M259271 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	114.6056	73.1343%	30000000	10035812696910	5,417.9473	23.4535%	5,532.5529	79.4353%	6.3009%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2794%	0.0001	61.4257%	6.4257%
GPU72	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5475%	0.0001	63.4058%	4.3149%
Difference	+23	+114.6056	+14.0434%	+29995000	+10035812576910	+5,417.9472	+12.9060%	+5,532.5528	+16.0295%	+16.0295%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
259271	518543	6	18.984	1 1	-	1	1	1.347e-13	9.908e-9	2.017e-8
259271	2074169	7	20.984	4 2²	2008-07-21	4	4	5.392e-13	3.963e-8	8.066e-8
259271	7436234328939361691157977	25	82.621	14340659635939541428 2² × 233 × 20297 × 758091040957	2017-07-14	20297	758091040957	7,480,317	409.24	764.35
259271	162704005316473365983002559	27	87.072	313772086574420907049 1409 × 20261 × 10991132315701	2020-05-04	20261	10991132315701	169,270,390	5,933.4	11,082
259271	55259256261505421629075583009	29	95.480	106566596845589020039024 2⁴ × 23 × 289583143602144076193	2021-04-26	23	289583143602144076193	3.540e+10	1.563e+11	2.920e+11

exponent	prime factors	composite factor	digits	bits*
259271	518543 2074169	1075545815767	13	39.968
259271	518543 7436234328939361691157977	3856007257631203429418130867511	31	101.605
259271	2074169 7436234328939361691157977	15424006721821826899587449996113	32	103.605
259271	518543 162704005316473365983002559	84369023028820048616924095951537	32	106.056
259271	2074169 162704005316473365983002559	337475604003264245047598434798471	33	108.056
259271	518543 55259256261505421629075583009	28654300519609805847805740040235887	35	114.464
259271	2074169 55259256261505421629075583009	114617036300670438874958072934194521	36	116.464
259271	518543 2074169 7436234328939361691157977	7998010717553655585992775083334423359	37	122.589
259271	518543 2074169 162704005316473365983002559	174995612126664651419716835175703547753	39	127.041
259271	518543 2074169 55259256261505421629075583009	59433861854458551385537384013516029502903	41	135.448
259271	7436234328939361691157977 162704005316473365983002559	12099051097902916576127699956217810260174640642631 43	52	169.693
259271	7436234328939361691157977 55259256261505421629075583009	41092077840346398969018529587171958936684158159601 2793	54	178.101
259271	162704005316473365983002559 55259256261505421629075583009	89909023245563422590601528654681852929503021872639 20031	55	182.553
259271	518543 7436234328939361691157977 162704005316473365983002559	62738782534598720701349859183970519857417386827520 2960649	57	188.677
259271	2074169 7436234328939361691157977 162704005316473365983002559	25095476716686194571790215290488339289536174207086 19053167	58	190.677
259271	518543 7436234328939361691157977 55259256261505421629075583009	21308009319566742760591775387720909102905013424554 1261720599	60	197.085
259271	2074169 7436234328939361691157977 55259256261505421629075583009	85231914002033450003170194495294874895743243645742 0258844017	60	199.085
259271	518543 162704005316473365983002559 55259256261505421629075583009	46621694640824193840398288473184692063623285470903 94884634833	61	201.537
259271	2074169 162704005316473365983002559 55259256261505421629075583009	18648650883622703867132538208815280420893435337455 017746779239	62	203.537
259271	518543 2074169 7436234328939361691157977 162704005316473365983002559	13013083783100609391839813607375694920213956381865 09449686375681	64	209.661
259271	518543 2074169 7436234328939361691157977 55259256261505421629075583009	44196412382356431264993882164173690313063388789794 0073281753107231	66	218.069
259271	518543 2074169 162704005316473365983002559 55259256261505421629075583009	96701273751463677313745077604137019552913446401899 37267468146928777	67	222.521
259271	7436234328939361691157977 162704005316473365983002559 55259256261505421629075583009	66858456514006578889571610020894027814786009335620 640279982668640246324715737287	80	265.173
259271	518543 7436234328939361691157977 162704005316473365983002559 55259256261505421629075583009	34668984616142513437135131375064451865162581638920 733672703052944719249957072560012841	86	284.158
259271	2074169 7436234328939361691157977 162704005316473365983002559 55259256261505421629075583009	13867573788920051172880385678542774477856688219765 4927828891371830871079089316092839503	87	286.158
259271	518543 2074169 7436234328939361691157977 162704005316473365983002559 55259256261505421629075583009	71909333152279700953389138309086059060712406795418 579241176818623295381964211234729274404129	92	305.142

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-09-04T17:36:37	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 518543 skipped known factor: 2074169	-	-	1.901	-	-	12.602%
2022-05-01T08:18:36	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 518543 skipped known factor: 2074169 skipped known factor: 7436234328939361691157977	-	-	5,418	-	-	23.453%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:15:00	J Feitsma	Manual testing	?	?	2074169	20.984	7	4.66474e-16	0.004	9.69594e-16

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.784 GHz-days
Estimated T-Level:	26.836

Digits	B1	Curves	Complete	FacMiss
20	11000	516 / 100	5.160	0.559%
25	50000	516 / 280	1.843	15.784%
30	250000	235 / 640	0.367	69.248%

New Calculation Method

Total ECM effort:	10.784 GHz-days
Estimated T-Level:	26.836

Digits	B1	Complete	FacMiss
20	11000	28.648	0.000%
25	50000	3.679	2.524%
30	250000	0.359	69.811%
35	1000000	0.028	97.235%
40	3000000	0.002	99.819%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.048
250000	25000000		168	6.123
250000	25000000	7436234328939361691157977	38	1.385
250000	25000000	162704005316473365983002559	3	0.109
250000	38500000		21	0.903
250000	38500000	55259256261505421629075583009	5	0.215

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-09-19T12:42:00	TJAOI	Manual testing	50000	5000000						50	0.364
2015-01-30T11:26:00	TJAOI	Manual testing	50000	5000000						50	0.364
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000						90	0.656
2016-02-19T14:31:57	TJAOI	Manual testing	50000	5000000						91	0.663
2017-07-14T09:29:14	TJAOI	Manual testing	250000	25000000						6	0.219
2017-07-14T09:29:14	TJAOI	Manual testing	250000	25000000	7436234328939361691157977	82.621	38	2		38	1.385
2020-01-12T15:47:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-14T20:25:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-17T00:59:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-19T08:29:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-21T17:39:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-25T11:39:02	astraeus	x7	250000	25000000						3	0.109
2020-01-26T11:05:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-29T00:49:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-31T18:28:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-03T19:02:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-06T23:56:24	kracker	O0	250000	25000000						3	0.109
2020-02-10T07:21:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-14T16:24:42	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.109
2020-02-17T17:19:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-20T19:57:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-24T17:02:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-27T18:34:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-02T20:49:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-07T18:36:11	Naegi Makoto	1700	250000	25000000						3	0.109
2020-03-13T14:29:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-19T04:04:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-04-01T23:29:09	Hans Loeblich	tomservo	250000	25000000						3	0.109
2020-04-16T16:34:11	Oliver Kruse	Melissa	250000	25000000						3	0.109
2020-04-30T19:43:44	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-05-04T23:07:14	Greg Hogan	azure2	250000	25000000	162704005316473365983002559	87.072	3	2	5403225308596937	3	0.109
2020-05-17T05:18:44	Oliver Kruse	IOS-1	250000	25000000						3	0.109
2020-06-07T01:53:36	Team_Inspector	SpudBoy4	250000	25000000						3	0.109
2020-06-19T07:10:31	nordi	sweet16	250000	25000000						3	0.109
2020-06-28T04:45:49	MarkS	desktop-i7	250000	25000000						3	0.109
2020-07-06T08:19:15	TJAOI	Manual testing	250000	25000000						22	0.802
2020-11-04T23:37:18	nordi	sweet16	250000	25000000						7	0.255
2020-12-18T16:48:13	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-01-24T08:11:02	nordi	sweet16	250000	38500000						7	0.301
2021-03-08T09:43:37	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.255
2021-04-26T12:39:52	nordi	sweet16	250000	38500000	55259256261505421629075583009	95.480	5	2	4626521477126992	5	0.215
2021-06-02T11:41:29	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-07-22T09:55:12	happy5214	Focus	250000	38500000						7	0.301
2021-08-28T14:50:34	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-10-01T14:15:36	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2021-12-03T16:01:35	mnd9	f4	250000	25000000						7	0.255
2022-01-24T09:09:35	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-03-20T00:36:47	Dylan Delgado	colab	250000	38500000						7	0.301

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T08:19:48

Oliver Kruse

Doppelherz

518543

2074169

7436234328939361691157977

D5088EDEAD8D8DD3

2017-09-22T10:03:10

Oliver Kruse

Manual testing

518543

2074169

7436234328939361691157977

D5088EDEAD8D8DD3

2017-09-28T13:09:36

alpertron

Manual testing

518543

2074169

7436234328939361691157977

D5088EDEAD8D8D__

2017-12-07T04:56:01

ATH

xps

518543

2074169

7436234328939361691157977

D5088EDEAD8D8D__

2020-04-17T20:17:29

Oliver Kruse

AddPrpType5

518543

2074169

7436234328939361691157977

E4ED5E8111F68C__

2020-05-05T11:36:33

Oliver Kruse

Threadripper-PC

518543

2074169

7436234328939361691157977

162704005316473365983002559

E4ED5E8111F68C68

2021-04-26T15:11:29

mikr

Nitron

518543

2074169

7436234328939361691157977

162704005316473365983002559

55259256261505421629075583009

E4ED5E8111F68C68

2021-04-27T16:44:10

Chad Steenerson

Laura072713

518543

2074169

7436234328939361691157977

162704005316473365983002559

55259256261505421629075583009

E4ED5E8111F68C68

2022-05-12T18:22:07

Jorge Coveiro

Manual testing

518543

E4ED5E8111F68C68

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