M233747 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	unknown	30000000	10070832992220	4,464.4073	72.8409%	4,464.4073	72.8409%
Target	2⁴⁴	0.0000	59.0909%	4500	100000	0.0001	9.8602%	0.0001	63.1246%
Difference	-44	0.0000	-59.0909%	+29995500	+10070832892220	+4,464.4072	+62.9807%	+4,464.4072	+9.7163%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

30000000

10070832992220

4,464.4073

72.8409%

4,464.4073

72.8409%

Target

2⁴⁴

0.0000

59.0909%

4500

100000

0.0001

9.8602%

0.0001

63.1246%

Difference

-44

0.0000

-59.0909%

+29995500

+10070832892220

+4,464.4072

+62.9807%

+4,464.4072

+9.7163%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
233747	43476943	8	25.374	93 3 × 31	-	3	31	1.951e-11	3.682e-8	4.968e-8
233747	532300426227820549498020586201	30	98.748	1138625150756631207027300 2² × 3³ × 5² × 653 × 60082829 × 10748638427	2017-09-08	60082829	10748638427	3.352e+11	5.2268	8.8990
233747	24713315483628402615795891408183812023	38	124.217	52863385377413191646942830085913 3³ × 11 × 43 × 113 × 167 × 1753 × 1011029 × 8027827 × 15416707	2021-07-02	8027827	15416707	6.689e+11	0.0686	0.1329

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

233747

43476943

25.374

93
3 × 31

1.951e-11

3.682e-8

4.968e-8

233747

532300426227820549498020586201

98.748

1138625150756631207027300
2² × 3³ × 5² × 653 × 60082829 × 10748638427

2017-09-08

60082829

10748638427

3.352e+11

5.2268

8.8990

233747

24713315483628402615795891408183812023

124.217

52863385377413191646942830085913
3³ × 11 × 43 × 113 × 167 × 1753 × 1011029 × 8027827 × 15416707

2021-07-02

8027827

15416707

6.689e+11

0.0686

0.1329

exponent	prime factors	composite factor	digits	bits*
233747	43476943 532300426227820549498020586201	23142795289982659044754119639087463543	38	124.122
233747	43476943 24713315483628402615795891408183812023	1074459408622729493708008870387797328846685689	46	149.590
233747	532300426227820549498020586201 24713315483628402615795891408183812023	13154908365437995851485830385676505967875552567263 702059453251694623	68	222.965
233747	43476943 532300426227820549498020586201 24713315483628402615795891408183812023	57193520117437091566928591298572546640448523006042 7640407831635091777577489	75	248.339

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-02	Oliver Kruse	Ollaptop	30000000	30000000			24713315483628402615795891408183812023	38	124.217	0.244	0.003	0.488	28.309%
2021-07-05	Oliver Kruse	Manual testing	30000000	3000000000	24	-	skipped known factor: 43476943 skipped known factor: 24713315483628402615795891408183812023	-	-	1.561	-	-	43.883%
2022-03-28	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 43476943 skipped known factor: 24713315483628402615795891408183812023	-	-	4,464	-	-	62.970%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-07-02

Oliver Kruse

Ollaptop

30000000

24713315483628402615795891408183812023

124.217

0.244

0.003

0.488

28.309%

2021-07-05

Oliver Kruse

Manual testing

30000000

3000000000

skipped known factor: 43476943
skipped known factor: 24713315483628402615795891408183812023

1.561

-

-

43.883%

2022-03-28

Oliver Kruse

Threadripper-PC

30000000

10070832992220

skipped known factor: 43476943
skipped known factor: 24713315483628402615795891408183812023

4,464

-

-

62.970%

ECM factoring results:

Total ECM effort:	12.719 GHz-days
Estimated T-Level:	28.159

Digits	B1	Complete	FacMiss
20	11000	44.118	0.000%
25	50000	6.140	0.215%
30	250000	0.632	53.162%
35	1000000	0.051	95.012%
40	3000000	0.003	99.661%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		30	0.039
50000	5000000		274	1.635
250000	25000000		256	7.636
250000	25000000	532300426227820549498020586201	40	1.193
250000	36250000		35	1.200
250000	36250000	43476943	1	0.034
250000	37951073		14	0.489
250000	38500000		14	0.492

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-26	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-04	TJAOI	Manual testing	50000	5000000						43	0.257
2015-01-02	TJAOI	Manual testing	50000	5000000						50	0.298
2015-07-24	TJAOI	Manual testing	50000	5000000						90	0.537
2016-05-20	TJAOI	Manual testing	50000	5000000						91	0.543
2017-09-08	TJAOI	Manual testing	250000	25000000						4	0.119
2017-09-08	TJAOI	Manual testing	250000	25000000	532300426227820549498020586201	98.748	40	2		40	1.193
2019-12-08	Ducho_YYZ	oracleDE2	250000	25000000						3	0.089
2019-12-09	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-10	Ducho_YYZ	oracle	250000	25000000						3	0.089
2019-12-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13	Ducho_YYZ	oracleAU2	250000	25000000						3	0.089
2019-12-14	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-19	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-21	Ducho_YYZ	oracleSW	250000	25000000						3	0.089
2019-12-22	Ducho_YYZ	oracleSW	250000	25000000						3	0.089
2019-12-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01	Ducho_YYZ	Dutch	250000	25000000						3	0.089
2020-01-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-05	astraeus	x7	250000	25000000						3	0.089
2020-02-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-22	Oliver Kruse	IOS-1	250000	25000000						3	0.089
2020-04-23	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-04-24	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-04-24	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.089
2020-04-25	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-04-25	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-04-26	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-04-26	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-04-27	Greg	azure	250000	25000000						3	0.089
2020-05-01	Greg	azure4	250000	25000000						3	0.089
2020-05-02	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-07	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-24	Oliver Kruse	IOS-3	250000	25000000						3	0.089
2020-06-09	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2020-06-22	nordi	sweet16	250000	25000000						3	0.089
2020-07-01	debrouxl	p4	250000	25000000						3	0.089
2020-07-25	Ahmed Azhad	c5.large.az	250000	25000000						3	0.089
2020-08-05	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.089
2020-08-14	ViliamF	3	250000	25000000						3	0.089
2020-09-28	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2020-10-29	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.209
2020-11-18	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-01-11	Lisander Viaene		250000	25000000						7	0.209
2021-02-05	seatsea	dt	250000	37951073						7	0.245
2021-03-30	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-05-12	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-07-04	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-07-14	seatsea	Manual testing	250000	37951073						7	0.245
2021-09-18	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-10-21	Dylan Delgado	colab	250000	38500000						7	0.246
2021-12-27	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-03-01	Dylan Delgado	colab	250000	38500000						7	0.246
2022-05-07	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-06-01	Corey	tab	250000	25000000						7	0.209
2022-06-25	debrouxl	o9020	250000	36250000						7	0.240
2022-07-20	debrouxl	o9020	250000	36250000						7	0.240
2022-08-25	debrouxl	z400	250000	36250000						7	0.240
2022-09-22	debrouxl	dl380g9-1	250000	36250000						7	0.240
2022-10-18	debrouxl	dl380g9-1	250000	36250000						7	0.240
2022-11-15	JackBlock	school10	250000	25000000						7	0.209
2022-12-18	kracker	Manual testing	250000	36250000	43476943	25.374	1	2	1533316850369873	1	0.034

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