Analysis of 1 to 10^^^^^^^^^^10 (Long video)
Here, in this page I'll provide some analysis and milestones for the long video, counting from 1 to 10{10}10 by NO!.
Check out here for the video!
Note that once the exponents are added, the numbers were reduced / reset temporarily, only to increase later after a second.
Also note that not all timestamps listed here are accurate. That's why I added a question mark to indicate whether if it is true or not.
Timeline (Milestones are highlighted in bold):
0:00:00.56: Entered Class 1 (6)
0:00:01.81: Reached 100
0:00:05.45: Entered Class 2 (at least a million)
0:00:06.45: Switched to 10^n form, but the numbers got reset
0:00:06.86: Reached 10^10
0:00:07.41: Reached 10^50
0:00:07.86: Reached 10^100 (a googol)
0:00:08.83?: Reached 10^1000
0:00:09.07?: Reached 10^3003 (a millillion)
0:00:11.58?: Entered Class 3 (at least 10^1,000,000)
0:00:12.05?: Passed the largest known prime (2^82,589,933-1)
0:00:13.50: Reached 10^10^10
0:00:14.42: Reached 10^10^100 (a googolplex)
0:00:15.55?: Reached 10^10^3000 (approximately a killillion)
0:00:18:07?: Entered Class 4 (at least 10^10^1,000,000)
0:00:19.60: Reached 10^10^10^10
1st Skewes number,
0:00:20.10: Reached 10^10^10^100 (a googolduplex)
0:00:21.00?: Reached 10^10^10^3000 (approximately a kalillion)
0:00:22.80: Reached Class 5 (at least 10^10^10^1,000,000)
0:00:23.64: Reached 10^10^10^10^10
0:00:23.87: Passed the largest -illion by Bowers (multillion)
0:00:24.23: Reached 10^10^10^10^100 (a googoltriplex)
0:00:26.74: Reached Class 6 (at least 10^10^10^10^1,000,000) (Lower bound for tetration level)
0:00:27.49: Reached 10^10^10^10^10^10 = 10^^6 (hexalogue)
0:00:27.96: Reached 10^10^10^10^10^100 (a googolquadriplex)
0:00:30.45: Reached 10^10^10^10^10^10^10 = 10^^7 (heptalogue)
0:00:30.90: Reached 10^10^10^10^10^10^100 (a googolquintiplex)
0:00:33.33: Reached 10^10^10^10^10^10^10^10 = 10^^8 (octalogue)
0:00:33.52: Reached 10^10^10^10^10^10^10^100 (a googolsextiplex)
0:00:35.28: Reached 10^10^10^10^10^10^10^10^10 = 10^^9 (ennalogue)
0:00:35.57: Reached 10^10^10^10^10^10^10^10^100 (a googolseptiplex)
0:00:37.17: Reached 10^^10 (a decker)
0:00:38.17: Reached 10^^11 (an endekalogue)
0:00:39.68: Passed googoldeciplex
0:00:42.95: Switched from repeated "10^" to 10^^.
0:00:43.59: Passed 10^^100 (a giggol)
0:00:43.62: Passed E100#100 (a grangol), approximately 10^^101
0:00:43.68: Passed Mega (2 in a pentagon), approximately 10^^257
0:00:44.02: Passed 10^^1000 (a giggolchime or chilialogue)
0:00:45.49: Passed 10^^1,000,000
0:00:46.43: Passed 10^^10^10
0:00:46.45: Passed tritri (3^^^3), approximately 10^^10^13
0:00:46.88: Passed googol-stack, 10^^10^100
0:00:46.90: Passed googoldex
0:00:50.13: Passed googolplexiduex, 10^^10^10^100
0:00:53.09: Passed googolduplexiduex, 10^^10^10^10^100
0:00:55.03: Passed googoltriplexiduex, 10^^10^10^10^10^100
0:00:55.28: Passed "Devoided pan", 10^^10^10^10^10^683
0:01:01.47: 10^^10^^10, tria-taxis (lower bound for up-arrow notation level for the rest of the video)
0:01:04.34: Switched from 10^^ with repeated "10^" to 10^^10^^.
0:01:05.19: Passed giggolplex, 10^^10^^100
0:01:05.21: Passed grangoldex, E100#100#2 (approximately 10^^10^^101)
0:01:08.11: Passed 10^^10^^10^10
0:01:08.12: Passed 3^^^4 (approximately 10^^10^^10^12)
0:01:08.61: Passed googolduduex, 10^^10^^10^100
0:01:11.85: Passed 4^^^4 (approximately 10^^10^^10^10^154)
0:01:23.17: Passed tetra-taxis, 10^^10^^10^^10
0:01:26.49: Passed giggolduplex, 10^^10^^10^^100
0:01:26.54: Passed grangoldudex, E100#100#3 (approximately 10^^10^^10^^101)
0:01:27.45: Passed "Ekatommyriaplo ekatommyriaplekatommyriakis ekatommyriaplo ekatommyriaplekatommyriakis ekatommyriaplo ekatommyriaplekatommyriakis ekatommyrio" (approximately 10↑↑10↑↑10↑↑2,000,001)
0:01:27.89: Passed 3^^^5 (approximately 10^^10^^10^^10^12)
0:01:28.16: Passed googoltriduex, 10^^10^^10^^10^100
0:01:29.82: Passed 4^^^5 (approximately 10^^10^^10^^10^10^154)
0:01:31.43: Passed boogafive, 5^^^5 (approximately 10^^10^^10^^10^10^10^2185)
0:01:37.16: Passed penta-taxis, 10^^10^^10^^10^^10 = 10^^^5
0:01:37.43: Passed giggoltreplex, 10^^10^^10^^10^^100
0:01:38.81: Passed 3^^^6 (approximately 10^^10^^10^^10^^10^12)
0:01:40.00 (100 seconds): Reached 10^^10^^10^^10^^10^1000000
At this point, I will no longer include the centisecond part, and just stick to the h:m:s instead.
0:01:41: Passed 4^^^6 (approximately 10^^10^^10^^10^^10^10^154)
0:01:42: Passed 5^^^6 (approximately 10^^10^^10^^10^^10^10^10^2185)
0:01:43: Passed 6^^^6 (approximately 10^^10^^10^^10^^10^10^10^10^36,305)
0:01:46: Passed hexa-taxis, 10^^^6
0:01:48: Passed giggolquadriplex, 10^^10^^10^^10^^10^^100
0:01:55: Passed 7^^^7 (approximately (10^^)^5 (10^)^5 695,975)
0:01:58: Passed hepta-taxis, 10^^^7
0:01:58: Passed giggolquintiplex, 10^^10^^10^^10^^10^^10^^100
0:02:04: Passed 8^^^8 (approximately (10^^)^6 (10^)^6 13*10^7)
0:02:06: Passed ogda-taxis, 10^^^8
0:02:12: Passed 9^^^9
0:02:14: Passed enna-taxis, 10^^^9
0:02:20: Passed deka-taxis, 10^^^10
0:02:25: Passed f_4(10)
0:02:25: Passed megiston, 10[5]
0:02:26: Passed gaggol, 10^^^100
0:02:26: Passed 10^^^10^10
At this point, I will name some of the googolisms listed in Googology Wiki.
0:02:26: 3^^^3^^3
0:02:27: googolthrex, 10^^^10^100
0:02:28: 4^^^4^^4
0:02:30: Invenire potes, 10^^^(E43451#4)
0:02:31: dekalogia-taxis 10^^^10^^10
0:02:33: giggoltrex, 10^^^10^^100
0:02:34: grahal, 3^^^^3 = 3^^^3^^^3 = 3^^^3^^3^^3 ~ 10^^^10^^10^13
0:02:34: googolduexitrex, 10^^^10^^10^100
0:02:35: googolplexduexitrex, 10^^^10^^10^10^100
0:02:38: Soman (DLM number)
0:02:40: Triataxia-taxis (or tria-du-taxis), 10^^^10^^10^^10
0:02:40: Giggolplexitrex, 10^^^10^^10^^100
0:02:41: Googolduduexitrex, 10^^^10^^10^^10^100
0:02:42: Grand megision, (3 in a pentagon) in a pentagon
0:02:47: Tetrataxia-taxis (or tetra-du-taxis), 10^^^10^^10^^10^^10
0:02:47: Giggolduplexitrex, 10^^^10^^10^^10^^100
0:02:49: Great megision, (4 in a pentagon) in a pentagon
0:02:51: Tooqnolplex / Pentataxia-taxis (or penta-du-taxis), 10^^^10^^10^^10^^10^^10 = 10^^^10^^^5
0:02:54: Hexataxia-taxis (or hexa-du-taxis), 10^^^10^^10^^10^^10^^10^^10 = 10^^^10^^^6
0:02:55: Giggoltriplexitrex, 10^^^10^^10^^10^^10^^100
0:03:00: 10^^^ (10^^)^6 (10^)^6 898
0:03:07: Tria-petaxis, 10^^^^3
0:03:07: Gaggolplex, 10^^^10^^^100
0:03:08: Dialogia-taxia-taxis or dialogia-du-taxis, 10^^^10^^^10^10
0:03:14: Kai aplá psáchnoume, 10^^^10^^^10^^60
0:03:14: Giggolduthrex, 10^^^10^^^10^^100
0:03:21: Triataxiataxia-taxis, 10^^^10^^^10^^10^^10
0:03:21: Giggolplexiduthrex, 10^^^10^^^10^^10^^100
0:03:24: A-oogra, 3[6] (3 in a hexagon)
0:03:24: Tritet, 4^^^^4 (approximately 10^^^10^^^10^^10^^10^10^154)
0:03:29: Giggolduplexiduthrex, 10^^^10^^^10^^10^^10^^100
0:03:33: 10^^^10^^^10^^10^^10^^10^^100
0:03:49: Tetra-petaxis, 10^^^^4
0:03:49: Gaggolduplex, 10^^^10^^^10^^^100
0:03:53: Giggoltrethrex, 10^^^10^^^10^^^10^^100
0:03:58: Giggolplexitrethrex, 10^^^10^^^10^^^10^^10^^100
0:04:00: Das ornamentis, 10^^^10^^^10^^^10^^10^^10^^10^10^10^10^775
0:04:03: Penteto, 5^^^^5 (approximately 10^^^10^^^10^^^10^^10^^10^^10^10^10^2184)
0:04:13: Penta-petaxis, 10^^^^5
0:04:14: Gaggoltriplex, 10^^^10^^^10^^^10^^^100
0:04:14: googolquadrithrex, 10^^^10^^^10^^^10^^^10^100
0:04:15: googolplexiquadrithrex, 10^^^10^^^10^^^10^^^10^10^100
0:04:18: giggolquadrithrex, 10^^^10^^^10^^^10^^^10^^100
0:04:22: giggolplexiquadrithrex, 10^^^10^^^10^^^10^^^10^^10^^100
0:04:27: giggolduplexiquadrithrex, 10^^^10^^^10^^^10^^^10^^10^^10^^100
0:04:30: 6^^^^6
0:04:31: 10^^^10^^^10^^^10^^^10^^^7
0:04:38: Hexa-petaxis, 10^^^^6
0:04:38: Gaggolquadriplex, 10^^^10^^^10^^^10^^^10^^^100
0:04:41: giggolquintithrex, (10^^^)^5 10^^100
0:04:44: giggolplexiquintithrex, (10^^^)^5 10^^10^^100
0:04:50: 7^^^^7
0:04:54: Hepta-petaxis, 10^^^^7
0:04:54: Gaggolquintiplex, (10^^^)^5 10^^^100
0:04:58: giggolsextithrex, (10^^^)^6 10^^100
0:05:00: giggolplexisextithrex, (10^^^)^6 10^^10^^100
0:05:07: 8^^^^8
0:05:10: Octa-petaxis / ogda-petaxis, 10^^^^8
0:05:10: Gaggolsextiplex, (10^^^)^6 10^^^100
0:05:12 : giggolseptithrex, (10^^^)^7 10^^100
0:05:23: 9^^^^9
0:05:25: Enna-petaxis, 10^^^^9
0:05:37: Deka-petaxis, 10^^^^10
0:05:52: Geegol, 10^^^^100
0:05:53: Googoltetrex, 10^^^^10^100
0:05:55: Giggoltetrex, 10^^^^10^^100
0:06:00: Googoltriduexitetrex, 10^^^^10^^10^^10^^10^100
Skip ahead (for now):
0:12:44: Deka-exaxis, 10^^^^^10
0:13:03: Gigol, 10^^^^^100
0:26:02: Goggol, 10^^^^^^100
0:50:03: Gagol, 10^^^^^^^100
1:00:00: 10^^^^^^^10^^^^^^^ (10^^^^)^6 10^^10^^10^^10^^6465
1:33:58: Gocgol, 10^^^^^^^^100
2:00:00: Googoldupentexinonihexitriheptexiduoctex
2:54:33: Gengol, 10^^^^^^^^^100
5:21:37: Tridecal, 10^^^^^^^^^^10 (first time)
5:22:23: Tridecal, 10^^^^^^^^^^10 (a celebration)