M1795247 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	16.5514	68.6567%	500000	15000000	0.1015	5.0569%	16.6529	70.2417%	1.5850%
PrimeNet	2⁵⁷	0.0107	63.1579%	8000	140000	0.0012	2.8160%	0.0119	64.1954%	1.0375%
GPU72	2⁶¹	0.1711	65.5738%	8000	130000	0.0012	1.4943%	0.1723	66.0882%	0.5144%
Difference	+6	+16.3803	+3.0829%	+492000	+14870000	+0.1003	+3.5626%	+16.4807	+4.1535%	+4.1535%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1795247	66312833687	11	35.949	18469 11 × 23 × 73	-	23	73	5.093e-9	2.024e-6	3.682e-6
1795247	18791411503716767	17	54.061	5233656289 5233656289	2014-10-30	1	5233656289	0.0014	22.430	41.893
1795247	2043632065369282681	19	60.826	569178521220 2² × 3 × 5 × 59 × 709 × 226777	2015-06-30	709	226777	0.0956	0.0010	0.0018
1795247	3000552642878339711	19	61.380	835693540465 5 × 7 × 35407 × 674357	2015-06-30	35407	674357	0.2943	0.0055	0.0057
1795247	76391316862155142817	20	66.050	21275990674864 2⁴ × 1693 × 785439703	2017-12-14	1693	785439703	14.613	3.3663	6.2871

exponent	prime factors	composite factor	digits	bits*
1795247	66312833687 18791411503716767	1246111745789948552424329929	28	90.009
1795247	66312833687 2043632065369282681	135519033268253554663642474847	30	96.774
1795247	66312833687 3000552642878339711	198975148376279646230230644457	30	97.329
1795247	66312833687 76391316862155142817	5065724690211012690015453676279	31	101.999
1795247	18791411503716767 2043632065369282681	38402731102544794539200624182412327	35	114.887
1795247	18791411503716767 3000552642878339711	56384619450891780991005074552634337	35	115.441
1795247	18791411503716767 76391316862155142817	1435500670467574791115317979202512639	37	120.111
1795247	2043632065369282681 3000552642878339711	6132025594814721051806182060306845191	37	122.206
1795247	2043632065369282681 76391316862155142817	156115744655285425161452785682399652377	39	126.876
1795247	3000552642878339711 76391316862155142817	229216167703696290769051447493047505887	39	127.430
1795247	66312833687 18791411503716767 2043632065369282681	2546593920729635102745596793334898990809659649	46	150.835
1795247	66312833687 18791411503716767 3000552642878339711	3739023892151771936691747551781876717206510519	46	151.389
1795247	66312833687 18791411503716767 76391316862155142817	95192117218293279649463846392977145522522469993	47	156.060
1795247	66312833687 2043632065369282681 3000552642878339711	406631993433375846687721061923570829338438749217	48	158.154
1795247	66312833687 2043632065369282681 76391316862155142817	10352477411248101544246503700259822951142615223999	50	162.824
1795247	66312833687 3000552642878339711 76391316862155142817	15199973607306712824926901964353072346674784415369	50	163.379
1795247	18791411503716767 2043632065369282681 3000552642878339711	11522941630348699991616551165870225212861758858001 7497	54	176.267
1795247	18791411503716767 2043632065369282681 76391316862155142817	29336352000266399220765044774003375611555756442663 05159	55	180.937
1795247	18791411503716767 3000552642878339711 76391316862155142817	43072953306251101588524613660653141135156811998131 07329	55	181.491
1795247	2043632065369282681 3000552642878339711 76391316862155142817	46843351022033671977536362759640661795611277848931 4643047	57	188.256
1795247	66312833687 18791411503716767 2043632065369282681 3000552642878339711	76411891191832197436072665173887819516573598847296 90770111021439	64	212.215
1795247	66312833687 18791411503716767 2043632065369282681 76391316862155142817	19453766311769555112209388110015943481056887923097 9369146757091233	66	216.885
1795247	66312833687 18791411503716767 3000552642878339711 76391316862155142817	28562895890053460771003742133848200038897920626971 9201790657792023	66	217.439
1795247	66312833687 2043632065369282681 3000552642878339711 76391316862155142817	31063153456658803623602812236749515615349854544977 393030989481924289	68	224.204
1795247	18791411503716767 2043632065369282681 3000552642878339711 76391316862155142817	88025268526808611823401557372461516233872175972019 47233839185358393869049	73	242.317
1795247	66312833687 18791411503716767 2043632065369282681 3000552642878339711 76391316862155142817	58372049920717749767245692886568292398246162012493 2483470127597174738127686793853663	84	278.265

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2015-06-30T15:00:00	alpertron	Manual testing	500000	15000000	12		2043632065369282681 3000552642878339711	37	122.206	0.101	0.195	0.203	5.057%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2014-10-30T12:18:00	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	18791411503716767	54.061	17	4.88994e-5	0.206	0.000

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.782 GHz-days
Estimated T-Level:	24.607

Digits	B1	Curves	Complete	FacMiss
20	11000	258 / 100	2.580	7.480%
25	50000	258 / 280	0.921	39.729%

New Calculation Method

Total ECM effort:	17.782 GHz-days
Estimated T-Level:	24.607

Digits	B1	Complete	FacMiss
20	11000	8.323	0.024%
25	50000	0.752	47.133%
30	250000	0.046	95.474%
35	1000000	0.002	99.788%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		255	17.57
50000	5000000	76391316862155142817	3	0.207

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-12-15T03:59:46	Chang Chia-Tche	exbpc13	50000	5000000	76391316862155142817	66.050	3	2		3	0.207
2018-12-22T05:41:22	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2020-03-18T06:01:51	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.207
2020-04-18T13:39:00	kracker	O0	50000	5000000						3	0.207
2020-05-07T19:21:09	Greg Hogan	azure3	50000	5000000						3	0.207
2020-06-15T18:20:56	nordi	sweet16	50000	5000000						3	0.207
2020-07-12T03:18:17	-Anonymous-	aws-nano	50000	5000000						3	0.207
2020-08-14T07:35:42	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2020-10-16T20:10:58	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.482
2021-01-01T00:48:11	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.482
2021-01-01T10:32:30	TJAOI	Manual testing	50000	5000000						220	15.16

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-03T17:29:50

Oliver Kruse

GTX-0

66312833687

18791411503716767

2043632065369282681

3000552642878339711

A0FEE4019415AD4C

2017-10-05T21:07:14

Oliver Kruse

Manual testing

66312833687

18791411503716767

2043632065369282681

3000552642878339711

A0FEE4019415AD__

2017-11-11T03:12:38

kkmrkkblmbrbk

c4.xlarge

66312833687

18791411503716767

2043632065369282681

3000552642878339711

A0FEE4019415AD__

2017-12-16T22:24:04

Oliver Kruse

Threadripper

66312833687

18791411503716767

2043632065369282681

3000552642878339711

76391316862155142817

058FAB29B19BCD__

2017-12-18T03:30:18

kkmrkkblmbrbk

old

66312833687

18791411503716767

2043632065369282681

3000552642878339711

76391316862155142817

058FAB29B19BCD__

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