M2 854 619 441 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	2⁷⁸	21.4447	58.9744%	-	-	-	-	21.4447	58.9744%
Target	2⁹⁰	87,837.8165	64.4444%	15000000	7200000000	102,122.4932	4.4484%	189,960.3097	66.0261%
Difference	-12	-87,816.3718	-5.4701%	-15000000	-7200000000	-102,122.4932	-4.4484%	-189,938.8650	-7.0517%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2854619441	22836955529	11	34.411	4 2²	2012-08-20	4	4	8.094e-13	0.0010	0.0020
2854619441	91347822113	11	36.411	16 2⁴	2012-08-20	16	16	3.329e-12	0.0040	0.0082
2854619441	1113301581991	13	40.018	195 3 × 5 × 13	2014-10-23	5	13	7.513e-11	0.0014	0.0026
2854619441	20045137714703	14	44.188	3511 3511	2014-10-23	1	3511	1.116e-9	0.0483	0.0899
2854619441	47135476209793	14	45.422	8256 2⁶ × 3 × 43	2014-10-23	64	64	2.721e-9	0.0161	0.0327
2854619441	308749929499679	15	48.133	54079 41 × 1319	2014-10-23	41	1319	2.311e-8	0.0278	0.0337

exponent	prime factors	composite factor	digits	bits*
2854619441	22836955529 91347822113	2086106151265583812777	22	70.821
2854619441	22836955529 1113301581991	25424418718293814278239	23	74.429
2854619441	91347822113 1113301581991	101697674869835352366983	24	76.429
2854619441	22836955529 20045137714703	457769918563353100442887	24	78.599
2854619441	22836955529 47135476209793	1076430774041280215295497	25	79.833
2854619441	91347822113 20045137714703	1831079674193276988627439	25	80.599
2854619441	91347822113 47135476209793	4305723096023714432552609	25	81.833
2854619441	22836955529 308749929499679	7050908409566054542775191	25	82.544
2854619441	1113301581991 20045137714703	22316283529006308320713673	26	84.206
2854619441	91347822113 308749929499679	28203633637337968382601727	26	84.544
2854619441	1113301581991 47135476209793	52476000232261691506637863	26	85.440
2854619441	1113301581991 308749929499679	343731784951602349826680889	27	88.151
2854619441	20045137714703 47135476209793	944837111873407680208686479	27	89.610
2854619441	20045137714703 308749929499679	6188934856225907874232080337	28	92.322
2854619441	47135476209793 308749929499679	14553074956707385471730156447	29	93.555
2854619441	22836955529 91347822113 1113301581991	2322465278405130805556835658899007	34	110.839
2854619441	22836955529 91347822113 20045137714703	41816285089607675540063863192160231	35	115.010
2854619441	22836955529 91347822113 47135476209793	98329606864081763225599401685925161	35	116.243
2854619441	22836955529 1113301581991 20045137714703	509635974524472244680600819843248017	36	118.617
2854619441	22836955529 91347822113 308749929499679	644085127132095697896683696817598583	36	118.955
2854619441	22836955529 1113301581991 47135476209793	1198392083643953920027405885638594527	37	119.851
2854619441	91347822113 1113301581991 20045137714703	2038543898030940128135384354410851049	37	120.617
2854619441	91347822113 1113301581991 47135476209793	4793568334418387679412838468034464519	37	121.851
2854619441	22836955529 1113301581991 308749929499679	7849787486843534280283812319767185281	37	122.562
2854619441	22836955529 20045137714703 47135476209793	21577203106001809070612826560426592391	38	124.021
2854619441	91347822113 1113301581991 308749929499679	31399149946342941766280442229588698457	38	124.562
2854619441	91347822113 20045137714703 47135476209793	86308812421172724946831083201080310127	38	126.021
2854619441	22836955529 20045137714703 308749929499679	141336430083509066901488943681224333273	39	126.732
2854619441	22836955529 47135476209793 308749929499679	332347925596530162283762269468351645463	39	127.966
2854619441	91347822113 20045137714703 308749929499679	565345720315469463037278051102201092081	39	128.732
2854619441	1113301581991 20045137714703 47135476209793	1051888651372472220100420078090831599689	40	129.628
2854619441	91347822113 47135476209793 308749929499679	1329391702342461424264926921458216112511	40	129.966
2854619441	1113301581991 20045137714703 308749929499679	6890150966275545372062798903465104410967	40	132.340
2854619441	1113301581991 47135476209793 308749929499679	16201961372135936082150632980307027745977	41	133.573
2854619441	20045137714703 47135476209793 308749929499679	291718391679594941476279131813506242140241	42	137.744
2854619441	22836955529 91347822113 1113301581991 20045137714703	46554136343246890372289334193002980401055999921	47	155.028
2854619441	22836955529 91347822113 1113301581991 47135476209793	109470506878335319514632500926163554259731375551	48	156.261
2854619441	22836955529 91347822113 1113301581991 308749929499679	717060990973036497299583170939570714623499918753	48	158.973
2854619441	22836955529 91347822113 20045137714703 47135476209793	1971030511023124337638530336537970007127827342183	49	160.431
2854619441	22836955529 91347822113 20045137714703 308749929499679	12910775073354847978139828122228755773869031065849	50	163.143
2854619441	22836955529 1113301581991 20045137714703 47135476209793	24021934352852932905221193237579028464725623230481	50	164.039
2854619441	22836955529 91347822113 47135476209793 308749929499679	30359259187016396674336137619776157193084967523319	50	164.377
2854619441	91347822113 1113301581991 20045137714703 47135476209793	96087737408256065666767356290014853624629998122857	50	166.039
2854619441	22836955529 1113301581991 20045137714703 308749929499679	15735007120493100842201989755370255343659511888654 3	51	166.750
2854619441	22836955529 1113301581991 47135476209793 308749929499679	37000347133804419205086049605047232540104585765683 3	51	167.984
2854619441	91347822113 1113301581991 20045137714703 308749929499679	62940028479905358078925295409862181703598516231327 1	51	168.750
2854619441	91347822113 1113301581991 47135476209793 308749929499679	14800138853035708840870341759554374026632623473894 01	52	169.984
2854619441	22836955529 20045137714703 47135476209793 308749929499679	66619599377783132952271441416157711733205894983424 89	52	172.154
2854619441	91347822113 20045137714703 47135476209793 308749929499679	26647839750238098005869791742034247297841839266949 233	53	174.154
2854619441	1113301581991 20045137714703 47135476209793 308749929499679	32477054695276321993962261844827651615528381498199 9831	54	177.762
2854619441	22836955529 91347822113 1113301581991 20045137714703 47135476209793	21943513860745734890764698487839676389751197262110 38787426353	61	200.449
2854619441	22836955529 91347822113 1113301581991 20045137714703 308749929499679	14373586313895921325772378433882104715839967744452 016593525359	62	203.161
2854619441	22836955529 91347822113 1113301581991 47135476209793 308749929499679	33799011280980154944794813241797485050364188389391 899882948129	62	204.395
2854619441	22836955529 91347822113 20045137714703 47135476209793 308749929499679	60855553132010591132159201497732754553580250101488 5593521659257	63	208.565
2854619441	22836955529 1113301581991 20045137714703 47135476209793 308749929499679	74167705378892601174280078025458257861332665411173 94076032515599	64	212.172
2854619441	91347822113 1113301581991 20045137714703 47135476209793 308749929499679	29667082150582728828853741550364435289188236616003 724859184062903	65	214.172
2854619441	22836955529 91347822113 1113301581991 20045137714703 47135476209793 308749929499679	67750583574804745969999914783093212244239001410960 6514307538231741349640687	75	248.583

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-01-27	ramgeis	r4mg31s	2⁷⁰	2⁷¹	22836955529	34.411	11	0.084	1,007,000	2.744
2022-01-27	ramgeis	r4mg31s	2⁷⁰	2⁷¹	91347822113	36.411	11	0.084	1,007,000	10.97
Missing TF 71 - 72
Missing TF 72 - 73
Missing TF 73 - 74
2022-02-01	ramgeis	r4mg31s	2⁷⁴	2⁷⁵	1113301581991	40.018	13	1.340	1,007,000	10.97
2022-02-01	ramgeis	r4mg31s	2⁷⁴	2⁷⁵	22836955529	34.411	11	1.340	1,007,000	2.744
2022-02-07	ramgeis	r4mg31s	2⁷⁵	2⁷⁶		-	-	2.681	-	-
2022-04-03	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	1113301581991	40.018	13	5.361	1,007,000	10.97
2022-04-03	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	91347822113	36.411	11	5.361	1,007,000	10.97
2022-04-27	ramgeis	r4mg31s	2⁷⁷	2⁷⁸		-	-	10.72	-	-

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

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