M3109333 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	2⁷⁰	76.8495	68.5714%	3950000	3145275210	21.6090	10.9825%	98.4585	72.0231%	3.4517%
PrimeNet	2⁶⁰	0.0494	63.3333%	13000	240000	0.0031	2.6436%	0.0525	64.3027%	0.9693%
GPU72	2⁶⁴	1.1447	65.6250%	14000	240000	0.0032	1.5080%	1.1480	66.1434%	0.5184%
Difference	+6	+75.7048	+2.9464%	+3936000	+3145035210	+21.6058	+9.4745%	+97.3106	+5.8797%	+2.9333%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3109333	18655999	8	24.153	3 3	-	1	3	7.193e-13	1.369e-7	2.512e-7
3109333	68405327	8	26.028	11 11	2008-09-07	1	11	2.882e-12	1.906e-7	2.512e-7
3109333	124373321	9	26.890	20 2² × 5	2008-09-07	4	5	2.888e-12	5.004e-7	1.005e-6
3109333	30807837262607	14	44.808	4954091 4954091	2008-09-30	1	4954091	9.905e-7	0.0333	0.0622
3109333	313088265782270292161	21	68.085	50346531841760 2⁵ × 5 × 7 × 11 × 8719 × 468697	2019-12-07	8719	468697	31.987	0.0042	0.0059

exponent	prime factors	composite factor	digits	bits*
3109333	18655999 68405327	1276169712106673	16	50.181
3109333	18655999 124373321	2320308552202679	16	51.043
3109333	68405327 124373321	8507797693080967	16	52.918
3109333	18655999 30807837262607	574750981163358929393	21	68.961
3109333	68405327 30807837262607	2107420182111416707489	22	70.836
3109333	124373321 30807837262607	3831673033177981707847	22	71.698
3109333	18655999 68405327 124373321	158721465254320827271033	24	77.071
3109333	18655999 313088265782270292161	5840974373345768788285323839	28	92.238
3109333	68405327 313088265782270292161	21416905200699110137658741647	29	94.113
3109333	124373321 313088265782270292161	38939827381471619155703836681	29	94.975
3109333	18655999 68405327 30807837262607	39316028810050407983498076511	29	94.989
3109333	18655999 124373321 30807837262607	71483688275295393563611924153	29	95.852
3109333	68405327 124373321 30807837262607	262106846791621687925292500969	30	97.726
3109333	30807837262607 313088265782270292161	9645572341052030863123120370523727	34	112.893
3109333	18655999 68405327 313088265782270292161	399553762007337398029051346507690353	36	118.266
3109333	18655999 124373321 313088265782270292161	726461380688907145497191621416899319	36	119.128
3109333	68405327 124373321 313088265782270292161	2663691625353119849565384863318399687	37	121.003
3109333	18655999 68405327 124373321 30807837262607	4889865071637647418312568972785163031	37	121.879
3109333	18655999 30807837262607 313088265782270292161	179947787949094346730394070509370280388273	42	137.047
3109333	68405327 30807837262607 313088265782270292161	659808530091819695206029290206036706693729	42	138.921
3109333	124373321 30807837262607 313088265782270292161	1199651865002385712241118912364786436287367	43	139.784
3109333	18655999 68405327 124373321 313088265782270292161	49693828298896178560371970444683201242272313	44	145.156
3109333	18655999 68405327 30807837262607 313088265782270292161	12309387277584458141943987232054530594041501530271	50	163.074
3109333	18655999 124373321 30807837262607 313088265782270292161	22380703993832642845184602187958543390590682464633	50	163.937
3109333	68405327 124373321 30807837262607 313088265782270292161	82062578111648050425981642046197559459402005604009	50	165.811
3109333	18655999 68405327 124373321 30807837262607 313088265782270292161	15309593751883279170990630880322196230770443571463 86299991	58	189.964

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-12-07T21:55:35	Jocelyn Larouche	Manual testing	51820	500000			313088265782270292161	21	68.085	0.009	0.529	0.019	1.150%
2020-07-02T19:41:00	Jocelyn Larouche	Manual testing	325000	6218666	6	-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	0.080	-	-	3.166%
2020-07-06T21:38:39	Jocelyn Larouche	Manual testing	325000	15546665	12	-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	0.142	-	-	3.813%
2021-08-11T18:42:30	Jocelyn Larouche	Manual testing	3109333	3109333		-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 313088265782270292161	-	-	0.384	-	-	3.087%
2021-08-12T06:41:29	Jocelyn Larouche	Manual testing	3109333	31093330	12	-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	0.572	-	-	5.564%
2021-08-23T12:34:45	Jocelyn Larouche	Manual testing	3109333	155466650	12	-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	1.408	-	-	7.344%
2021-12-21T03:25:10	Jocelyn Larouche	Manual testing	3950000	116747400		-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	1.246	-	-	7.159%
2022-03-20T16:32:20	Jocelyn Larouche	Manual testing	3950000	1042528410		-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	7.471	-	-	9.697%
2022-07-20T16:40:43	Jocelyn Larouche	Manual testing	3950000	3145275210		-	skipped known factor: 18655999 skipped known factor: 68405327 skipped known factor: 124373321 skipped known factor: 30807837262607 skipped known factor: 313088265782270292161	-	-	21.61	-	-	10.983%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30T14:46:00	markr	Manual testing	?	?	30807837262607	44.808	14	2.36724e-7	0.587	5.24973e-7
2008-09-07T19:44:00	Will Edgington	Manual testing	?	?	124373321	26.890	9	1.24470e-14	0.587	2.76033e-14
2008-09-07T19:44:00	Will Edgington	Manual testing	?	?	68405327	26.028	8	6.84584e-15	0.587	1.51818e-14
2021-01-02T03:21:01	Jocelyn Larouche	Manual testing	2⁶⁴	2⁶⁵		-	-	1.202	-	-
2021-01-20T09:17:48	Jocelyn Larouche	Manual testing	2⁶⁵	2⁶⁶		-	-	2.403	-	-
2021-01-27T11:41:00	Jocelyn Larouche	Manual testing	2⁶⁶	2⁶⁷		-	-	4.807	-	-
2021-01-27T19:43:21	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	9.61	-	-
2021-01-27T23:50:17	Jocelyn Larouche	Manual testing	2⁶⁸	2⁶⁹	skipped known factors(?)	-	-	19.23	-	-
2021-08-21T11:50:32	Jocelyn Larouche	Manual testing	2⁶⁹	2⁷⁰		-	-	38.45	-	-

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.351

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-07-18T18:04:25	IanGlencross	glenx19	50000	5000000						3	0.351

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 3950000, B2 = 3145275210 (P-1 stage 2)

B1 = 3950000, B2 = 1042528410 (P-1 stage 2)

B1 = 3109333, B2 = 155466650 (P-1 stage 2)

B1 = 3950000, B2 = 116747400 (P-1 stage 2)

B1 = 3109333, B2 = 31093330 (P-1 stage 2)

B1 = 3950000 (P-1 stage 1)

B1 = 3109333 (P-1 stage 1)

B1 = 325000, B2 = 15546665 (P-1 stage 2)

B1 = 325000, B2 = 6218666 (P-1 stage 2)

B1 = 325000 (P-1 stage 1)

B1 = 51820, B2 = 500000 (P-1 stage 2)

B1 = 51820 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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

Total ECM effort:	0.351 GHz-days
Estimated T-Level:	0.577