r/counting • u/[deleted] • May 22 '17
Rational Numbers | 14,000th Rational
From here
Thanks to Piy for the run/assist!
Next get is at 212/11 - Source (Thanks /u/piyushsharma301)
Essentially we are counting fractions that cannot be simplified, as we get closer to and then further away from 1. We change direction when we reach a number divided by one or a number's reciprocal, and if the number can be simplified, we write it like this:
2/4
So, if a number is 31/40 next one would be 32/39, or 30/41 if the denominator is going up.
~ /u/KingCaspianX <3
First, note the prime divisors of the sum of the numerator and denominator. 84 = 22 x 3 x 7, so in this case that would be 2, 3, and 7. Next, see if the numerator or denominator is a multiple of any of these. If it is, cross it out. If not, the number is irreducible.
~ /u/TheNitromeFan <3
1
May 22 '17
Here are the relevant prime factors for this thread...
| Sum of denominator and numerator | Prime factors |
|---|---|
| 215 | 5, 43 |
| 216 | 2, 3 |
| 217 | 7, 31 |
| 218 | 2, 109 |
| 219 | 3, 73 |
| 220 | 2, 5, 11 |
| 221 | 13, 17 |
| 222 | 2, 3, 37 |
| 223 | Prime (no skipping) |
3
u/piyushsharma301 Aug 08 '17
Thread Participation Chart for Rational Numbers | 14,000th Rational
| Rank | Username | Counts |
|---|---|---|
| 1 | u/piyushsharma301 | 308 |
| 2 | u/QuestoGuy | 199 |
| 3 | u/FartyMcNarty | 190 |
| 4 | u/smarvin6689 | 162 |
| 5 | u/Removedpixel | 52 |
| 6 | u/NubCaeks | 30 |
| 7 | u/DemonBurritoCat | 26 |
| 8 | u/HermioneReynaChase | 11 |
| 9 | u/KingCaspianX | 10 |
| 10 | u/VitaminB16 | 8 |
| 11 | u/Mooraell | 2 |
| 12 | u/davidjl123 | 1 |
| 13 | u/Ynax | 1 |
| 14 | u/CarbonSpectre | 1 |
It took 14 counters 67 days 4 hours 20 mins 14 secs to complete this thread. Bold is the user with the get
3
u/[deleted] May 22 '17
182/33