M233 071 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	127.4887	73.1343%	30000000	10070832992220	4,464.4073	23.3211%	4,591.8959	79.3997%
Target	2⁴⁴	0.0000	59.0909%	4500	500000	0.0003	9.8557%	0.0003	63.1228%
Difference	+23	+127.4887	+14.0434%	+29995500	+10070832492220	+4,464.4070	+13.4654%	+4,591.8957	+16.2769%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
233071	104415809	9	26.638	224 2⁵ × 7	-	32	32	4.022e-11	2.604e-7	5.299e-7
233071	45335106353	11	35.400	97256 2³ × 12157	2008-07-21	8	12157	2.064e-8	5.450e-6	1.007e-5
233071	562483215897123537271	21	68.930	1206677827565685 3² × 5 × 61 × 15451 × 28450663	2014-08-04	15451	28450663	324.86	0.0127	0.0236
233071	3872987756539344582480784405887544193203153	43	141.474	8308600719393113219750171419626517656 2³ × 3² × 53437 × 2827793 × 7816981 × 17067581 × 5723934823	2022-03-27	17067581	5723934823	8.033e+11	2.6686	4.7390

exponent	prime factors	composite factor	digits	bits*
233071	104415809 45335106353	4733701805949534577	19	62.038
233071	104415809 562483215897123537271	58732140036819814917093117239	29	95.568
233071	45335106353 562483215897123537271	25500236414473555868960344382663	32	104.330
233071	104415809 45335106353 562483215897123537271	2662627814908515645164192347634362719367	40	130.968
233071	104415809 3872987756539344582480784405887544193203153	40440114984615070490949833069533228995655952184577 7	51	168.112
233071	45335106353 3872987756539344582480784405887544193203153	17558231184657805787568074161977573535685252098993 1009	54	176.874
233071	104415809 45335106353 3872987756539344582480784405887544193203153	18333569137550731794738026061948853805855659672853 127158921281	62	203.512
233071	562483215897123537271 3872987756539344582480784405887544193203153	21784906084284362907004756618646027088440604924226 43455270215463	64	210.405
233071	104415809 562483215897123537271 3872987756539344582480784405887544193203153	22746885927795739389844934291840294030754403116124 8686300594861173454567	72	237.043
233071	45335106353 562483215897123537271 3872987756539344582480784405887544193203153	98762103422114837428390888998319830091537376116346 091670074616368330136439	74	245.805
233071	104415809 45335106353 562483215897123537271 3872987756539344582480784405887544193203153	10312324927361789240988914242988764699750419180925 555285719002158463833175358564151	83	272.442

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-06-30	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 104415809 skipped known factor: 45335106353 skipped known factor: 562483215897123537271	-	-	1.561	-	-	12.502%
2022-03-27	Oliver Kruse	Threadripper-PC	30000000	10070832992220			3872987756539344582480784405887544193203153	43	141.474	4,464	0.003	8,929	23.321%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21	J Feitsma	Manual testing	?	?	45335106353	35.400	11	1.00322e-9	0.003	2.07468e-9

ECM factoring results:

Total ECM effort:	15.960 GHz-days
Estimated T-Level:	28.716

Digits	B1	Complete	FacMiss
20	11000	50.320	0.000%
25	50000	7.128	0.080%
30	250000	0.743	47.554%
35	1000000	0.061	94.109%
40	3000000	0.004	99.595%

ECM Summary

B1	B2	factor	curves	GHz-days
		562483215897123537271	1	0.00000e+0
11000	1100000		30	0.039
50000	5000000		274	1.634
250000	25000000		282	8.411
250000	34405799		7	0.235
250000	36250000		85	2.913
250000	37525425		14	0.487
250000	38500000		14	0.492
250000	235419030		8	0.904
250000	254268105		7	0.843

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-25	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-04	TJAOI	Manual testing	50000	5000000						43	0.257
2014-08-04	TJAOI	Manual testing			562483215897123537271	68.930		1		1	-
2015-01-02	TJAOI	Manual testing	50000	5000000						50	0.298
2015-07-24	TJAOI	Manual testing	50000	5000000						90	0.537
2016-05-13	TJAOI	Manual testing	50000	5000000						91	0.543
2017-08-25	TJAOI	Manual testing	250000	25000000						44	1.312
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	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-10	Ducho_YYZ	oracle	250000	25000000						3	0.089
2019-12-12	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2019-12-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-15	Ducho_YYZ	Dutch	250000	25000000						3	0.089
2019-12-15	Ducho_YYZ	oracleDE	250000	25000000						3	0.089
2019-12-17	Ducho_YYZ	oracleDE	250000	25000000						3	0.089
2019-12-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2019-12-24	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.089
2019-12-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-07	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
2020-01-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-02	kracker	O0	250000	25000000						3	0.089
2020-02-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-09	kracker	O0	250000	25000000						3	0.089
2020-02-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-20	MarkS	laptop64	250000	25000000						3	0.089
2020-02-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-26	kracker	O0	250000	25000000						3	0.089
2020-03-01	kracker	O0	250000	25000000						3	0.089
2020-03-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-12	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.089
2020-03-23	Hans Loeblich	tomservo	250000	25000000						3	0.089
2020-03-23	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-04-12	kracker	O0	250000	25000000						3	0.089
2020-04-29	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.089
2020-05-03	Greg Hogan	azure3	250000	25000000						3	0.089
2020-05-09	Greg Hogan	azure	250000	25000000						3	0.089
2020-05-28	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-06-15	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-06-25	nordi	sweet16	250000	25000000						3	0.089
2020-07-04	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-07-19	kracker	O0	250000	25000000						3	0.089
2020-07-30	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2020-09-06	MarkS	desktop-i7	250000	25000000						7	0.209
2020-10-20	nordi	sweet16	250000	25000000						7	0.209
2020-11-04	nordi	sweet16	250000	25000000						7	0.209
2020-12-19	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-01-24	seatsea	dt	250000	37525425						7	0.243
2021-03-07	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-04-25	fbaur	ubuntu	250000	25000000						7	0.209
2021-07-14	seatsea	Manual testing	250000	37525425						7	0.243
2021-12-11	Dylan Delgado	colab	250000	38500000						7	0.246
2021-12-12	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-12-13	Lisander Viaene	Gaming_Desktop	250000	36250000						7	0.240
2021-12-13	Lisander Viaene	Gaming_Desktop	250000	36250000						7	0.240
2022-02-26	Corey	tab	250000	25000000						7	0.209
2022-04-18	Dylan Delgado	colab	250000	38500000						7	0.246
2022-05-30	debrouxl	o9020	250000	36250000						7	0.240
2022-06-26	Wojciech Florek	Tribo	250000	36250000						7	0.240
2022-07-22	Corey	tab	250000	25000000						7	0.209
2022-08-23	debrouxl	z400	250000	36250000						7	0.240
2022-09-21	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-10-14	Nesowa	6700T	250000	254268105						7	0.843
2022-12-04	debrouxl	z400	250000	34405799						7	0.235
2023-01-09	Nesowa	309b3ECMtrial	250000	235419030						8	0.904
2023-07-23	debrouxl	o9020	250000	36250000						50	1.714

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