M168848941 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	0.3530	58.8235%	-	-	-	-	0.3530	58.8235%	0.0000%
PrimeNet	2⁷⁴	22.6585	62.1622%	700000	40000000	28.0368	5.5293%	50.6954	64.2543%	2.0922%
GPU72	2⁷⁸	362.5519	64.1026%	1000000	40000000	30.8360	3.9993%	393.3879	65.5382%	1.4357%
Difference	-10	-362.1989	-5.2790%	-1000000	-40000000	-30.8360	-3.9993%	-393.0349	-6.7147%	-6.7147%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
168848941	850998662641	12	39.630	2520 2³ × 3² × 5 × 7	2007-11-16	9	9	6.703e-10	8.881e-5	0.0002
168848941	11997730351697	14	43.448	35528 2³ × 4441	2007-11-16	8	4441	1.173e-8	0.0025	0.0045
168848941	1091352766268327	16	49.955	3231743 41 × 78823	2007-11-16	41	78823	6.713e-7	0.0428	0.0791
168848941	85671096752411927	17	56.250	253691543 7 × 107 × 338707	2015-03-19	107	338707	9.036e-5	0.1831	0.3401
168848941	195347902514951719921	21	67.405	578469433560 2³ × 3 × 5 × 4820578613	2022-07-08	8	4820578613	0.1944	2,591.7	4,840.6

exponent	prime factors	composite factor	digits	bits*
168848941	850998662641 11997730351697	10210052484021481584851777	26	83.078
168848941	850998662641 1091352766268327	928739744563902133156471607	27	89.585
168848941	11997730351697 1091352766268327	13093756208265988735981800919	29	93.403
168848941	850998662641 85671096752411927	72905988763290268168137719207	29	95.880
168848941	11997730351697 85671096752411927	1027858717769582863458727490119	31	99.697
168848941	1091352766268327 85671096752411927	93497388429986242081124517136129	32	106.205
168848941	850998662641 195347902514951719921	166240803789948354159453798171361	33	107.035
168848941	11997730351697 195347902514951719921	2343731459143982969448754371055937	34	110.852
168848941	1091352766268327 195347902514951719921	213193473794408032530370101637242167	36	117.360
168848941	85671096752411927 195347902514951719921	16735669056739161999400073313723897767	38	123.654
168848941	850998662641 11997730351697 1091352766268327	11142769022181647483926082618183704767079	41	133.033
168848941	850998662641 11997730351697 85671096752411927	874706394205808079191808401790931541944279	42	139.328
168848941	850998662641 1091352766268327 85671096752411927	79566152514344398673066240712242666343656689	44	145.835
168848941	11997730351697 1091352766268327 85671096752411927	1121756454970849854864841434184898290395160913	46	149.653
168848941	850998662641 11997730351697 195347902514951719921	1994512337321169037662969930751905466003149617	46	150.483
168848941	850998662641 1091352766268327 195347902514951719921	181427361082830315467612979710064328636452783047	48	156.990
168848941	11997730351697 1091352766268327 195347902514951719921	2557837811326888237202519096349763099794068407399	49	160.807
168848941	850998662641 85671096752411927 195347902514951719921	14242031985687392809860510034296390231238806222647	50	163.285
168848941	11997730351697 85671096752411927 195347902514951719921	20079004459799574634305529930127220417282258296059 9	51	167.102
168848941	1091352766268327 85671096752411927 195347902514951719921	18264518720423527259555009473348385060368265838125 809	53	173.609
168848941	850998662641 11997730351697 1091352766268327 85671096752411927	95461324298910236312918900830187286504488919238099 6551233	57	189.283
168848941	850998662641 11997730351697 1091352766268327 195347902514951719921	21767165566917643715434177340699122227019228372010 17749280759	61	200.438
168848941	850998662641 11997730351697 85671096752411927 195347902514951719921	17087205942452112660694672610329062750097831773763 3023396281959	63	206.732
168848941	850998662641 1091352766268327 85671096752411927 195347902514951719921	15543081004861930270993320750591561418650498279201 430448906201569	65	213.240
168848941	11997730351697 1091352766268327 85671096752411927 195347902514951719921	21913277061116340612457419041239428663853913467039 5152884902647873	66	217.057
168848941	850998662641 11997730351697 1091352766268327 85671096752411927 195347902514951719921	18648169473091708683713098468653282220018601897444 7671440060886339402743212593	78	256.687

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-03-19T12:42:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	85671096752411927	56.250	17	3.35082e-5	2,363	6.88930e-5
2022-07-08T08:29:17	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	195347902514951719921	67.405	21	0.018	2,362	0.038
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	1091352766268327	49.955	16	6.71329e-7	2,363	1.38026e-6
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	11997730351697	43.448	14	1.17288e-8	2,363	2.41145e-8
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	195347902514951719921	67.405	21	0.194	2,362	0.400
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	850998662641	39.630	12	6.70334e-10	2,363	1.37821e-9
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	85671096752411927	56.250	17	9.03601e-5	2,363	0.000

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront