M235661 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	126.0875	73.1343%	30000000	10120247026890	4,486.3114	23.3414%	4,612.3989	79.4051%	6.2708%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	65000	0.0000	13.7671%	0.0000	61.1952%	6.1952%
GPU72	2⁴⁴	0.0000	59.0909%	4500	100000	0.0001	9.8727%	0.0001	63.1298%	4.0389%
Difference	+23	+126.0875	+14.0434%	+29995500	+10120246926890	+4,486.3113	+13.4686%	+4,612.3989	+16.2754%	+16.2754%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
235661	7252727087092649262439	22	72.619	15388051241174079 3 × 13 × 625997 × 630299213	2007-11-09	625997	630299213	4,672.2	0.2842	0.5218
235661	89994769607873753595433	23	76.252	190941160412358756 2² × 3² × 17 × 311995360150913	2015-08-07	17	311995360150913	100,869	138,301	258,307
235661	1016904324944054413739489	25	79.750	2157557518944701104 2⁴ × 7 × 11 × 17 × 29 × 613 × 5794877783	2015-08-07	613	5794877783	796,615	2.5687	4.7977

exponent	prime factors	composite factor	digits	bits*
235661	7252727087092649262439 89994769607873753595433	652707503231688290205497795111314291848841087	45	148.871
235661	7252727087092649262439 1016904324944054413739489	7375329542503408641807392663209789203738753671	46	152.369
235661	89994769607873753595433 1016904324944054413739489	91516070436590563939088003163492094468362153737	47	156.003
235661	7252727087092649262439 89994769607873753595433 1016904324944054413739489	66374108295973919543689466708738437707646389821809 9239483074577584543	69	228.622

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2000-10-07T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.224%
2001-06-09T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.688%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.536%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.212%
2003-02-24T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	3.016%
2003-10-31T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.936%
2021-07-07T12:16:22	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 7252727087092649262439	-	-	1.561	-	-	12.512%
2022-03-31T11:10:22	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 7252727087092649262439 skipped known factor: 1016904324944054413739489	-	-	4,486	-	-	23.341%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.010	-	-
2022-03-07T05:44:39	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.010	-	-
2001-02-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.041	-	-
2002-04-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.081	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.711 GHz-days
Estimated T-Level:	27.594

Digits	B1	Curves	Complete	FacMiss
20	11000	636 / 100	6.360	0.167%
25	50000	606 / 280	2.164	11.439%
30	250000	332 / 640	0.519	59.502%

New Calculation Method

Total ECM effort:	11.711 GHz-days
Estimated T-Level:	27.594

Digits	B1	Complete	FacMiss
20	11000	41.245	0.000%
25	50000	5.699	0.335%
30	250000	0.583	55.845%
35	1000000	0.047	95.410%
40	3000000	0.003	99.690%

ECM Summary

B1	B2	factor	curves	GHz-days
		7252727087092649262439	1	0.00000e+0
11000	1100000		30	0.039
50000	5000000		234	1.396
50000	5000000	89994769607873753595433	38	0.227
50000	5000000	1016904324944054413739489	2	0.012
250000	25000000		304	9.070
250000	36250000		21	0.720
250000	38500000		7	0.246

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-05T16:40:00	George Woltman	D_P4Debug	50000	5000000						1	0.006
2007-08-16T05:04:00	Team_Bundu	bundu1	50000	5000000						1	0.006
2007-08-26T16:21:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-05T17:17:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-25T01:19:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-11-09T18:03:00	Chad Davis	Bayes			7252727087092649262439	72.619		1		1	-
2009-02-01T15:57:00	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-04T11:21:00	TJAOI	Manual testing	50000	5000000						38	0.227
2014-12-19T13:17:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-08-07T10:55:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-08-07T10:55:00	TJAOI	Manual testing	50000	5000000	89994769607873753595433	76.252	38	2		38	0.227
2015-08-07T10:55:00	TJAOI	Manual testing	50000	5000000	1016904324944054413739489	79.750	2	2		2	0.012
2016-04-08T13:16:10	TJAOI	Manual testing	50000	5000000						91	0.543
2017-05-05T18:37:21	TJAOI	Manual testing	250000	25000000						44	1.313
2019-12-10T02:09:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-11T02:07:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-13T01:10:59	Ducho_YYZ	Dutch	250000	25000000						3	0.090
2019-12-13T03:19:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-14T04:31:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-15T11:20:52	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-16T08:35:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-17T11:18:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-18T16:10:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-19T21:24:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-21T03:46:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22T12:16:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-23T20:51:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-25T09:57:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-27T09:37:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-29T07:10:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31T06:39:43	kracker	O0	250000	25000000						3	0.090
2020-01-02T05:41:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-04T08:36:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06T11:05:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08T16:37:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-10T19:44:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-13T01:50:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-15T07:34:32	MarkS	laptop64	250000	25000000						3	0.090
2020-01-17T11:00:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19T19:12:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-22T03:59:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24T10:53:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26T22:46:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-29T12:20:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-01T07:23:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-04T08:55:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-07T12:50:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-11T00:14:01	kracker	O0	250000	25000000						3	0.090
2020-02-14T12:47:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-04-21T09:35:28	kracker	O0	250000	25000000						3	0.090
2020-04-22T17:57:06	-Anonymous-	aws-nano	250000	25000000						3	0.090
2020-04-23T23:30:26	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-24T10:28:16	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-24T22:54:24	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-25T11:00:36	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-25T23:23:33	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-26T11:40:30	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-27T00:26:06	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-04-27T09:30:26	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-05-01T10:02:32	Greg	azure3	250000	25000000						3	0.090
2020-05-06T05:54:07	Greg Hogan	azure3	250000	25000000						3	0.090
2020-05-20T20:49:12	Oliver Kruse	IOS-3	250000	25000000						3	0.090
2020-06-06T20:08:48	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-06-21T04:04:13	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-06-29T14:40:09	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.090
2020-07-14T20:56:46	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.090
2020-07-25T04:41:40	Chang Chia-Tche	exbpc13	250000	25000000						3	0.090
2020-08-11T14:02:19	Ahmed Azhad	c5.large.az	250000	25000000						3	0.090
2020-09-24T14:18:34	nordi	sweet16	250000	25000000						7	0.209
2020-10-27T14:20:42	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2020-11-11T04:54:59	RIHATEC		250000	25000000						7	0.209
2021-01-10T04:26:10	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-02-02T05:14:00	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-03-17T06:00:17	Poao	justg-ZA	250000	25000000						7	0.209
2021-04-30T05:31:11	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-06-20T17:52:47	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-07-31T13:59:41	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-09-03T15:12:08	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-10-05T18:14:11	Dylan Delgado	colab	250000	38500000						7	0.246
2021-12-04T04:57:47	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.209
2022-02-12T09:14:31	Corey	tab	250000	25000000						7	0.209
2022-04-02T22:42:15	Corey	tab	250000	25000000						7	0.209
2022-05-22T05:20:40	Corey	tab	250000	25000000						7	0.209
2022-06-12T20:00:49	debrouxl	dl380g9-1	250000	36250000						7	0.240
2022-07-10T17:32:17	debrouxl	athlon2	250000	36250000						7	0.240
2022-08-08T14:01:12	debrouxl	o9020	250000	36250000						7	0.240

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