M1 093 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0021	75.0000%	500	50000	0.0000	0.6238%	0.0021	75.1559%
Difference	-44	-0.0021	-75.0000%	-500	-50000	0.0000	-0.6238%	-0.0021	-75.1559%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1093	43721	5	15.416	20 2² × 5	-	4	5	4.011e-12	7.757e-11	1.557e-10
1093	111487	6	16.767	51 3 × 17	-	3	17	8.076e-12	7.199e-11	1.168e-10
1093	42565880168703357316051447	26	85.138	19472040333350117710911 3² × 7 × 587 × 214088437 × 2459459063	2014-04-23	214088437	2459459063	1.079e+10	0.0064	0.0083
1093	46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	122	404.159	21096218180894992018088095295378309834396276244012 49396762227961164098647948784033391893482184738275 1538844173824486868 2² × 3 × 19 × 31 × 127 × 3967 × 199610267 × 165330888363313 × 110830581048682856100398099594923493 × 1619741319307725495078548813736968338061624659355413	2014-09-21	110830581048682856100398099594923493	1619741319307725495078548813736968338061624659355413	1.234e+14	1.688e+39	3.153e+39
1093	hide decimal representation P173 click to show decimal representation	173	571.521		2014-09-21

exponent	prime factors	composite factor	digits	bits*
1093	43721 111487	4874323127	10	32.183
1093	43721 42565880168703357316051447	1861022846855879485215085314287	31	100.554
1093	111487 42565880168703357316051447	4745542282368231197094627671689	31	101.904
1093	43721 111487 42565880168703357316051447	207479854127421436168174216433914769	36	117.320
1093	43721 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	20162521926199851420059055370985878942134321517505 31963785892319564614475735137677785043672070332874 918145156186583933317883729	127	419.575
1093	111487 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	51413716108648997856136042317081097999170401020610 58920120714920319758789970112629702457946252491965 554293109210074860451748663	127	420.925
1093	43721 111487 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	22478590819862428352681239061451026856217291030221 15570465977770313001740562832942832211638681052012 25999249027773682973810903295023	132	436.341
1093	42565880168703357316051447 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	19629823018903430215971244053077707201900320811107 40779523820712954202917265270429038046222475766436 995399925962209653645910471955547844972597070703	148	489.296
1093	43721 42565880168703357316051447 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	85823549220947687247247876124461043657428392618242 69762156096539107070574575488842797241889286298439 18758801629937682670528517443685073300469165282058 63	152	504.713
1093	111487 42565880168703357316051447 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	21884700789084867244879860857454743428182610662679 31572867721998251252206371532043221646592051557727 61306151545748867656021620786908162592459929621465 361	153	506.063
1093	43721 111487 42565880168703357316051447 46116332943436452551540576315696985297990259869411 31181322230323104719644416041896994679152055837869 4863913363980328293449	95682100319957948081339239654877883742357192078300 23629734967348554299771476975246169361065108615540 89706625173168624278892128242441177670494058298008 7048281	157	521.479

ECM factoring results:

Total ECM effort:	154,136.955 GHz-days
Estimated T-Level:	61.155

Digits	B1	Complete	FacMiss
20	11000	17,103.200	0.000%
25	50000	5,730.870	0.000%
30	250000	2,841.726	0.000%
35	1000000	1,062.524	0.000%
40	3000000	346.212	0.000%
45	11000000	96.815	0.000%
50	44000000	24.460	0.000%
55	110000000	5.621	0.362%
60	260000000	1.181	30.703%
65	800000000	0.231	79.373%
70	2400000000	0.042	95.868%
75	7200000000	0.007	99.285%

ECM Summary

B1	B2	curves	GHz-days
3000000	300000000	11	0.009
50000000	10000000000000	1	8.964
260000000	26000000000	1	0.072
1000000000	1000000000	776	144.8
1000000000	10000000000000	16,819	153,739
5000000000	5000000000	261	243.6

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-12	Carsten Kossendey	durandal	260000000	26000000000						1	0.072
2011-01-12	James Hintz	NEW_OMFG	3000000	300000000						11	0.009
2013-06-20	ANONYMOUS	dad	1000000000	1000000000						189	35.28
2013-06-20	ANONYMOUS	dad	1000000000	10000000000000						1	9.141
2013-06-20	ANONYMOUS	dad	1000000000	1000000000						190	35.46
2013-06-20	ANONYMOUS	dad	1000000000	1000000000						149	27.81
2013-06-25	Never Odd Or Even	Manual testing	1000000000	10000000000000						1000	9,141
2013-07-25	Never Odd Or Even	Notebook	1000000000	1000000000						136	25.38
2013-07-25	Never Odd Or Even	Notebook	1000000000	1000000000						112	20.90
2013-07-28	Never Odd Or Even	Manual testing	1000000000	10000000000000						518	4,735
2013-08-03	Never Odd Or Even	Manual testing	1000000000	10000000000000						1600	14,625
2013-08-13	Never Odd Or Even	Manual testing	1000000000	10000000000000						1200	10,969
2014-02-09	Never Odd Or Even	Dad	50000000	10000000000000						1	8.964
2014-03-27	Never Odd Or Even	Dad	5000000000	5000000000						58	54.13
2014-03-27	Never Odd Or Even	Dad	5000000000	5000000000						68	63.46
2014-03-28	Never Odd Or Even	Dad	5000000000	5000000000						67	62.53
2014-03-28	Never Odd Or Even	Dad	5000000000	5000000000						68	63.46
2014-04-04	Never Odd Or Even	Manual testing	1000000000	10000000000000						12500	114,260

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