M195 271 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	152.1676	73.1343%	100000000	2000000000	1.3607	12.3094%	153.5283	76.4413%
Target	2⁴⁴	0.0000	59.0909%	3600	400000	0.0002	8.8302%	0.0002	62.7033%
Difference	+23	+152.1676	+14.0434%	+99996400	+1999600000	+1.3606	+3.4792%	+153.5281	+13.7381%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

152.1676

73.1343%

100000000

2000000000

1.3607

12.3094%

153.5283

76.4413%

Target

2⁴⁴

0.0000

59.0909%

3600

400000

0.0002

8.8302%

0.0002

62.7033%

Difference

+23

+152.1676

+14.0434%

+99996400

+1999600000

+1.3606

+3.4792%

+153.5281

+13.7381%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
195271	150285638647	12	37.129	384813 3² × 11 × 13² × 23	-	169	169	1.212e-7	1.130e-6	2.300e-6
195271	14426432457673	14	43.714	36939516 2² × 3 × 53 × 241²	2008-07-27	58081	58081	9.399e-6	0.0004	0.0008
195271	16391946377143	14	43.898	41972301 3² × 7 × 139 × 4793	2008-07-27	139	4793	1.148e-5	2.625e-6	3.263e-6

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

195271

150285638647

37.129

384813
3² × 11 × 13² × 23

169

1.212e-7

1.130e-6

2.300e-6

195271

14426432457673

43.714

36939516
2² × 3 × 53 × 241²

2008-07-27

58081

9.399e-6

0.0004

0.0008

195271

16391946377143

43.898

41972301
3² × 7 × 139 × 4793

2008-07-27

139

4793

1.148e-5

2.625e-6

3.263e-6

exponent	prime factors	composite factor	digits	bits*
195271	150285638647 14426432457673	2168085615299196600488431	25	80.843
195271	150285638647 16391946377143	2463474129956313678245521	25	81.027
195271	14426432457673 16391946377143	236477307259651118042168239	27	87.612
195271	150285638647 14426432457673 16391946377143	35539143147039517729374838074734332633	38	124.741

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-06-09	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 150285638647 skipped known factor: 14426432457673 skipped known factor: 16391946377143	-	-	1.361	-	-	12.309%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2017-06-09

kkmrkkblmbrbk

Manual testing

100000000

2000000000

skipped known factor: 150285638647
skipped known factor: 14426432457673
skipped known factor: 16391946377143

1.361

-

-

12.309%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-27	J Feitsma	Manual testing	?	?	14426432457673	43.714	14	3.39791e-6	0.002	6.99167e-6
2008-07-27	J Feitsma	Manual testing	?	?	16391946377143	43.898	14	5.48263e-6	0.002	1.12813e-5

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2008-07-27

J Feitsma

Manual testing

14426432457673

43.714

3.39791e-6

0.002

6.99167e-6

2008-07-27

J Feitsma

Manual testing

16391946377143

43.898

5.48263e-6

0.002

1.12813e-5

ECM factoring results:

Total ECM effort:	23.005 GHz-days
Estimated T-Level:	29.933

Digits	B1	Complete	FacMiss
20	11000	63.149	0.000%
25	50000	9.285	0.009%
30	250000	0.987	37.283%
35	1000000	0.082	92.142%
40	3000000	0.006	99.450%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	1.371
250000	25000000	474	11.56
250000	235419030	7	0.645
250000	367537170	60	8.074
250000	551335785	7	1.356

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-06	TJAOI	Manual testing	50000	5000000						50	0.244
2014-12-12	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-12	TJAOI	Manual testing	50000	5000000						90	0.439
2016-01-29	TJAOI	Manual testing	50000	5000000						91	0.444
2017-03-24	TJAOI	Manual testing	250000	25000000						44	1.073
2019-01-11	TJAOI	Manual testing	250000	25000000						100	2.439
2019-11-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-14	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-20	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-01-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-18	kracker	O0	250000	25000000						3	0.073
2020-01-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28	volki	home	250000	25000000						3	0.073
2020-01-30	MarkS	laptop64	250000	25000000						3	0.073
2020-02-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-09	Jay G.	Optiplex	250000	25000000						3	0.073
2020-02-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-16	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-22	Hans Loeblich	tomservo	250000	25000000						3	0.073
2020-04-12	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-29	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-05-03	Greg Hogan	azure4	250000	25000000						3	0.073
2020-05-09	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.073
2020-05-28	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-06-14	nordi	sweet16	250000	25000000						3	0.073
2020-07-09	nordi	sweet16	250000	25000000						150	3.658
2021-12-18	King	PleaseFactor	250000	25000000						3	0.073
2022-10-15	Stef42	AMD-DESKTOP	250000	551335785						7	1.356
2022-12-14	Nesowa	309b3ECMtrial	250000	235419030						7	0.645
2023-03-22	Naegi Makoto	5950X	250000	367537170						50	6.729
2023-05-20	USAFSS	6917th_Scty_Sq	250000	367537170						10	1.346

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