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ASA Thou craven dreadbolted clotpole
Joined: 03 Feb 2004 Posts: 5195 Location: Adelaide, Australia

Posted: Thu Aug 24, 2006 11:46 pm Post subject: 


SuperGrover wrote:  If we have to use the digits in order, I submit:
729 = (7+2)^sqrt(9)
6859 = (6+8+5)^sqrt(9)
59319 = (5*9  3!*1)^sqrt(9)
117649 = ((1*1*7!/6!)^sqrt(4))^sqrt(9)
185193=((1+8 )*(5+1)+sqrt(9))^3
205379 = ((2!+0!)+(5+3)*7)^sqrt(9)
456533 = ((sqrt(4)*5+6)*53)^3
493039 = (4!*sqrt(9)+3^0+3!)^sqrt(9)
658503 = ((6+5)*(8 )5^0)^3
970299 = ((9+(7*0)+2)*9)^sqrt(9) 
Remember this sequence for future Series Series Questions. _________________ Alan
Puzzletome : It is a puzzle to me too 

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SuperGrover Lets meet as little as we can
Joined: 12 Nov 2004 Posts: 1165 Location: USA

Posted: Fri Aug 25, 2006 12:56 am Post subject: 


ASA wrote:  SuperGrover wrote:  If we have to use the digits in order, I submit:
729 = (7+2)^sqrt(9)
6859 = (6+8+5)^sqrt(9)
59319 = (5*9  3!*1)^sqrt(9)
117649 = ((1*1*7!/6!)^sqrt(4))^sqrt(9)
185193=((1+8 )*(5+1)+sqrt(9))^3
205379 = ((2!+0!)+(5+3)*7)^sqrt(9)
456533 = ((sqrt(4)*5+6)*53)^3
493039 = (4!*sqrt(9)+3^0+3!)^sqrt(9)
658503 = ((6+5)*(8 )5^0)^3
970299 = ((9+(7*0)+2)*9)^sqrt(9) 
Remember this sequence for future Series Series Questions. 
I am positive that there are many more in this series, and furthermore that there are many between 729 and 970299. I just plucked the lowhanging fruit (although I suppose 117649 was not that low). _________________ There are only 10 kinds of people in the worldthose who know binary, and those who don't. 

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dnbmathguy Base dunghill villain
Joined: 01 Feb 2004 Posts: 639 Location: New Hampshire

Posted: Fri Aug 25, 2006 3:37 am Post subject: 


May I submit 5040 = (5+0+sqrt(4))! + 0 as another candidate? 

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ASA Thou craven dreadbolted clotpole
Joined: 03 Feb 2004 Posts: 5195 Location: Adelaide, Australia

Posted: Fri Aug 25, 2006 4:09 am Post subject: 


355 = 3 *5!  5 _________________ Alan
Puzzletome : It is a puzzle to me too 

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SuperGrover Lets meet as little as we can
Joined: 12 Nov 2004 Posts: 1165 Location: USA

Posted: Fri Aug 25, 2006 4:56 am Post subject: 


dnbmathguy wrote:  May I submit 5040 = (5+0+sqrt(4))! + 0 as another candidate? 
I suspect that manynay, allfactorials for N>3 will fit under this rubric.
[I will leave N>13 to the reader...]
479001600 = (4+7+(9*0)+0+1+(6*0)+0)!
39916800 = (3+9(1+6+8+0)^0)!
3628800 = (3+6+2(8/8)+0+0)!
362880 = (3*(6/2)*(8/8)+0)!
40320 = (4+(0*3+2)+0)!
5040 is already in the thread
720 = (72^0)!
120 = ((1+2)!0!)! (ugly, but valid)
24 = (2*sqrt(4))! _________________ There are only 10 kinds of people in the worldthose who know binary, and those who don't. 

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theandygrant This is the foul fiend Flibbertigibbet
Joined: 07 Feb 2004 Posts: 1264 Location: The Lethargic Dodecahedron

Posted: Fri Aug 25, 2006 11:24 am Post subject: 


6706022400 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 + 0)!
100590336000 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0 + 0)!
1609445376000 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0 + 0)!
27360571392000 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0 + 0)! 

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theandygrant This is the foul fiend Flibbertigibbet
Joined: 07 Feb 2004 Posts: 1264 Location: The Lethargic Dodecahedron

Posted: Fri Aug 25, 2006 11:26 am Post subject: 


120 = ((1+2)! + 0)! a bit less ugly 

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theandygrant This is the foul fiend Flibbertigibbet
Joined: 07 Feb 2004 Posts: 1264 Location: The Lethargic Dodecahedron

Posted: Fri Aug 25, 2006 11:36 am Post subject: 


40321 = (4+(0*3+2))! + 1
40322 = (4+(0*3+2))! + 2
40323 = (4+(0*3+2))! + 3
40324 = (4+(0*3+2))! + 4
40325 = (4+(0*3+2))! + 5
40326 = (4+(0*3+2))! + 6
40327 = (4+(0*3+2))! + 7
40328 = (4+(0*3+2))! + 8
40329 = (4+(0*3+2))! + 9
362881 = (3*(6/2)*(8/8))! + 1
362882 = (3*(6/2)*(8/8))! + 2
362883 = (3*(6/2)*(8/8))! + 3
362884 = (3*(6/2)*(8/8))! + 4
362885 = (3*(6/2)*(8/8))! + 5
362886 = (3*(6/2)*(8/8))! + 6
362887 = (3*(6/2)*(8/8))! + 7
362888 = (3*(6/2)*(8/8))! + 8
362889 = (3*(6/2)*(8/8))! + 9
3628801 = (3+6+2(8/8)+0)! + 1
3628802 = (3+6+2(8/8)+0)! + 2
3628803 = (3+6+2(8/8)+0)! + 3
3628804 = (3+6+2(8/8)+0)! + 4
3628805 = (3+6+2(8/8)+0)! + 5
3628806 = (3+6+2(8/8)+0)! + 6
3628807 = (3+6+2(8/8)+0)! + 7
3628808 = (3+6+2(8/8)+0)! + 8
3628809 = (3+6+2(8/8)+0)! + 9
39916801 = (3 + 9 + 1 + 6*8*0)! + 1
39916802 = (3 + 9 + 1 + 6*8*0)! + 2
39916803 = (3 + 9 + 1 + 6*8*0)! + 3
39916804 = (3 + 9 + 1 + 6*8*0)! + 4
39916805 = (3 + 9 + 1 + 6*8*0)! + 5
39916806 = (3 + 9 + 1 + 6*8*0)! + 6
39916807 = (3 + 9 + 1 + 6*8*0)! + 7
39916808 = (3 + 9 + 1 + 6*8*0)! + 8
39916809 = (3 + 9 + 1 + 6*8*0)! + 9
479001601 = (4+7+(9*0)+0+1+(6*0))! + 1
479001602 = (4+7+(9*0)+0+1+(6*0))! + 2
479001603 = (4+7+(9*0)+0+1+(6*0))! + 3
479001604 = (4+7+(9*0)+0+1+(6*0))! + 4
479001605 = (4+7+(9*0)+0+1+(6*0))! + 5
479001606 = (4+7+(9*0)+0+1+(6*0))! + 6
479001607 = (4+7+(9*0)+0+1+(6*0))! + 7
479001608 = (4+7+(9*0)+0+1+(6*0))! + 8
479001609 = (4+7+(9*0)+0+1+(6*0))! + 9
6706022401 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 1
6706022402 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 2
6706022403 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 3
6706022404 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 4
6706022405 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 5
6706022406 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 6
6706022407 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 7
6706022408 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 8
6706022409 = (6 + 7*0 + 6 + 0*2 + 2 + 4*0 )! + 9
100590336001 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 1
100590336002 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 2
100590336003 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 3
100590336004 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 4
100590336005 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 5
100590336006 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 6
100590336007 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 7
100590336008 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 8
100590336009 = (1 + 0 + 0 + 5 + 9 + 3*3*6*0 + 0)! + 9
1609445376001 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 1
1609445376002 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 2
1609445376003 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 3
1609445376004 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 4
1609445376005 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 5
1609445376006 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 6
1609445376007 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 7
1609445376008 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 8
1609445376009 = (1 + 6 + 0 + 9 + 4*4*5*3*7*6*0 + 0)! + 9
27360571392001 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 1
27360571392002 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 2
27360571392003 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 3
27360571392004 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 4
27360571392005 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 5
27360571392006 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 6
27360571392007 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 7
27360571392008 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 8
27360571392009 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0 + 0)! + 9
...
27360571392099 = (2 + 7 + 3 + 6*0 + 5 + 7*1*3*9*2*0)! + 99
etc 

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SuperGrover Lets meet as little as we can
Joined: 12 Nov 2004 Posts: 1165 Location: USA

Posted: Fri Aug 25, 2006 11:44 am Post subject: 


theandygrant wrote:  120 = ((1+2)! + 0)! a bit less ugly 
Sorry, but ((1+2)!+0)! equals 720. _________________ There are only 10 kinds of people in the worldthose who know binary, and those who don't. 

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theandygrant This is the foul fiend Flibbertigibbet
Joined: 07 Feb 2004 Posts: 1264 Location: The Lethargic Dodecahedron

Posted: Fri Aug 25, 2006 4:40 pm Post subject: 


SuperGrover wrote:  theandygrant wrote:  120 = ((1+2)! + 0)! a bit less ugly 
Sorry, but ((1+2)!+0)! equals 720. 
Yeah, I just spotted that!
A bit less ugly and a bit less valid. LOL 

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jurismorte Thou whoreson cullionly barbermonger
Joined: 26 Jun 2006 Posts: 139

Posted: Fri Aug 25, 2006 11:57 pm Post subject: 


ASA wrote:  SuperGrover wrote:  If we have to use the digits in order, I submit:
729 = (7+2)^sqrt(9)
6859 = (6+8+5)^sqrt(9)
59319 = (5*9  3!*1)^sqrt(9)
117649 = ((1*1*7!/6!)^sqrt(4))^sqrt(9)
185193=((1+8 )*(5+1)+sqrt(9))^3
205379 = ((2!+0!)+(5+3)*7)^sqrt(9)
456533 = ((sqrt(4)*5+6)*53)^3
493039 = (4!*sqrt(9)+3^0+3!)^sqrt(9)
658503 = ((6+5)*(8 )5^0)^3
970299 = ((9+(7*0)+2)*9)^sqrt(9) 
Remember this sequence for future Series Series Questions. 
ASA, are you trying to get me to quit the Series Series series forever??
All this math is frightening me!!!
You guys/gals are WAY too smart for me.
jurismorte 

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VoyagerKing O ho monster
Joined: 23 Aug 2006 Posts: 13 Location: Michigan

Posted: Mon Aug 28, 2006 12:12 pm Post subject: 


Wow.
I had no idea all of this spinoff posting was going on in here. Makes my little teaser of 4 4s(which I did not realize was such a classic puzzle and is all over the internet) look like corn flakes!
You guys are amazing. And that makes me more determined to post something, someday, that will be fair, but even challenging for you!
But, uh, in the meantime, I better have some more Wheaties! _________________ VoyagerKing 

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