4 + 4/4)! + 4 124 = (4sq - 4)sq - 4sq - 4 125 = (44/4)sq + 4 125 = (4! - 4)/(.4)sq 126 = (4!sq + 4!)/4 - 4! 127 = (4!sq - 4)/4 - 4sq 128 = (4sq - 4)sq - 4sq 128 = 4!sq/4 - 4sq 128 = 4sq * 4 + 4sq * 4 129 = (4!sq + 4)/4 - 4sq 130 = (4! + 4! + 4)/.4 132 = (4/.4)sq + 4sq + 4sq 132 = (4sq - 4)sq - 4sq + 4 132 = 4!sq/4 - 4sq + 4 133 = (4! - .4sq)/(.4sq)-4sq 134 = (4!sq + 4!)/4 - 4sq 135 = 4sqsq - (44/4)sq 136 = (4sq - 4)sq - 4 - 4 136 = 4!sq/4 - 4 - 4 137 = (4!sq - 4! - 4)/4 137 = (44/4)sq + 4sq 138 = (4!sq - 4!)/4 139 = (4!sq - 4)/4 - 4 140 = (4sq - 4)sq - 4 140 = 4!sq/4 - 4 141 = (4!sq - 4sq + 4)/4 142 = (4!sq - 4 - 4)/4 143 = (4!sq - 4)/4 143 = 4!sq/4 - 4/4 144 = (4sq - 4)sq 144 = 4!sq/4 144 = 4!sq/4 + 4/4 145 = (4!sq + 4)/4 146 = (4!sq + 4 + 4)/4 147 = (4!sq - 4)/4 + 4 148 = (4sq - 4)sq + 4 149 = (4!-(.4)sq)/(.4)sq 150 = 4!/(.4)sq 151 = (4!+(.4)sq)/(.4)sq 152 = (4sq - 4)sq + 4 + 4 152 = 4 * 44 - 4! 153 = 4+(4!-(.4)sq)/(.4)sq 154 = 4 + 4!/(.4)sq 155 = 4+(4!+(.4)sq)/(.4)sq 156 = 4sqsq - (4/.4)sq 158 = 4!/(.4)sq + 4 + 4 159 = (4!sq - 4)/4 + 4sq 160 = (4sq - 4)sq + 4sq 256 = 4sqsq Last fiddled with by rogue on 2005-09-29 at 20:35   Thread Tools Show Printable Version Email this Page Similar Threads Thread Thread Starter Forum Replies Last Post davieddy PrimeNet 26 2011-06-13 09:38 davieddy PrimeNet 6 2009-10-04 08:33 ian209 Hardware 4 2006-02-18 19:52 fetofs Puzzles 7 2005-10-16 11:45 JuanTutors Puzzles 24 2005-08-28 23:46

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