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+---- Thread: Number Choosing Contest. (/showthread.php?tid=1608)
RE: Number Choosing Contest. - Sruixan - 05-16-2016
It is six numbers long.
RE: Number Choosing Contest. - Sruixan - 05-16-2016
@a52: 111 passes rule 1 and has binary expression 1101111; rule 5 fails rule 1 and has binary expression 101.
RE: Number Choosing Contest. - OrangeAipom - 05-16-2016
how does a rule fail another rule
RE: Number Choosing Contest. - a52 - 05-16-2016
@Sruixan
Yeah, good point.
RE: Number Choosing Contest. - Sruixan - 05-17-2016
(05-16-2016, 11:58 PM)OrangeAipom Wrote: »how does a rule fail another rule
My brain fails rule 6, which is "make sense at all times".
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-16-2016, 10:08 PM)btp Wrote: »I am frustrated at 100 and rule 5.
[numerals removed for brevity]
Rule 4 is natural numbers greater than zero.
Rule 5 is effectively perfect squares except 100.
I suppose exceptions are a good way to mislead.
But you're not wrong.
(05-16-2016, 10:13 PM)btp Wrote: »Guesses:
1849
1369
361
3721
400
1849: Breaks
2 3 R U
1369: Breaks
1 2 3 R U
361: Breaks
2 3 R U
3721: Breaks
1 2 3 R U
400: Breaks
2 3 R U
(05-16-2016, 10:22 PM)Sruixan Wrote: »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
Takes a while and I have some resources but I don't think I can handle a number that large without getting into number theory more than I need to right now.
12: Breaks
2 3 5 R U
15: Breaks
1 2 5 R U
(05-16-2016, 10:39 PM)OrangeAipom Wrote: »e
-1/3
17
e: Did you mean - "Euler's constant?"
Results are displayed:
Breaks
Rule 1: Indefinite. Failed.
Rule 2: Failed.
Rule 3: Indefinite. Failed.
Rule 4: Failed.
Rule 5: Failed.
Breaks R U
-1/3
Rule 1: Failed.
Rule 2: Failed.
Rule 3: Indefinite. Failed.
Rule 4: Failed.
Rule 5: Failed.
Breaks R U
17: Breaks
1 2 5 R U
(05-16-2016, 11:37 PM)a52 Wrote: »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
Sure, election's fine, once someone gets it.
-121: Didn't we do these a while ago?
Breaks:
3 4 R U
-123454321: Breaks
3 4 R U
-119: Breaks
4 5 R U
-120: Breaks
3 4 5 R U
-1: Breaks
2 4 R U
(05-16-2016, 11:52 PM)a52 Wrote: »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
Good way to put it.
Breaks rule 1: 2, 65636 (I get the feeling this wasn't the number you wanted)
Breaks rule 2: 2, 4, 16, 256, 65636
Breaks rule 3: All of these.
Breaks rule 4: None of these.
Breaks rule 5: 65636.
Breaks rule R: All
Breaks rule U: All
Breaks rule V: None
RE: Number Choosing Contest. - Schazer - 05-17-2016
I've noticed numbers ending in non-zero even numbers tend to not pass Rule2?
2636
1084674
28672
209678
30560
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-17-2016, 01:59 AM)Schazer Wrote: »I've noticed numbers ending in non-zero even numbers tend to not pass Rule2?
2636
1084674
28672
209678
30560
Breaks...
1: 1084674, 28672, 30560
2: 2636, 1084674, 28672, 30560
3: All
4: None
5: All
R: All
U: All
V: None
RE: Number Choosing Contest. - OrangeAipom - 05-17-2016
imaginary 420
72
99
44100
45369
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-17-2016, 02:40 AM)OrangeAipom Wrote: »imaginary 420
72
99
44100
45369
Breaks...
1: 420i,
2: All except 45369
3: All except 99
4: 420i
5: 420i, 72, 99
R: All except 420i
U: All except 420i
V: None
RE: Number Choosing Contest. - OrangeAipom - 05-17-2016
100+99i
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-17-2016, 03:06 AM)OrangeAipom Wrote: »100+99i
1: Invalid. Failed.
2: Invalid. Failed.
3: Invalid. Failed.
4: Failed.
5: Failed.
Passes format rules.
RE: Number Choosing Contest. - a52 - 05-17-2016
passes format rules, interesting
100 + 21
100 + 19
91 + 6x, where x = 5.
RE: Number Choosing Contest. - OrangeAipom - 05-17-2016
The Glaisher–Kinkelin constant A
RE: Number Choosing Contest. - a52 - 05-17-2016
Graham's number
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-17-2016, 03:50 AM)a52 Wrote: »passes format rules, interestingOh, fun times.
100 + 21
100 + 19
91 + 6x, where x = 5.
121: breaks 3 V
119: breaks 5 U V
121: breaks 3 V
(05-17-2016, 05:14 AM)OrangeAipom Wrote: »The Glaisher–Kinkelin constant A
Breaks all number rules, passes format rules.
(05-17-2016, 05:35 AM)a52 Wrote: »Graham's number
Come on.
Rules 1, 2, 3, 5 inconclusive. Effective failure.
Passes rule 4 and format rules.
Counts as no-pass. Success must be certain.
RE: Number Choosing Contest. - a52 - 05-17-2016
eighty six
80 seven
eighty 8
eighty-nine
four score and ten
RE: Number Choosing Contest. - OrangeAipom - 05-17-2016
266
-266i
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-17-2016, 06:31 AM)a52 Wrote: »eighty six
80 seven
eighty 8
eighty-nine
four score and ten
Breaks...
1: All
2: All
3: All
4: None
5: All
R: None
U: None
V: None
(05-17-2016, 03:01 PM)OrangeAipom Wrote: »266
-266i
266: Breaks
1 2 3 5 R U
-266i: Breaks
1 2 3 4 5 R U
RE: Number Choosing Contest. - btp - 05-17-2016
2^57,885,161 : (Largest known prime +1)
4000
202
18
1388741444313152705354935065649 : Largest number I could find that should pass 3 and 5.
RE: Number Choosing Contest. - Kaynato - 05-17-2016
(05-17-2016, 05:14 PM)btp Wrote: »2^57,885,161 : (Largest known prime +1)
4000
202
18
1388741444313152705354935065649 : Largest number I could find that should pass 3 and 5.
2^57,885,161
Rule 1: Computational resources not enough. Effective failure.
Rule 2: Breaks.
Rule 3: Breaks.
Rule 4: Passes.
Rule 5: Breaks.
4000: Breaks
2 3 5 R U
202: Breaks
2 3 5 R U
18: Breaks
1 2 3 5 R U
1388741444313152705354935065649:
Rule 1: Passes.
Rule 2: Passes.
Rule 3: Passes.
Rule 4: Passes.
Rule 5: Passes.
Breaks R U
RE: Number Choosing Contest. - a52 - 05-17-2016
holy shiT!
1 nonillion 388 octillion 741 septillion 444 sextillion 313 quintillion 152 quadrillion 705 trillion 354 billion 935 million 65 thousand 649
RE: Number Choosing Contest. - Sruixan - 05-17-2016
Welp. Never mind.
Just for the sake of closure: my list consisted of
2.0457529 × 10^7
1.43784081 × 10^8
2.0074072489 x 10^9
RE: Number Choosing Contest. - Sruixan - 05-17-2016
1.193532215121 x 10^12
1.0036851273801 x 10^13
4.1413201925481 x 10^13
...whose square roots you can see in bob's list. It was the OEIS that I used to get rule 3, for the record.
RE: Number Choosing Contest. - btp - 05-17-2016
okay so that passed all the number rules.
Is the goal of the game to find a number that meets the rules or is it to figure out what the rules are?
I'll format the top one for the former goal and submit a few more guesses for the latter.
1.388741444313152705354935065649 x 10^30
2110
1111
31
22