M3186367 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	74.9916	68.5714%	4000000	3193494150	21.9391	11.0358%	96.9307	72.0398%	3.4684%
PrimeNet	2⁶⁰	0.0482	63.3333%	13000	240000	0.0031	2.6554%	0.0513	64.3070%	0.9736%
GPU72	2⁶⁴	1.1170	65.6250%	15000	260000	0.0035	1.5835%	1.1205	66.1693%	0.5443%
Difference	+6	+73.8745	+2.9464%	+3985000	+3193234150	+21.9356	+9.4523%	+95.8101	+5.8705%	+2.9241%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3186367	50981873	8	25.603	8 2³	-	8	8	1.405e-12	9.873e-7	2.009e-6
3186367	3900113209	10	31.861	612 2² × 3² × 17	2008-09-07	9	17	1.017e-10	1.164e-6	2.260e-6
3186367	6863434519	10	32.676	1077 3 × 359	2008-09-07	3	359	2.214e-10	2.764e-6	4.514e-6
3186367	51296003846199071	17	55.510	8049293105 5 × 7 × 83 × 2770841	2015-07-21	83	2770841	0.0019	0.0186	0.0348
3186367	19976222522829345959	20	64.115	3134639312237 3134639312237	2017-07-20	1	3134639312237	1.8523	21,077	39,365

exponent	prime factors	composite factor	digits	bits*
3186367	50981873 3900113209	198835076306860457	18	57.464
3186367	50981873 6863434519	349910746991474087	18	58.280
3186367	3900113209 6863434519	26768171626658461471	20	64.537
3186367	50981873 51296003846199071	2615166353494432570439983	25	81.113
3186367	3900113209 51296003846199071	200060222169475801250628839	27	87.371
3186367	6863434519 51296003846199071	352066763484759470847131849	27	88.186
3186367	50981873 19976222522829345959	1018425239678625316354801207	28	89.718
3186367	50981873 3900113209 6863434519	1364691526312505097089915183	28	90.141
3186367	3900113209 19976222522829345959	77909529327210036227526672431	29	95.976
3186367	6863434519 19976222522829345959	137105495222412198601193758721	30	96.791
3186367	50981873 3900113209 51296003846199071	10199444838995999775932800640035447	35	112.974
3186367	50981873 6863434519 51296003846199071	17949023023501044778275678339973177	35	113.789
3186367	51296003846199071 19976222522829345959	1024700387363582639708370719043404089	37	119.625
3186367	3900113209 6863434519 51296003846199071	1373100234716789282438749344049493441	37	120.047
3186367	50981873 3900113209 19976222522829345959	3971973729649597511277163917989843263	37	121.579
3186367	50981873 6863434519 19976222522829345959	6989894945031125462736837855506664433	37	122.395
3186367	3900113209 6863434519 19976222522829345959	534726952943416208607247101556131045689	39	128.652
3186367	50981873 51296003846199071 19976222522829345959	52241145011620974962616913035189508753078697	44	145.228
3186367	50981873 3900113209 6863434519 51296003846199071	70003221782601542165053449337164580323394993	44	145.650
3186367	3900113209 51296003846199071 19976222522829345959	3996447516024125338689704549210008131833511601	46	151.485
3186367	6863434519 51296003846199071 19976222522829345959	7032964010263884492883571686331350283708348191	46	152.301
3186367	50981873 3900113209 6863434519 19976222522829345959	27261381604638221333356178611152775342673795497	47	154.256
3186367	50981873 3900113209 51296003846199071 19976222522829345959	20374637971310742295316050373534688490610334558620 8673	54	177.089
3186367	50981873 6863434519 51296003846199071 19976222522829345959	35855367798484405570285965549894073608253297651334 1743	54	177.904
3186367	3900113209 6863434519 51296003846199071 19976222522829345959	27429355834851787486345484432959303992296826283290 354919	56	184.162
3186367	50981873 3900113209 6863434519 51296003846199071 19976222522829345959	13983999356442228034518547214846082503036697758777 70896605383287	64	209.765

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-06-29T00:05:09	Jocelyn Larouche	Manual testing	414219	31863670	12	-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	0.263	-	-	4.519%
2021-08-05T11:40:16	Jocelyn Larouche	Manual testing	3186367	3186367		-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	0.393	-	-	3.122%
2021-08-11T03:45:02	Jocelyn Larouche	Manual testing	3186367	31863670	12	-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	0.586	-	-	5.615%
2021-08-20T03:24:27	Jocelyn Larouche	Manual testing	3186367	159318350	12	-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	1.443	-	-	7.405%
2021-12-21T04:26:19	Jocelyn Larouche	Manual testing	4000000	116758950		-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	1.252	-	-	7.184%
2022-01-10T18:46:32	Jocelyn Larouche	Manual testing	4000000	1038178680		-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	7.447	-	-	9.724%
2022-07-20T04:25:10	Jocelyn Larouche	Manual testing	4000000	3193494150		-	skipped known factor: 50981873 skipped known factor: 3900113209 skipped known factor: 6863434519 skipped known factor: 51296003846199071	-	-	21.94	-	-	11.036%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-07T19:44:00	Will Edgington	Manual testing	?	?	3900113209	31.861	10	1.18934e-11	0.599	2.62607e-11
2008-09-07T19:44:00	Will Edgington	Manual testing	?	?	6863434519	32.676	10	4.18602e-11	0.599	9.24275e-11
2015-01-29T12:05:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	51296003846199071	55.510	17	0.000	0.596	0.001
2022-04-02T07:39:11	LordJulius	Manual testing	2¹	2⁶²	50981873 6863434519	58.280	18	0.016	0.575	0.034
2022-04-02T07:39:11	LordJulius	Manual testing	2¹	2⁶²	3900113209	31.861	10	1.01677e-10	0.599	2.24504e-10
2022-04-02T07:39:11	LordJulius	Manual testing	2¹	2⁶²	50981873	25.603	8	1.40530e-12	0.599	3.10291e-12
2022-04-02T07:39:11	LordJulius	Manual testing	2¹	2⁶²	51296003846199071	55.510	17	0.002	0.596	0.004
2022-04-02T07:39:11	LordJulius	Manual testing	2¹	2⁶²	6863434519	32.676	10	2.21428e-10	0.599	4.88913e-10
2022-04-02T07:39:12	LordJulius	Manual testing	2¹	2⁶²	50981873 3900113209	57.464	18	0.012	0.587	0.025
2022-04-02T07:39:12	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.308	-	-
2022-04-02T07:39:12	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.616	-	-
2021-01-02T01:34:48	Jocelyn Larouche	Manual testing	2⁶⁴	2⁶⁵	skipped known factors(?)	-	-	1.173	-	-
2017-07-20T12:12:39	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	19976222522829345959	64.115	20	0.735	0.551	1.493
2021-01-15T11:53:36	Jocelyn Larouche	Manual testing	2⁶⁵	2⁶⁶		-	-	2.345	-	-
2021-01-20T18:54:46	Jocelyn Larouche	Manual testing	2⁶⁶	2⁶⁷		-	-	4.690	-	-
2021-01-24T20:31:09	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	9.381	-	-
2021-01-25T00:31:33	Jocelyn Larouche	Manual testing	2⁶⁸	2⁶⁹		-	-	18.76	-	-
2021-08-19T19:57:21	Jocelyn Larouche	Manual testing	2⁶⁹	2⁷⁰		-	-	37.52	-	-

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	0.352

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-08-22T09:34:06	_p95holder_	m_PRPt12_TFL8	50000	5000000						3	0.352

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 = 4000000, B2 = 3193494150 (P-1 stage 2)

B1 = 4000000, B2 = 1038178680 (P-1 stage 2)

B1 = 3186367, B2 = 159318350 (P-1 stage 2)

B1 = 4000000, B2 = 116758950 (P-1 stage 2)

B1 = 3186367, B2 = 31863670 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 3186367 (P-1 stage 1)

B1 = 414219, B2 = 31863670 (P-1 stage 2)

B1 = 414219 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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10⁸

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10¹⁰

10¹¹

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10¹³

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:	0.352 GHz-days
Estimated T-Level:	0.577