M1750447 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	2⁶⁷	16.9750	68.6567%	3642200	123456789	0.8000	8.6357%	17.7750	71.3634%	2.7067%
PrimeNet	2⁵⁷	0.0110	63.1579%	8000	140000	0.0012	2.8026%	0.0122	64.1904%	1.0325%
GPU72	2⁶¹	0.1755	65.5738%	8000	110000	0.0011	1.4127%	0.1766	66.0601%	0.4864%
Difference	+6	+16.7996	+3.0829%	+3634200	+123346789	+0.7989	+7.2230%	+17.5985	+5.3033%	+5.3033%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1750447	35314581922724975325439	23	74.903	10087303963708977 3 × 3362434654569659	2017-01-26	3	3362434654569659	4,228.1	14,410,554	26,914,902
1750447	2240685551435691830918883047	28	90.856	640032389279907312509 29 × 439 × 935819 × 53721431381	2020-07-27	935819	53721431381	225,999,126	230.31	430.02

exponent	prime factors	composite factor	digits	bits*
1750447	35314581922724975325439 2240685551435691830918883047	79128873469241925614589623758819007333409204932633	50	165.759

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-11T06:19:00	Carsten Kossendey	leela	95000	1543750		-		-	-	0.014	-	-	2.402%
2014-04-08T23:00:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.887%
2014-05-06T10:53:00	Jocelyn Larouche	Manual testing	136667	136667		-		-	-	0.011	-	-	1.059%
2014-09-15T22:12:00	ANONYMOUS	Manual testing	173334	173334		-		-	-	0.014	-	-	1.202%
2015-04-22T05:08:00	Squeeky_Squirrel	P4_2600	130000	3640000		-		-	-	0.025	-	-	3.107%
2015-06-25T09:45:00	mikr	MSI	3642200	123456789		-		-	-	0.800	-	-	8.636%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-19T03:15:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.088	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.175	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.912	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.561	-	-
2015-05-13T11:38:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.122	-	-
2015-05-13T11:38:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.135	-	-
2015-09-05T13:49:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.269	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.252 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.252 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		110	7.561
50000	5000000	35314581922724975325439	1	0.069
50000	5000000	2240685551435691830918883047	140	9.62

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-25T18:10:00	Scott Kurowski	UW1	50000	5000000						3	0.206
2009-06-24T22:09:00	Lupo	yorick	50000	5000000						3	0.206
2010-08-24T09:10:00	Martti Järvi	Tiny	50000	5000000						3	0.206
2012-01-03T21:50:00	S36049	Wolle5	50000	5000000						3	0.206
2013-05-19T21:40:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-15T00:18:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-12-24T01:38:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-08-12T14:02:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-12-26T21:04:19	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-14T14:50:44	Bruce	DESK3	50000	5000000						3	0.206
2016-05-01T09:20:40	Dennis Schreiber	z800	50000	5000000						3	0.206
2016-07-29T12:37:23	Bruce	DESK3	50000	5000000						3	0.206
2016-10-04T02:23:40	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-12-02T02:28:59	Bruce	DESK3	50000	5000000						3	0.206
2017-01-27T00:04:54	Bruce	DESK3	50000	5000000	35314581922724975325439	74.903	1	2		1	0.069
2020-07-27T11:04:08	TJAOI	Manual testing	50000	5000000	2240685551435691830918883047	90.856	140	2		140	9.62
2020-07-27T11:04:08	TJAOI	Manual testing	50000	5000000						68	4.674

date	userid	compid	res64	spent (GHz-days)
1998-12-27T00:00:00	ANONYMOUS	v4_computers	0C70FA223870E4F4	0.095
1999-01-02T00:00:00	ANONYMOUS	v4_computers	0C70FA223870E4F4	0.095
2015-07-18T19:04:00	MadPoo	Manual testing	0C70FA223870E4F4	0.095

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-03T06:23:30

Oliver Kruse

GTX-0

35314581922724975325439

7BA56D5D3DFF8C__

2017-11-03T20:13:35

kkmrkkblmbrbk

c4.xlarge

35314581922724975325439

7BA56D5D3DFF8C__

2020-07-27T14:49:57

mrh.org

35314581922724975325439

2240685551435691830918883047

1BE6DBB4530AB4C5

2020-07-28T12:03:38

pew

laptop

35314581922724975325439

2240685551435691830918883047

1BE6DBB4530AB4C5

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 = 3642200, B2 = 123456789 (P-1 stage 2)

B1 = 3642200 (P-1 stage 1)

B1 = 130000, B2 = 3640000 (P-1 stage 2)

B1 = 95000, B2 = 1543750 (P-1 stage 2)

B1 = 173334 (P-1 stage 1)

B1 = 136667 (P-1 stage 1)

B1 = 130000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

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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