M4 125 777 839 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	2⁷⁷	7.4188	58.4416%	-	-	-	-	7.4188	58.4416%
Target	2⁹²	243,099.4091	65.2174%	20000000	9600000000	197,146.2306	4.2486%	440,245.6397	66.6952%
Difference	-15	-243,091.9904	-6.7758%	-20000000	-9600000000	-197,146.2306	-4.2486%	-440,238.2209	-8.2536%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4125777839	8251555679	10	32.942	1 1	2012-08-20	1	1	1.390e-13	0.0004	0.0007
4125777839	33006222713	11	34.942	4 2²	2012-08-20	4	4	5.600e-13	0.0015	0.0030
4125777839	173282669239	12	37.334	21 3 × 7	2012-08-20	3	7	4.660e-12	0.0012	0.0022
4125777839	127115215219591	15	46.853	15405 3 × 5 × 13 × 79	2012-12-14	13	79	3.814e-9	0.0060	0.0096
4125777839	147966896417897	15	47.072	17932 2² × 4483	2012-08-25	4	4483	7.704e-9	0.0902	0.1659

exponent	prime factors	composite factor	digits	bits*
4125777839	8251555679 33006222713	272352684469793937127	21	67.884
4125777839	8251555679 173282669239	1429851593431349058281	22	70.276
4125777839	33006222713 173282669239	5719406373205548225407	22	72.276
4125777839	8251555679 127115215219591	1048898276032523348107289	25	79.795
4125777839	8251555679 147966896417897	1220957084441102747587063	25	80.014
4125777839	33006222713 127115215219591	4195593103748747746770383	25	81.795
4125777839	33006222713 147966896417897	4883828337320510301094561	25	82.014
4125777839	173282669239 127115215219591	22026863794140686005861249	26	84.187
4125777839	173282669239 147966896417897	25640098770303819770970383	26	84.407
4125777839	127115215219591 147966896417897	18808843883535905754157420127	29	93.925
4125777839	8251555679 33006222713 173282669239	47194000139333034893665502936353	32	105.218
4125777839	8251555679 33006222713 127115215219591	34620170102011215659001607752655057	35	114.737
4125777839	8251555679 33006222713 147966896417897	40299181452078184418174824735561919	35	114.956
4125777839	8251555679 173282669239 127115215219591	181755893031101064536620216471983071	36	117.129
4125777839	8251555679 173282669239 147966896417897	211570702618221400586543143184455057	36	117.349
4125777839	33006222713 173282669239 127115215219591	727023572058323666764058807870348537	36	119.129
4125777839	33006222713 173282669239 147966896417897	846282810395965306035261113424909079	36	119.349
4125777839	8251555679 127115215219591 147966896417897	155202222562615117726126437908935751233	39	126.867
4125777839	33006222713 127115215219591 147966896417897	620808890194033939253898034373270744551	39	128.867
4125777839	173282669239 127115215219591 147966896417897	3259246673438740594577937081004502373353	40	131.260
4125777839	8251555679 33006222713 173282669239 127115215219591	5999075484784726371707073009172544366191691623	46	152.072
4125777839	8251555679 33006222713 173282669239 147966896417897	6983149730162907759702231814729171650881109641	46	152.291
4125777839	8251555679 33006222713 127115215219591 147966896417897	5122639123454268163369243348419699418004362355129	49	161.809
4125777839	8251555679 173282669239 127115215219591 147966896417897	26893855397475298411797413328867384583409925421687	50	164.202
4125777839	33006222713 173282669239 127115215219591 147966896417897	10757542158012345362687343153173572709062619456668 9	51	166.202
4125777839	8251555679 33006222713 173282669239 127115215219591 147966896417897	88766458086028683729592061096991160760185072344292 1562176831	60	199.144

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-11-11	slaur	nocebo-1650	2⁶⁴	2⁶⁸	33006222713	34.942	11	5.28309e-15	2,118,670	1.08139e-14
2020-11-11	slaur	nocebo-1650	2⁶⁴	2⁶⁸	8251555679	32.942	10	3.30193e-16	2,118,670	6.75867e-16
Missing TF 68 - 69
Missing TF 69 - 70
Missing TF 70 - 71
Missing TF 71 - 72
Missing TF 72 - 73
Missing TF 73 - 74
Missing TF 74 - 75
2012-12-24			2⁷⁵	2⁷⁶		-	-	1.855	-	-
2012-12-24			2⁷⁶	2⁷⁷		-	-	3.709	-	-

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