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+---- Thread: Number Choosing Contest. (/showthread.php?tid=1608)
RE: Number Choosing Contest. - Kaynato - 05-18-2016
13
17
19
-1
12
RE: Number Choosing Contest. - a52 - 05-18-2016
(05-18-2016, 03:38 AM)btp Wrote: »66:
7
9
11
Breaks rules 3, 4, and 5
7:
Breaks rules 1 and 4
9:
Breaks rules 2, 3, and 4
11:
Breaks rules 2, 4, and 5
(05-18-2016, 03:42 AM)Kaynato Wrote: »13
17
19
-1
12
13:
Breaks rules 4 and 5
17:
Breaks rules 1, 2, 4, and 5
19:
Breaks rules 2 and 4
-1:
Breaks prerequisite ε
12:
Breaks rules 2, 3, 4, and 5
RE: Number Choosing Contest. - a52 - 05-18-2016
Also, I made two mistakes in my earlier post. I've fixed them now.
RE: Number Choosing Contest. - Kaynato - 05-18-2016
I think I know the first rule.
No clue about the second.
10
14
15
16
18
RE: Number Choosing Contest. - OTTO - 05-18-2016
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RE: Number Choosing Contest. - Kaynato - 05-18-2016
20
21
22
23
24
RE: Number Choosing Contest. - Sruixan - 05-18-2016
25
2003
9157
RE: Number Choosing Contest. - btp - 05-18-2016
73
97
70
113
Largest known prime
RE: Number Choosing Contest. - a52 - 05-18-2016
(05-18-2016, 05:22 AM)Kaynato Wrote: »I think I know the first rule.
No clue about the second.
10
14
15
16
18
10:
Breaks 2, 3, 4, and 5
14:
Breaks 3, 4 and 5
15:
Breaks 3 and 5 (First to pass rule 4!)
16:
Breaks 2, 3, and 4
18:
Breaks 2, 3, 4, and 5
False. The integers are infinite.
-5:
Breaks prerequisite ε
(05-18-2016, 06:44 AM)Kaynato Wrote: »20
21
22
23
24
20:
Breaks rules 3, 4, and 5
21:
Breaks rules 3, 4, and 5
22:
Breaks rules 3, 4, and 5
23:
Breaks rules 2, 4, and 5
24:
Breaks rules 2, 3, 4, and 5
(05-18-2016, 12:20 PM)Sruixan Wrote: »25
2003
9157
25:
Breaks rules 2, 3, 4, and 5
2003:
Breaks rules 4 and 5
9157:
Breaks rules 1, 4, and 5.
RE: Number Choosing Contest. - Kaynato - 05-18-2016
Still no clue about even rule 2.
26
27
28
29
30
RE: Number Choosing Contest. - Sruixan - 05-18-2016
That last batch would appear to contain counterexamples to my ideas for rules 2 and 3. Hmph.
31
32
225
811
50625
RE: Number Choosing Contest. - a52 - 05-18-2016
whoops, 9157 does NOT break rule 3.
Sorry.
RE: Number Choosing Contest. - a52 - 05-18-2016
(05-18-2016, 06:55 PM)Kaynato Wrote: »Still no clue about even rule 2.
26
27
28
29
30
26:
Breaks rules 2, 3, and 4
27:
Breaks rules 1, 3, 4, and 5
28:
Breaks rules 3 and 4
29:
Breaks rules 4 and 5
30:
Breaks rules 2, 3, 4, and 5
(05-18-2016, 07:22 PM)Sruixan Wrote: »That last batch would appear to contain counterexamples to my ideas for rules 2 and 3. Hmph.
31
32
225
811
50625
31:
Breaks rules 2 and 5
32:
Breaks rules 2, 3, 4, and 5
225:
Breaks rules 3, 4, and 5
811:
Breaks rules 4 and 5
50625:
Breaks rules 3, 4, and 5
RE: Number Choosing Contest. - Sruixan - 05-18-2016
How does 631 fare?
RE: Number Choosing Contest. - a52 - 05-18-2016
(05-18-2016, 08:00 PM)Sruixan Wrote: »How does 631 fare?
Breaks only rule 4!
RE: Number Choosing Contest. - Sruixan - 05-18-2016
Right, now I need to figure out what rule 4 is...
39
63
95
8191
RE: Number Choosing Contest. - Dragon Fogel - 05-18-2016
654321
8658
RE: Number Choosing Contest. - Kaynato - 05-18-2016
Does 18 really not break rule 2?
In either case I think I've got rules 2 and 3 and 4. Good times. Thank Mathematica for generating my number candidates.
223
239
463
911
1231
RE: Number Choosing Contest. - OTTO - 05-18-2016
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RE: Number Choosing Contest. - Kaynato - 05-18-2016
![[Image: c1791b7b5b9424a818204f249387e19a.png]](https://i.gyazo.com/c1791b7b5b9424a818204f249387e19a.png)
1583
2143
2239
2351
2591
RE: Number Choosing Contest. - Sruixan - 05-18-2016
Kaynato, if I understand what you think rule 4 is correctly, you're going to have to count for quite a while to get something that is also rule 5 compliant.
Up to 33391, to be exact.
RE: Number Choosing Contest. - Kaynato - 05-18-2016
You are not necessarily correct.
In either case, my suspect rule 4 is probably wrong. It feels too simple.
The following numbers should follow rules 1, 2, 3, and 5.
These should confirm whether I am correct about rule 4.
631
2269
5419
9241
33391 (follows all rules if I am correct)
Edit: Oh, as it turns out I miswrote my rule 4 :v
I'll still submit these.
RE: Number Choosing Contest. - Sruixan - 05-18-2016
I agree with you that it seems a bit simple in comparison, and that the numbers you've submitted would then follow the rules that you say they would. I got to 33391 with a calculator rather than Mathematica, but it still stands that it may pass everything...
RE: Number Choosing Contest. - Kaynato - 05-18-2016
The first four numbers in the previous area then should break rule 4.
For extra safety, the following numbers pass rules 1, 2, 3, and 5
42841
114661
260191 (Also rule 4)
351919 (Also rule 4)
1653919 (Also rule 4)
RE: Number Choosing Contest. - a52 - 05-18-2016
(05-18-2016, 08:18 PM)Kaynato Wrote: »Does 18 really not break rule 2?
Oh, right, yes it does. Let me change that.