M1 429 414 751 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁷	21.4131	59.7403%	-	-	-	-	21.4131	59.7403%
Target	2⁸⁷	21,927.1154	64.3678%	8000000	3200000000	21,321.2467	4.3524%	43,248.3620	65.9187%
Difference	-10	-21,905.7023	-4.6276%	-8000000	-3200000000	-21,321.2467	-4.3524%	-43,226.9490	-6.1784%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1429414751	2858829503	10	31.413	1 1	2012-08-20	1	1	2.006e-13	0.0001	0.0002
1429414751	11435318009	11	33.413	4 2²	2012-08-20	4	4	8.082e-13	0.0005	0.0010
1429414751	45741272033	11	35.413	16 2⁴	2012-08-20	16	16	3.324e-12	0.0019	0.0038
1429414751	80047226057	11	36.220	28 2² × 7	2012-08-20	4	7	6.831e-12	0.0005	0.0010
1429414751	960566712673	12	39.805	336 2⁴ × 3 × 7	2014-08-08	16	16	9.222e-11	0.0019	0.0038
1429414751	93415112807353	14	46.409	32676 2² × 3 × 7 × 389	2014-08-08	7	389	1.180e-8	0.0033	0.0046

exponent	prime factors	composite factor	digits	bits*
1429414751	2858829503 11435318009	32691624500316419527	20	64.826
1429414751	2858829503 45741272033	130766497992689189599	21	66.826
1429414751	2858829503 80047226057	228841371485061959671	21	67.633
1429414751	11435318009 45741272033	523065991833532942297	21	68.826
1429414751	11435318009 80047226057	915365485700106160513	21	69.633
1429414751	2858829503 960566712673	2746096457789296391519	22	71.218
1429414751	45741272033 80047226057	3661461942560282963881	22	71.633
1429414751	11435318009 960566712673	10984385828275485428057	23	73.218
1429414751	45741272033 960566712673	43937543310220241574209	23	75.218
1429414751	80047226057 960566712673	76890700792164997720361	23	76.025
1429414751	2858829503 93415112807353	267057880519733911735559	24	77.821
1429414751	11435318009 93415112807353	1068231521798690308520177	25	79.821
1429414751	45741272033 93415112807353	4272926086914515895658649	25	81.821
1429414751	80047226057 93415112807353	7477620652030341482797121	25	82.629
1429414751	960566712673 93415112807353	89731447823336531552684569	26	86.214
1429414751	2858829503 11435318009 45741272033	1495356489469661040161060188391	31	100.238
1429414751	2858829503 11435318009 80047226057	2616873856547388101906618015039	31	101.046
1429414751	2858829503 45741272033 80047226057	10467495425503028293171286181143	32	103.046
1429414751	2858829503 11435318009 960566712673	31402486278209049353375935565671	32	104.631
1429414751	11435318009 45741272033 80047226057	41869981691027727345004295832929	32	105.046
1429414751	2858829503 45741272033 960566712673	125609945104597908040135853088127	33	106.631
1429414751	2858829503 80047226057 960566712673	219817403930986766726895770610583	33	107.438
1429414751	11435318009 45741272033 960566712673	502439780286579002229882687629881	33	108.631
1429414751	11435318009 80047226057 960566712673	879269615493274964531088089281249	33	109.438
1429414751	2858829503 11435318009 93415112807353	3053891790552683480757654278382031	34	111.234
1429414751	45741272033 80047226057 960566712673	3517078461742427755747857363963913	34	111.438
1429414751	2858829503 45741272033 93415112807353	12215567161409560281471415378321447	35	113.234
1429414751	2858829503 80047226057 93415112807353	21377242532266437082185176478260863	35	114.042
1429414751	11435318009 45741272033 93415112807353	48862268632819462865142113826309841	35	115.234
1429414751	11435318009 80047226057 93415112807353	85508970106632886372649681464652089	35	116.042
1429414751	2858829503 960566712673 93415112807353	256526910384259608300505044710039207	36	117.627
1429414751	45741272033 80047226057 93415112807353	342035880404098683534507701410216993	36	118.042
1429414751	11435318009 960566712673 93415112807353	1026107641267844089732010584182103121	37	119.627
1429414751	45741272033 960566712673 93415112807353	4104430564802182015458032742070358777	37	121.627
1429414751	80047226057 960566712673 93415112807353	7182753488336519941184054899958614433	37	122.434
1429414751	2858829503 11435318009 45741272033 80047226057	119699138948379897324938140588917384104287	42	136.458
1429414751	2858829503 11435318009 45741272033 960566712673	1436389667364109846515091415625236947179143	43	140.043
1429414751	2858829503 11435318009 80047226057 960566712673	2513681917863640366692753190329132705889247	43	140.851
1429414751	2858829503 45741272033 80047226057 960566712673	10054727670795109254978052461135843511725239	44	142.851
1429414751	11435318009 45741272033 80047226057 960566712673	40218910672629201634684926577299801955009217	44	144.851
1429414751	2858829503 11435318009 45741272033 93415112807353	139688895151015754511481185294438791070039023	45	146.647
1429414751	2858829503 11435318009 80047226057 93415112807353	244455566511987151552177561654699643663781767	45	147.454
1429414751	2858829503 45741272033 80047226057 93415112807353	977822265983816878611910935372243045220344479	45	149.454
1429414751	2858829503 11435318009 960566712673 93415112807353	2933466798110253008930051221568061526903178863	46	151.039
1429414751	11435318009 45741272033 80047226057 93415112807353	3911289062909159873235347690885449076650726937	46	151.454
1429414751	2858829503 45741272033 960566712673 93415112807353	11733867191671431304567426061370730973482597831	47	153.039
1429414751	2858829503 80047226057 960566712673 93415112807353	20534267585232609600204800901173400420062016799	47	153.847
1429414751	11435318009 45741272033 960566712673 93415112807353	46935468754372433523863158199108825667719314993	47	155.039
1429414751	11435318009 80047226057 960566712673 93415112807353	82137070319382177935809643781141436980372223897	47	155.847
1429414751	45741272033 80047226057 960566712673 93415112807353	328548281255980451278229015301013583221613052289	48	157.847
1429414751	2858829503 11435318009 45741272033 80047226057 960566712673	11497900840943393621257309620857348390503742819652 9151	54	176.264
1429414751	2858829503 11435318009 45741272033 80047226057 93415112807353	11181708567805929254548952041166246013733206593892 422311	56	182.867
1429414751	2858829503 11435318009 45741272033 960566712673 93415112807353	13418050281213457320792625119436865912655965242493 8638479	57	186.452
1429414751	2858829503 11435318009 80047226057 960566712673 93415112807353	23481587991903540301528824983344761505530334559846 5233191	57	187.260
1429414751	2858829503 45741272033 80047226057 960566712673 93415112807353	93926351961453880930545517053317605751769318113367 4882367	57	189.260
1429414751	11435318009 45741272033 80047226057 960566712673 93415112807353	37570540774725103934538793282980171841677319748698 60372601	58	191.260
1429414751	2858829503 11435318009 45741272033 80047226057 960566712673 93415112807353	10740777041044860384280088293540194302499696670354 411418682311647303	68	222.672

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2¹	2⁵⁵	11435318009	33.413	11	3.35780e-6	235,279	2.741
2019-06-29			2¹	2⁵⁵	2858829503	31.413	10	3.35780e-6	235,279	0.685
2019-06-29			2¹	2⁵⁵	45741272033	35.413	11	3.35780e-6	235,279	10.96
2019-06-29			2¹	2⁵⁵	80047226057	36.220	11	3.35780e-6	235,279	21.93
2019-06-29			2¹	2⁵⁵	93415112807353	46.409	14	3.35780e-6	79,715	6.90545e-6
2019-06-29			2¹	2⁵⁵	960566712673	39.805	12	3.35780e-6	235,279	21.93
TF systematically completed to 64 but no per-exponent detailed record exists
2021-04-21	slaur	palvi2-rtx	2⁶⁴	2⁶⁸	11435318009	33.413	11	0.039	235,279	2.741
2021-04-21	slaur	palvi2-rtx	2⁶⁴	2⁶⁸	2858829503	31.413	10	0.039	235,279	0.685
2021-04-21	slaur	palvi2-rtx	2⁶⁴	2⁶⁸	45741272033	35.413	11	0.039	235,279	10.96
2021-04-21	slaur	palvi2-rtx	2⁶⁴	2⁶⁸	80047226057	36.220	11	0.039	235,279	21.93
2022-01-27	ramgeis	r4mg31s	2⁶⁸	2⁶⁹	11435318009	33.413	11	0.042	235,279	2.741
2022-01-27	ramgeis	r4mg31s	2⁶⁸	2⁶⁹	45741272033	35.413	11	0.042	235,279	10.96
2022-01-27	ramgeis	r4mg31s	2⁶⁹	2⁷⁰	11435318009	33.413	11	0.084	235,279	2.741
2022-01-27	ramgeis	r4mg31s	2⁶⁹	2⁷⁰	80047226057	36.220	11	0.084	235,279	21.93
2022-01-29	ramgeis	r4mg31s	2⁷¹	2⁷²	2858829503	31.413	10	0.335	235,279	0.685
2022-01-29	ramgeis	r4mg31s	2⁷¹	2⁷²	45741272033	35.413	11	0.335	235,279	10.96
2022-01-29	ramgeis	r4mg31s	2⁷¹	2⁷²	80047226057	36.220	11	0.335	235,279	21.93
2022-01-29	ramgeis	r4mg31s	2⁷¹	2⁷²	960566712673	39.805	12	0.335	235,279	21.93
2022-02-01	ramgeis	r4mg31s	2⁷³	2⁷⁴	11435318009	33.413	11	1.338	235,279	2.741
2022-02-01	ramgeis	r4mg31s	2⁷³	2⁷⁴	960566712673	39.805	12	1.338	235,279	21.93
2022-02-03	ramgeis	r4mg31s	2⁷⁴	2⁷⁵		-	-	2.677	-	-
2022-04-03	ramgeis	r4mg31s	2⁷⁵	2⁷⁶	45741272033	35.413	11	5.353	235,279	10.96
2022-04-03	ramgeis	r4mg31s	2⁷⁵	2⁷⁶	960566712673	39.805	12	5.353	235,279	21.93
2022-04-22	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	80047226057	36.220	11	10.71	235,279	21.93
2022-04-22	ramgeis	r4mg31s	2⁷⁶	2⁷⁷	960566712673	39.805	12	10.71	235,279	21.93

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