M27 378 851 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	17.4616	64.7887%	285000	34496700	2.8844	5.1117%	20.3460	66.5886%
Target	2⁷⁰	8.7276	64.2857%	200000	48000000	3.7641	3.9084%	12.4916	65.6816%
Difference	+1	+8.7340	+0.5030%	+85000	-13503300	-0.8796	+1.2033%	+7.8544	+0.9071%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
27378851	1149911743	10	30.099	21 3 × 7	-	3	7	5.248e-12	4.319e-6	8.195e-6
27378851	243178954583	12	37.823	4441 4441	2008-09-08	1	4441	1.312e-9	0.0003	0.0006
27378851	558747591209	12	39.023	10204 2² × 2551	2008-09-08	4	2551	3.233e-9	0.0002	0.0003
27378851	8976375331159	13	43.029	163929 3 × 53 × 1031	2008-10-01	53	1031	6.345e-8	0.0001	0.0001
27378851	573294418737489311449	21	68.958	10469658108324 2² × 3 × 1583 × 551150669	2022-07-15	1583	551150669	3.7197	40.308	75.280

exponent	prime factors	composite factor	digits	bits*
27378851	1149911743 243178954583	279634335525455368169	21	67.922
27378851	1149911743 558747591209	642510416504192667287	21	69.122
27378851	1149911743 8976375331159	10322039402875247900137	23	73.128
27378851	243178954583 558747591209	135875655105974061060847	24	76.847
27378851	243178954583 8976375331159	2182865568975876045751697	25	80.852
27378851	558747591209 8976375331159	5015528094072980932181231	25	82.053
27378851	1149911743 573294418737489311449	659237984302598193572189445607	30	99.057
27378851	243178954583 573294418737489311449	139413137416851297468304312920767	33	106.781
27378851	1149911743 243178954583 558747591209	156245011394177482267267002826321	33	106.946
27378851	558747591209 573294418737489311449	320326875523135947676512735451841	33	107.981
27378851	1149911743 243178954583 8976375331159	2510102751155736348722281642477871	34	110.951
27378851	8976375331159 573294418737489311449	5146105877846337032746240265139391	34	111.987
27378851	1149911743 558747591209 8976375331159	5767414652720929472930284131095633	34	112.152
27378851	243178954583 558747591209 8976375331159	1219670878598333981594324576474031673	37	119.876
27378851	1149911743 243178954583 573294418737489311449	160312803844109993043589299725136601866881	42	136.880
27378851	1149911743 558747591209 573294418737489311449	368347635762553294418655559785124376868863	42	138.080
27378851	1149911743 8976375331159 573294418737489311449	5917567579656826503490677219983219242768513	43	142.086
27378851	243178954583 558747591209 573294418737489311449	77896754714554970985761354870264336522737303	44	145.804
27378851	243178954583 8976375331159 573294418737489311449	1251424647548103739139108945200337842153278953	46	149.810
27378851	1149911743 243178954583 558747591209 8976375331159	1402513865895351625671259692640990555336636039	46	149.975
27378851	558747591209 8976375331159 573294418737489311449	2875374263353117213690934302297800215871213719	46	151.011
27378851	1149911743 243178954583 558747591209 573294418737489311449	89574392987857374155551267760907202081599411223849 129	53	175.903
27378851	1149911743 243178954583 8976375331159 573294418737489311449	14390278976952006470182700866422119722593358740094 45079	55	179.909
27378851	1149911743 558747591209 8976375331159 573294418737489311449	33064266309497240396786457268537523512982436311408 02217	55	181.109
27378851	243178954583 558747591209 8976375331159 573294418737489311449	69923050739707477219962321849731355123615347674978 7524177	57	188.834
27378851	1149911743 243178954583 558747591209 8976375331159 573294418737489311449	80405337151974464440139667912551566651948504906485 8146806028710511	66	218.933

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-05-14	masser	Manual testing	285000	34496700		-	skipped known factor: 1149911743 skipped known factor: 243178954583 skipped known factor: 558747591209 skipped known factor: 8976375331159	-	-	2.884	-	-	5.112%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	243178954583	37.823	12	6.42831e-10	60.11	1.52459e-9
2008-09-08	Will Edgington	Manual testing	?	?	558747591209	39.023	12	5.58153e-10	60.11	1.32376e-9
2008-10-01	markr	Manual testing	?	?	8976375331159	43.029	13	2.06493e-8	60.11	4.89738e-8
2022-07-15	masser	Manual testing	2⁶⁷	2⁶⁹	MISSED FACTOR!	-	-	3.275	-	-
2022-07-15	masser	Manual testing	2⁶⁷	2⁶⁹	573294418737489311449	68.958	21	2.634	55.75	5.795
2022-10-10	masser	Manual testing	2⁶⁹	2⁷¹		-	-	13.10	-	-

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 = 285000, B2 = 34496700 (P-1 stage 2)

B1 = 285000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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