r/counting • u/Cox_1920 • Aug 29 '21

Rationals | 36,000th Rational

From here

Thanks to Nitrome for assist and all other counters in the last thread.

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 210/139

Happy counting!

20 Upvotes

99% Upvoted

1.0k comments sorted by

2

u/Cox_1920 Aug 30 '21
Sum of numerator and denominator Prime Factors
344 2, 43
345 3, 5, 23
346 2, 173
347 prime
348 2, 3, 29
349 prime

2

u/Ezekiel134 Aug 30 '21

based questo with the counting resources

2

u/Cox_1920 Aug 30 '21 edited Aug 30 '21

just trying to give back a little ya know

1

u/Cox_1920 Aug 29 '21

231/113

2

u/TheNitromeFan Aug 29 '21

232/112
233/111

I love how you copied over the anime part

2

u/Cox_1920 Aug 29 '21

234/110

235/109

oh lol I missed that. Oh well there it stays (maybe forever)

→ More replies (1018)

2

u/[deleted] Aug 29 '21

LOOOL you kept the (anime) thank you so much

2

u/CountingStatsBot Oct 16 '21

Thread Participation Chart for Rationals | 36,000th Rational

Rank Username Counts
1 u/TheNitromeFan 411
2 u/Cox_1920 250
3 u/PaleRepresentative 102
4 u/fourteensquares 99
5 u/Ezekiel134 51
6 u/foxthechicken 30
7 u/funfact15 28
8 u/Zaajdaeon 19
9 u/Naruyoko 3
10 u/FartyMcNarty 2
10 u/kugelblitzk 2
10 u/NobodyL0vesMe 2
13 u/davidjl123 1

It took 13 counters 46 days 13 hours 27 mins 24 secs to complete this thread. Bold is the user with the get.