M14 379 091 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	66.5086	66.6667%	300000	214790940	8.3230	5.6824%	74.8316	68.5608%
Target	2⁶⁹	8.3028	65.2174%	100000	12000000	0.5196	2.9220%	8.8224	66.2337%
Difference	+3	+58.2058	+1.4493%	+200000	+202790940	+7.8033	+2.7604%	+66.0092	+2.3271%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
14379091	6125492767	10	32.512	213 3 × 71	-	3	71	4.163e-11	4.656e-6	5.312e-6
14379091	3022168588199	13	41.459	105089 19 × 5531	2008-09-08	19	5531	3.558e-8	0.0002	0.0004
14379091	12873427623209	14	43.549	447644 2² × 17 × 29 × 227	2008-09-08	29	227	1.542e-7	2.763e-5	4.098e-5
14379091	4416708991765489477006852574261424263844551	43	141.664	153580952779472967971579447346895025 5² × 307 × 389 × 4001 × 5683 × 17971 × 84377 × 161911 × 9214897	2023-01-18	161911	9214897	1.183e+10	0.4549	0.6511

exponent	prime factors	composite factor	digits	bits*
14379091	6125492767 3022168588199	18512271827667576056633	23	73.971
14379091	6125492767 12873427623209	78856087792464730829303	23	76.062
14379091	3022168588199 12873427623209	38905668585315551655910591	26	85.008
14379091	6125492767 3022168588199 12873427623209	238316391514649534080895197969195297	36	117.520
14379091	6125492767 4416708991765489477006852574261424263844551	27054518983003368351620088253073684695298096762862 617	53	174.176
14379091	3022168588199 4416708991765489477006852574261424263844551	13348039178129738049215990516604177372610049575669 053649	56	183.123
14379091	12873427623209 4416708991765489477006852574261424263844551	56858183538269423950694826590480110129519520692575 784159	56	185.213
14379091	6125492767 3022168588199 4416708991765489477006852574261424263844551	81763317439266335008077239930199481897907922587272 207312684456783	65	215.635
14379091	6125492767 12873427623209 4416708991765489477006852574261424263844551	34828439200842782410723772490430518565573525718767 9796465307677953	66	217.726
14379091	3022168588199 12873427623209 4416708991765489477006852574261424263844551	17183501627141132746876038106204439916372004888569 2924312620378539641	69	226.672
14379091	6125492767 3022168588199 12873427623209 4416708991765489477006852574261424263844551	10525741492878573952917601326517167453102280082621 98417660034575561372968276647	79	259.184

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-11-15	nordi	sweet16_30.8b14	300000	300000		-	skipped known factor: 6125492767 skipped known factor: 3022168588199 skipped known factor: 12873427623209	-	-	0.208	-	-	1.186%
2023-01-18	nordi	sweet16_30.8b14	300000	214790940			4416708991765489477006852574261424263844551	43	141.664	8.323	13.77	16.65	5.682%

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	?	?	12873427623209	43.549	14	7.27443e-8	22.23	2.34853e-7
2008-09-08	Will Edgington	Manual testing	?	?	3022168588199	41.459	13	1.52094e-8	22.23	4.91033e-8
2023-01-22	Dobri	Manual testing	2¹	2⁶⁴	12873427623209	43.549	14	1.54238e-7	22.23	4.97952e-7
2023-01-22	Dobri	Manual testing	2¹	2⁶⁴	3022168588199	41.459	13	3.55828e-8	22.23	1.14878e-7
2023-01-22	Dobri	Manual testing	2¹	2⁶⁴	6125492767	32.512	10	4.16262e-11	22.23	1.34389e-10
TF systematically completed to 67 but no per-exponent detailed record exists
2023-01-22	Dobri	Manual testing	2⁶⁷	2⁶⁸		-	-	2.079	-	-
2023-01-22	Dobri	Manual testing	2⁶⁸	2⁶⁹		-	-	4.158	-	-
2023-01-22	Dobri	Manual testing	2⁶⁹	2⁷⁰		-	-	8.315	-	-
2023-01-22	Dobri	Manual testing	2⁷⁰	2⁷¹		-	-	16.63	-	-
2023-01-22	Dobri	Manual testing	2⁷¹	2⁷²		-	-	33.26	-	-

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 = 300000, B2 = 214790940 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁴

this exponent TF target: 69

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

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