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+---- Thread: Number Choosing Contest. (/showthread.php?tid=1608)
RE: Number Choosing Contest. - Reyweld - 05-16-2016
54345
RE: Number Choosing Contest. - Kaynato - 05-16-2016
(05-15-2016, 11:43 PM)Sruixan Wrote: »(05-15-2016, 04:53 AM)Kaynato Wrote: »Woah there!! Another close one with the number rules. What are you even trying?
Python and a hunch. Trouble is, I still don't know what rule 1 is, and I haven't the greatest understanding of the formatting rules, soooooo...
sqrt(121)
3.48757 x 10^5
(sum of the first twenty natural numbers) - (sum of the first thirteen natural numbers)
11: Breaks
1 2 3 5
348757: Breaks
1 2 5
119: Breaks
5 (Close again!!)
(05-16-2016, 02:28 AM)Reyweld Wrote: »54345
Breaks
1 2 3 5 R
RE: Number Choosing Contest. - OTTO - 05-16-2016
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RE: Number Choosing Contest. - Sruixan - 05-16-2016
...huh. That's strange.
sqrt(196)
sqrt(7056)
sqrt(8100)
sqrt(9216)
RE: Number Choosing Contest. - Kaynato - 05-16-2016
Breaks
1 2 3 5 R U
(05-16-2016, 05:06 PM)Sruixan Wrote: »...huh. That's strange.
sqrt(196)
sqrt(7056)
sqrt(8100)
sqrt(9216)
14: Breaks
2 3 5 U
84: Breaks
1 2 3 5 U
90: Breaks
1 2 3 5 U
96: Breaks
1 2 3 5 U
RE: Number Choosing Contest. - OTTO - 05-16-2016
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RE: Number Choosing Contest. - Kaynato - 05-16-2016
Breaks
2 3 5
RE: Number Choosing Contest. - OTTO - 05-16-2016
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RE: Number Choosing Contest. - a52 - 05-16-2016
211: three-digit prime number with two ones in a row, ending in a one.
311: same
811: same
911: same
RE: Number Choosing Contest. - Kaynato - 05-16-2016
C'mon, folks. You've got plenty numbers which satisfied the rules which you're having trouble with.
There's also no real reason to keep putting in numbers which you know break some rule. Process of elimination, right?
Help each other out or something. It's fine to talk about what you think are the rules.
223: Breaks
1 2 3 5 R U
Passes
4 V
224: Breaks
1 2 3 5 R U
Passes
4 V
(05-16-2016, 08:13 PM)a52 Wrote: »211: three-digit prime number with two ones in a row, ending in a one.
311: same
811: same
911: same
211:
Breaks
2 3 5 R U
Passes
1 4 V
311:
Breaks
2 3 5 R U
Passes
1 4 V
811:
Breaks
1 2 3 5 R U
Passes
4 V
911:
Breaks
1 2 3 5 R U
Passes
4 V
RE: Number Choosing Contest. - Sruixan - 05-16-2016
I mean, I could theoretically just start posting numbers that conform to the three rules I think I've got. There are not that many of reasonable size, so it probably would not take too long to find one that passes everything.
(on that note, you haven't indicated whether or not 811 and 911 pass rule 3 - it is my understanding that they do not)
RE: Number Choosing Contest. - Kaynato - 05-16-2016
You are correct - I have updated the previous post appropriately.
It is easier, also, to just say what you suppose the rules are. Brute-forcing is also permissible but less preferred.
RE: Number Choosing Contest. - btp - 05-16-2016
I am frustrated at 100 and rule 5.
These numbers passed rule 1:
Rule 4 is natural numbers greater than zero.
Rule 5 is effectively perfect squares except 100.
RE: Number Choosing Contest. - btp - 05-16-2016
Guesses:
1849
1369
361
3721
400
RE: Number Choosing Contest. - Sruixan - 05-16-2016
It's worth noting that -4 also passed rule 5, though to be honest given how out of my way I went to get 331130809 I think "perfect squares, bar possible mistakes" is the de facto rule 5.
Rule 3, if you want to spoil yourself:
(yes I did get that from just 0, 1, 3, 5, 7, 9 & 85)
(sorry)
RE: Number Choosing Contest. - Sruixan - 05-16-2016
It's worth noting that Kaynato was able to tell us that the largest prime broke rule 2, but computation was a limiting factor in determining its status with respect to rules 1 and 3. This suggests that rule 1 is also not an immediately obvious property of a number, whilst 2 probably is.
EDIT: actually since I'm wasting my posts I may as well ask for the gaps at the start of my spreadsheet to be filled:
12
15
RE: Number Choosing Contest. - btp - 05-16-2016
Rule 3 talk:
It's worth mentioning that rule 1 is also not large-number friendly.
And that rule 2, possibly, is prime-exclusive.
Edit: Number Ninja'ed.
RE: Number Choosing Contest. - Sruixan - 05-16-2016
The thing that got a "that's strange" out of me earlier is that rule 1 compliant numbers seemed to come in clumps: {1}, {4}, {13, 14, ??, 16}, {85, ... ,95}, {119, 120, 121}. That none of 84, 90 and 96 passed it irks me something fierce. It'll be interesting actually to see if 15 works...
RE: Number Choosing Contest. - OrangeAipom - 05-16-2016
e
-1/3
17
RE: Number Choosing Contest. - OTTO - 05-16-2016
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RE: Number Choosing Contest. - Sruixan - 05-16-2016
There is likely only one correct number below 10^14.
He says, looking at his current shortlist.
("short" is appropriate)
RE: Number Choosing Contest. - a52 - 05-16-2016
He's going way more complicated than I expected. I like this.
Since if we're working together we can't really have the winner become the new leader, should we elect the next one?
Testing for rule one:
-121
-123454321
-119
-120
-1
RE: Number Choosing Contest. - a52 - 05-16-2016
Actually, numbers that are in rule one may have something to do with the number of zeroes in binary. (16 has four zeroes, all others have three or less). Can somebody test some powers of two?
RE: Number Choosing Contest. - btp - 05-16-2016
(05-16-2016, 10:44 PM)Sruixan Wrote: »OTTO Wrote:
There is likely only one correct number below 10^14.
He says, looking at his current shortlist.
("short" is appropriate)
I'd suggest that, if your short list is less than 5 numbers long, then given the stipulations of the game, you've effectively solved the rules here.
RE: Number Choosing Contest. - a52 - 05-16-2016
Not necessarily. If we were only told whether it passed ALL the rules, it would be a little unfair. However, we know which pass which rules individually, and its only a problem to combine them. Once we figure out the rules, it will be easy to solve for a satisfying solution, no matter how large it is.
also:
2
4
16
256
65636