M259421 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	114.5394	73.1343%	30000000	10035812696910	5,417.9473	23.4542%	5,532.4866	79.4355%	6.3011%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2805%	0.0001	61.4262%	6.4262%
GPU72	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5484%	0.0001	63.4062%	4.3153%
Difference	+23	+114.5394	+14.0434%	+29995000	+10035812576910	+5,417.9472	+12.9058%	+5,532.4865	+16.0293%	+16.0293%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
259421	1455051606146299223	19	60.336	2804421396391 1867 × 1502100373	2007-08-17	1867	1502100373	0.7498	0.8109	1.5145

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-01-08T00:00:00	ANONYMOUS	v4_computers	95000	3800000		-		-	-	0.003	-	-	2.205%
2001-06-17T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.006	-	-	2.727%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.563%
2002-08-10T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.247%
2003-03-07T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.008	-	-	3.058%
2003-11-08T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	3.986%
2021-09-06T02:54:06	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 1455051606146299223	-	-	1.901	-	-	12.603%
2022-05-01T12:28:31	Oliver Kruse	Threadripper-PC	30000000	10035812696910		-	skipped known factor: 1455051606146299223	-	-	5,418	-	-	23.454%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-24T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.009	-	-
2001-01-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.019	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.037	-	-
2002-03-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.074	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.764 GHz-days
Estimated T-Level:	27.297

Digits	B1	Curves	Complete	FacMiss
20	11000	575 / 100	5.750	0.309%
25	50000	575 / 280	2.054	12.781%
30	250000	294 / 640	0.459	63.145%

New Calculation Method

Total ECM effort:	12.764 GHz-days
Estimated T-Level:	27.297

Digits	B1	Complete	FacMiss
20	11000	37.535	0.000%
25	50000	5.141	0.585%
30	250000	0.520	59.434%
35	1000000	0.042	95.918%
40	3000000	0.003	99.726%

ECM Summary

B1	B2	factor	curves	GHz-days
		1455051606146299223	1	0.00000e+0
50000	5000000		281	2.048
250000	25000000		294	10.72

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-09T16:11:00	George Woltman	D_P4Debug	50000	5000000						1	0.007
2007-08-17T17:45:00	Team_Bundu	bundu1			1455051606146299223	60.336		1		1	-
2014-09-19T12:42:00	TJAOI	Manual testing	50000	5000000						49	0.357
2015-01-30T11:26:00	TJAOI	Manual testing	50000	5000000						50	0.364
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000						90	0.656
2016-02-26T13:29:01	TJAOI	Manual testing	50000	5000000						91	0.663
2017-08-04T10:33:45	TJAOI	Manual testing	250000	25000000						44	1.604
2020-01-12T22:50:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-15T03:37:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-17T08:13:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-19T16:07:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-22T01:08:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-24T08:11:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-26T19:43:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-29T09:23:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-01T03:48:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-04T04:14:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-07T09:07:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-10T17:40:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-14T08:30:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-18T04:48:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-21T09:38:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-25T05:53:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-28T07:54:45	kracker	O0	250000	25000000						3	0.109
2020-03-03T16:07:33	Bommer	3770K	250000	25000000						3	0.109
2020-03-08T11:33:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-14T09:38:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-19T20:04:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-04-07T12:17:09	Oliver Kruse	IOS-1	250000	25000000						3	0.109
2020-04-18T14:22:09	Oliver Kruse	IOS-2	250000	25000000						3	0.109
2020-05-01T05:50:44	Greg	azure3	250000	25000000						3	0.109
2020-05-05T22:45:26	Greg Hogan	azure3	250000	25000000						3	0.109
2020-05-22T08:54:57	nordi	sweet16	250000	25000000						150	5.467
2020-07-27T10:56:06	TJAOI	Manual testing	250000	25000000						25	0.911

date	userid	compid	res64	spent (GHz-days)
2001-10-20T00:00:00	ANONYMOUS	v4_computers	05A50BC4EE7724__	0.002

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)

B1 = 30000000, B2 = 3000000000 (P-1 stage 2)

B1 = 30000000 (P-1 stage 1)

B1 = 262144, B2 = 26214400 (P-1 stage 2)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 100000, B2 = 10000000 (P-1 stage 2)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 95000, B2 = 3800000 (P-1 stage 2)

B1 = 262144 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

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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