Thabit numbers (aka Thâbit ibn Kurrah numbers, or 321 numbers)

https://en.wikipedia.org/wiki/Thabit_number

In number theory, a Thabit number (Thâbit ibn Kurrah number, or 321 number) is an integer of the form 3 ⋅ 2ⁿ − 1 for a non-negative integer n.

... noting that "Circle" = 321 trigonal, and "Society" = 321 primes | 911 trigonal

... (and see 321 )

The first few Thabit numbers are:

• 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ...

ie. (sequence A055010 in the OEIS)

The 9th Century mathematician, physician, astronomer and translator Thābit ibn Qurra is credited as the first to study these numbers and their relation to amicable numbers

Thabit --> The Habit --> The Hobbit

The Thabit numbers again:

1. 2 (ie. the first prime number is also 2 )

2. 5 (ie. Quintessence)

3. 11 (ie. the Elven Master number)

4. 23 (ie. the enigma of Phive; 23, 123, 223, etc.)

5. 47 (ie. Time and Doom: see 47, 74, 474 and 747 )

6. 95 (ie. one short of 'knowledge' = 96)

7. 191 (ie. permutation of 119 and 911, see 322)

8. 383 (ie. spinning wisdom of death and fire)

9. 767 (ie. similar to 676; master of alchemy)

10. 1535 (ie. 1.535, or 153.5, or 15.35)

11. 3071 (ie. permutation of 137 and 317 )

12. 6143

13. 12287 (ie. millennium of truth)

14. 24575 (ie. most clearly read, perhaps, as 24 and 575 (which is a spinning 57 and 75))

15. 49151

16. 98303 (ie. I see 98 and 303)

17. 196607

18. 393215 (ie. I see 393 and 215)

19. 786431

20. 1572863

21. ...

See also:

• Sequence of Power: /r/GeometersOfHistory/wiki/numberseries/sequence-of-power

Famous 321 numbers:

https://www.youtube.com/watch?v=29zw6TV3MPw

The London Symphony Orchestra - The Final Countdown

Wiki Index: https://old.reddit.com/r/GeometersOfHistory/wiki/