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+---- Thread: Number Choosing Contest. (/showthread.php?tid=1608)
RE: Number Choosing Contest. - a52 - 05-18-2016
(05-18-2016, 08:10 PM)Sruixan Wrote: »Right, now I need to figure out what rule 4 is...
39
63
95
8191
39:
Breaks Rules 2, 3, 4, 5
63:
Breaks rule 3
95:
Breaks rules 2, 3, 5
8191:
Breaks rule 5
(05-18-2016, 08:11 PM)Dragon Fogel Wrote: »654321
8658
654321:
Breaks rules 2, 3, 5
8658:
Breaks rules 3, 4, 5
(05-18-2016, 08:18 PM)Kaynato Wrote: »223
239
463
911
1231
All of these break rule 5
Breaks rules 1 and 3
(05-18-2016, 08:42 PM)Kaynato Wrote: »
1583
2143
2239
2351
2591
![[Image: c1791b7b5b9424a818204f249387e19a.png]](https://i.gyazo.com/c1791b7b5b9424a818204f249387e19a.png)
All of these break rule 5
(05-18-2016, 09:05 PM)Sruixan Wrote: »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.
Yup, up to exactly that number!
(I'm not answering the rest because it looks like the assumptions you made were probably correct)
1: Number must not contain 7 in base ten
2: Number must be one less than, one greater than, or equal to a multiple of 7
3: Number must be prime
4: Number must contain an F when written in hexadecimal
5: Number must be expressible as the sum or difference of two nonzero cubes
Prerequisites:
Looks like I made it a little easy. I'm surprised that you figured out rule 5 before rule 4. When did you figure out rule 5?
RE: Number Choosing Contest. - Kaynato - 05-18-2016
Right after I posted that one with the screenshot I figured I'd enter the ones which passed rule 5 into OEIS.
It gave me exactly what was needed.
The way I put together rule 4 was different, actually, but it works out all the same.
This is what I put together:
![[Image: 93e6f93d24338fdef5db76aaaf932ab9.png]](https://i.gyazo.com/93e6f93d24338fdef5db76aaaf932ab9.png)
RE: Number Choosing Contest. - Sruixan - 05-18-2016
(05-18-2016, 10:26 PM)a52 Wrote: »Looks like I made it a little easy. I'm surprised that you figured out rule 5 before rule 4. When did you figure out rule 5?
Well, a few minutes before I specifically asked for 631, knowing full well it passed rules 1, 2, 3 and 5...
(and yes like Kaynato I did so via OEIS)
RE: Number Choosing Contest. - Kaynato - 05-18-2016
Sruixan, are you up to run the next round?
RE: Number Choosing Contest. - Sruixan - 05-18-2016
Yep, can do. I'll be going to bed in a minute, so it'll either start if I get time over lunch tomorrow or (more likely) in my evening...
RE: Number Choosing Contest. - a52 - 05-18-2016
Man, I want Mathematica, but it is so expensive.
RE: Number Choosing Contest. - Sruixan - 05-19-2016
There are two numbers below 1,000,000 that pass all five of my chosen rules. These rules have been numbered 1-5 in no particular order, and are joined by four others, W-X-Y-Z, which cover both the presentation of the number and matters of general number-choosing etiquette. Any errors in my judgement of your numbers will be the fault of the Python script by which I am grading them and clearly not mine, despite the fact that it was I who wrote the script in the first place.
Good luck!
RE: Number Choosing Contest. - Kaynato - 05-19-2016
-1
0
1
2
3
RE: Number Choosing Contest. - a52 - 05-19-2016
999999
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 06:43 PM)Kaynato Wrote: »-1
0
1
2
3
-1: breaks WYZ & 1, 3, 4 and 5.
0: breaks WYZ & 2, 3 and 4. It strictly speaking passes 1 and fails 5, but you could contest me on either.
1: breaks YZ & 3, 4 and 5.
2: breaks YZ & 2, 3, 4 and 5.
3: breaks YZ & 2, 3, 4 and 5.
(05-19-2016, 06:45 PM)a52 Wrote: »999999
999999: breaks YZ & 1, 2, 4 and 5.
RE: Number Choosing Contest. - Kaynato - 05-19-2016
Four
The sum of two and three
factorial(3)
The fifth positive nonzero prime
Two raised to the third power
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 07:13 PM)Kaynato Wrote: »Four
The sum of two and three
factorial(3)
The fifth positive nonzero prime
Two raised to the third power
4: breaks XYZ & 2, 3, 4 and 5.
5: breaks XY & 2, 3, 4 and 5.
6: breaks XYZ & 2, 3, 4 and 5.
7: breaks XY & 3, 4 and 5.
8: breaks XY & 2, 3, 4 and 5.
For the record, people are more than welcome to try numbers above a million if they think it'll be informative. You never know!
RE: Number Choosing Contest. - Kaynato - 05-19-2016
3^2
5*2
10+1
1100 (base 2)
baker's dozen
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 07:31 PM)Kaynato Wrote: »3^2
5*2
10+1
1100 (base 2)
baker's dozen
9: breaks XYZ & 2, 3, 4 and 5.
10: breaks XYZ & 4 and 5.
11: breaks XYZ & 2, 4 and 5.
12: breaks XYZ & 2, 4 and 5.
13: breaks XY & 4 and 5.
RE: Number Choosing Contest. - Akumu - 05-19-2016
ONE MILLION
RE: Number Choosing Contest. - a52 - 05-19-2016
1234567890ABCDEFGHIJKLMNOPQRSTUVWXYZ36
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 07:54 PM)Akumu Wrote: »ONE MILLION
1000000: breaks XYZ & 1 and 5.
(thus making it the first number to pass rule 4)
RE: Number Choosing Contest. - Kaynato - 05-19-2016
Ackermann(6,199)
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 07:56 PM)a52 Wrote: »1234567890ABCDEFGHIJKLMNOPQRSTUVWXYZ36
*disgruntled sigh*
3126485650002806059265235559620383787531710118313327355: breaks YZ & 1, 2, 3, 4 and (almost certainly) 5 probably 5.
(05-19-2016, 08:01 PM)Kaynato Wrote: »Ackermann(6,199)
I BROUGHT THIS UPON MYSELF
*number omitted for brevity*: breaks XYZ & definitely 1, maybe 2, very certainly 3, I am absolutely not figuring out 4 and almost certainly 5 maybe 5.
RE: Number Choosing Contest. - Ixcaliber - 05-19-2016
hi sruix why do you do this to yourself?
my guess is 12
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 08:36 PM)Ixcaliber Wrote: »hi sruix why do you do this to yourself?
my guess is 12
I have no idea!
12: breaks YZ & 2, 4 and 5.
RE: Number Choosing Contest. - ICan'tGiveCredit - 05-19-2016
01001001001000000100110001001111010101100100010100100000010110010100111101010101001000000100001001000010010110010010000000111011001010010010100100101001
RE: Number Choosing Contest. - Sruixan - 05-19-2016
(05-19-2016, 10:50 PM)ICantGiveCredit Wrote: »01001001001000000100110001001111010101100100010100100000010110010100111101010101001000000100001001000010010110010010000000111011001010010010100100101001
1630767959559389054594297182400609699502827817: breaks XYZ & 1, 2 and 3. Having given it more thought, I don't think I can make judgements on rule 5 for numbers this large and will shortly edit my previous post to reflect this. This does pass rule 4, though! You may need some other examples bar this and a million to get anywhere with it, but at least it's something, right?
RE: Number Choosing Contest. - Akumu - 05-20-2016
TWO MILLION
RE: Number Choosing Contest. - Sruixan - 05-20-2016
(05-20-2016, 12:03 AM)Akumu Wrote: »TWO MILLION
2000000: breaks XYZ & 1, 2, 3, 4 and 5.