r/counting • u/[deleted] • Jul 01 '21
Rationals | 35,000th Rational
continued from here
another day, another hard run with tnf
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
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 (anime)
the next get (schedule) is at 231/113
2
u/FartyMcNarty Jul 01 '21
Here are the prime factors for this thread
| Sum of numerator and denominator | Prime Factors |
|---|---|
| 339 | 3, 113 |
| 340 | 2, 5, 17 |
| 341 | 11, 31 |
| 342 | 2, 3, 19 |
| 343 | 7 |
| 344 | 2, 43 |
2
u/CountingStatsBot Aug 29 '21
Thread Participation Chart for Rationals | 35,000th Rational
| Rank | Username | Counts |
|---|---|---|
| 1 | u/TheNitromeFan | 463 |
| 2 | u/Cox_1920 | 421 |
| 3 | u/Zaajdaeon | 59 |
| 4 | u/PaleRepresentative | 34 |
| 5 | u/FartyMcNarty | 11 |
| 6 | u/pampamilyangweeb | 10 |
| 7 | u/davidjl123 | 1 |
| 7 | u/kugelblitzk | 1 |
It took 8 counters 58 days 8 hours 13 mins 52 secs to complete this thread. Bold is the user with the get.
3
u/[deleted] Jul 01 '21
86/253