M225749 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	131.6237	73.1343%	30000000	10070832992220	4,464.4073	23.2802%	4,596.0309	79.3887%
Target	2⁴⁴	0.0000	59.0909%	4000	100000	0.0001	9.6386%	0.0001	63.0340%
Difference	+23	+131.6237	+14.0434%	+29996000	+10070832892220	+4,464.4072	+13.6416%	+4,596.0309	+16.3547%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
225749	578538117630397751	18	59.005	1281374707375 5³ × 7 × 127 × 11530931	2014-04-23	127	11530931	0.6005	0.0051	0.0095
225749	9567977676190932303802168975413450208513	40	132.813	21191628038642324669881525445103744 2⁷ × 3⁵ × 7² × 149 × 599 × 1871 × 3251 × 12155159 × 2107111451	2021-06-14	12155159	2107111451	6.514e+11	1.0275	1.7445

exponent	prime factors	composite factor	digits	bits*
225749	578538117630397751 9567977676190932303802168975413450208513	55354397943131693162051487504616528511289816966180 76254263	58	191.819

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-13	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.670%
2002-06-02	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.524%
2002-08-03	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.197%
2021-06-14	Oliver Kruse	Ollaptop	30000000	3000000000			9567977676190932303802168975413450208513	40	132.813	1.561	0.003	3.121	12.472%
2022-03-15	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 578538117630397751 skipped known factor: 9567977676190932303802168975413450208513	-	-	4,464	-	-	23.280%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2003-02-24	ANONYMOUS	v4_computers	?	?	578538117630397751	59.005	18	0.260	0.003	0.540
2003-08-25	ANONYMOUS	v4_computers	?	?	578538117630397751	59.005	18	0.260	0.003	0.540
1999-11-17	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-19	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.011	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.011	-	-
2001-02-11	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.043	-	-
2002-04-07	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.085	-	-

ECM factoring results:

Total ECM effort:	14.233 GHz-days
Estimated T-Level:	28.483

Digits	B1	Complete	FacMiss
20	11000	47.771	0.000%
25	50000	6.721	0.121%
30	250000	0.697	49.826%
35	1000000	0.057	94.491%
40	3000000	0.004	99.624%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	1.675
250000	25000000	334	9.95
250000	33000000	14	0.461
250000	34405799	7	0.235
250000	36214190	7	0.240
250000	36250000	21	0.719
250000	38500000	7	0.246
250000	172959150	8	0.706

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28	TJAOI	Manual testing	50000	5000000						50	0.298
2015-01-02	TJAOI	Manual testing	50000	5000000						50	0.298
2015-06-12	TJAOI	Manual testing	50000	5000000						90	0.536
2016-04-15	TJAOI	Manual testing	50000	5000000						91	0.542
2017-05-19	TJAOI	Manual testing	250000	25000000						44	1.311
2019-11-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-09	Ducho_YYZ	oracleDE2	250000	25000000						3	0.089
2019-12-10	Ducho_YYZ	oracleSW2	250000	25000000						3	0.089
2019-12-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12	Ducho_YYZ	oracleKO2	250000	25000000						3	0.089
2019-12-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-14	Niels_Mache_Nextcloud	SuperDry-Y	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
2019-12-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-24	Ducho_YYZ	oracleJP	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	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-04	kracker	O0	250000	25000000						3	0.089
2020-01-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-09	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	kracker	O0	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
2020-01-30	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	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-08	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
2020-02-18	kracker	O0	250000	25000000						3	0.089
2020-02-22	kracker	O0	250000	25000000						3	0.089
2020-02-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-10	MarkS	desktop-i7	250000	25000000						3	0.089
2020-03-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-10	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-04-27	Greg	azure2	250000	25000000						3	0.089
2020-05-02	Oliver Kruse	IOS-1	250000	25000000						3	0.089
2020-05-08	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-25	nordi	sweet16	250000	25000000						3	0.089
2020-06-10	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2020-06-23	kracker	O0	250000	25000000						3	0.089
2020-07-02	kracker	O0	250000	25000000						3	0.089
2020-07-17	nordi	sweet16	250000	25000000						3	0.089
2020-07-26	MarkS	desktop-i7	250000	25000000						3	0.089
2020-08-15	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-09-29	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2020-10-30	nordi	sweet16	250000	25000000						7	0.209
2020-11-20	nordi	sweet16	250000	25000000						7	0.209
2021-01-16	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-02-06	Kublenz	Medion_E4272	250000	25000000						7	0.209
2021-03-21	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-05-05	MarkS	desktop-i7	250000	25000000						21	0.626
2021-09-08	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-10-10	Eric	miniPCWindows	250000	38500000						7	0.246
2021-12-04	Luminescence	W-2295	250000	36250000						7	0.240
2022-02-25	Team_Inspector	SpudBoy4	250000	33000000						7	0.231
2022-04-25	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-05-28	debrouxl	dl380g9-1	250000	36250000						7	0.240
2022-06-24	debrouxl	dl380g9-1	250000	36250000						7	0.240
2022-07-18	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-08-20	debrouxl	z400	250000	36214190						7	0.240
2022-09-18	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-10-11	debrouxl	dl380g9-1	250000	34405799						7	0.235
2022-11-07	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-12-10	MarkS	desktop-i7	250000	33000000						7	0.231
2023-01-21	Nesowa	309b3ECMtrial	250000	172959150						8	0.706

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