M929 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	31,984.8413	85.0746%	-	-	-	-	31,984.8413	85.0746%
Target	2⁴⁴	0.0025	77.2727%	500	50000	0.0000	0.5910%	0.0025	77.4071%
Difference	+23	+31,984.8388	+7.8019%	-500	-50000	0.0000	-0.5910%	+31,984.8387	+7.6676%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
929	13007	5	13.667	7 7	-	1	7	1.176e-12	2.539e-11	3.894e-11
929	340388595097	12	38.308	183201612 2² × 3 × 11 × 41 × 33851	-	41	33851	4.054e-5	3.603e-8	6.591e-8
929	91238872988674526302835772493936673134135083102897 7	51	169.286	491059596279195512932377677577700070689639844472 2³ × 3² × 47 × 107 × 82889 × 171888491 × 95186722045456416581573745881	-	171888491	95186722045456416581573745881	1.788e+14	9.922e+16	1.853e+17
929	12135451813842978184796682465379579209792093219255 02086596377	61	199.595	65314595338229161382113468597306669589839037778552 3189772 2² × 67 × 239 × 1043683 × 9770323327394186126954357557048566436603732517	2013-03-02	1043683	9770323327394186126954357557048566436603732517	1.722e+14	1.018e+34	1.902e+34
929	hide decimal representation P153 click to show decimal representation	153	508.144		2013-03-02

exponent	prime factors	composite factor	digits	bits*
929	13007 340388595097	4427434456426679	16	51.975
929	13007 91238872988674526302835772493936673134135083102897 7	11867440209636895636209848928286343074556950259193 903839	56	182.953
929	340388595097 91238872988674526302835772493936673134135083102897 7	31056671794848543600414242166325820119014344771614 6915927125769	63	207.594
929	13007 12135451813842978184796682465379579209792093219255 02086596377	15784582174265561724965044882719218678176575650285 005640359075639	65	213.262
929	13007 340388595097 91238872988674526302835772493936673134135083102897 7	40395413003559500661058804785739994228801958244439 22935464124877383	67	221.261
929	340388595097 12135451813842978184796682465379579209792093219255 02086596377	41307693937813517208813619889769693080541600363610 7654152882801520163569	72	237.903
929	13007 340388595097 12135451813842978184796682465379579209792093219255 02086596377	53728917504914041833503875390623439789860459592948 52257566546599372767541983	76	251.570
929	91238872988674526302835772493936673134135083102897 7 12135451813842978184796682465379579209792093219255 02086596377	11072249467033993882235524773736955830490166491575 08275551497899002102970296376521424096784806929524 502590216329	112	368.881
929	13007 91238872988674526302835772493936673134135083102897 7 12135451813842978184796682465379579209792093219255 02086596377	14401674881771115842623747073199658448718559555591 71014009833317232035333464496941416322687998373232 5205190943791303	116	382.548
929	340388595097 91238872988674526302835772493936673134135083102897 7 12135451813842978184796682465379579209792093219255 02086596377	37688674406472081931150431433968611977700906489408 67905841255227152730283077143258372842263025854752 35726921473725618738913	123	407.189
929	13007 340388595097 91238872988674526302835772493936673134135083102897 7 12135451813842978184796682465379579209792093219255 02086596377	49021658800498236967847366166162973599395569070773 86885127720673957556279198440236165555931517729276 391100067608749122937041391	127	420.856

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-01	ANONYMOUS	v4_computers	?	?	13007 340388595097	51.975	16	0.203	4.39837e-8	0.730
2010-10-02	ANONYMOUS	v4_computers	?	?	13007 340388595097	51.975	16	0.203	4.39837e-8	0.730
2011-02-05	ANONYMOUS	v4_computers	?	?	13007 340388595097	51.975	16	0.203	4.39837e-8	0.730
2011-04-14	Thomas N	v4_computers	?	?	13007 340388595097	51.975	16	0.203	4.39837e-8	0.730

ECM factoring results:

Total ECM effort:	32.211 GHz-days
Estimated T-Level:	43.086

Digits	B1	Complete	FacMiss
20	11000	225.167	0.000%
25	50000	90.033	0.000%
30	250000	32.148	0.000%
35	1000000	10.001	0.005%
40	3000000	2.632	7.196%
45	11000000	0.617	53.940%
50	44000000	0.130	87.785%
55	110000000	0.025	97.531%
60	260000000	0.004	99.560%

ECM Summary

B1	B2	factor	curves	GHz-days
		12135451813842978184796682465379579209792093219255 02086596377	1	0.00000e+0
500000	50000000		0	0.00000e+0
1000000	100000000		1	0.000
250000000	25000000000		0	0.00000e+0
260000000	26000000000		450	32.21

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-07-07	Rob_Dee	twopc	1000000	100000000						1	0.000
2009-07-08	Rob_Dee	twopc	260000000	26000000000						1	0.072
2009-07-14	Rob_Dee	twopc	260000000	26000000000						1	0.072
2009-07-15	Rob_Dee	twopc	260000000	26000000000						1	0.072
2009-07-19	Rob_Dee	twopc	260000000	26000000000						1	0.072
2009-07-23	Rob_Dee	twopc	260000000	26000000000						1	0.072
2009-10-12	Carsten Kossendey	durandal	260000000	26000000000						1	0.072
2010-10-12	Mr. P-1	cuica2	250000000	25000000000						0	-
2011-03-11	Thomas N	Manual testing	260000000	26000000000						1	0.072
2011-03-15	Thomas N	Manual testing	260000000	26000000000						10	0.716
2011-03-16	Thomas N	Manual testing	260000000	26000000000						20	1.432
2011-03-17	Thomas N	Manual testing	260000000	26000000000						100	7.158
2011-03-29	Thomas N	Manual testing	260000000	26000000000						150	10.74
2011-05-03	Thomas N	Manual testing	260000000	26000000000						50	3.579
2011-05-24	Thomas N	Manual testing	260000000	26000000000						50	3.579
2011-05-26	Thomas N	Manual testing	260000000	26000000000						50	3.579
2011-05-27	Thomas N	Manual testing	260000000	26000000000						13	0.931
2012-09-19	Never Odd Or Even	Note	500000	50000000						0	-
2013-03-02	ANONYMOUS	Manual testing			12135451813842978184796682465379579209792093219255 02086596377	199.595		1		1	-

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

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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