M242797 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	122.3817	73.1343%	30000000	10120247026890	4,486.3114	23.3797%	4,608.6931	79.4154%	6.2811%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	65000	0.0000	13.9563%	0.0000	61.2803%	6.2803%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1145%	0.0001	63.2287%	4.1377%
Difference	+23	+122.3817	+14.0434%	+29995500	+10120246916890	+4,486.3113	+13.2652%	+4,608.6930	+16.1868%	+16.1868%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
242797	17027003478947432473	20	63.884	35064278963388 2² × 3³ × 2309 × 140610329	2007-08-27	2309	140610329	8.9678	0.0623	0.1164

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2000-11-05T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.234%
2001-06-09T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.700%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.544%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.223%
2003-03-07T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	3.029%
2003-10-31T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.952%
2021-07-22T03:09:09	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 17027003478947432473	-	-	1.561	-	-	12.540%
2022-04-09T21:19:53	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 17027003478947432473	-	-	4,486	-	-	23.380%

	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	-	-
2000-04-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.010	-	-
2022-03-07T05:44:58	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.010	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.040	-	-
2002-04-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.079	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.023 GHz-days
Estimated T-Level:	27.375

Digits	B1	Curves	Complete	FacMiss
20	11000	585 / 100	5.850	0.280%
25	50000	585 / 280	2.089	12.331%
30	250000	304 / 640	0.475	62.165%

New Calculation Method

Total ECM effort:	11.023 GHz-days
Estimated T-Level:	27.375

Digits	B1	Complete	FacMiss
20	11000	38.953	0.000%
25	50000	5.350	0.475%
30	250000	0.545	58.008%
35	1000000	0.044	95.719%
40	3000000	0.003	99.712%

ECM Summary

B1	B2	factor	curves	GHz-days
		17027003478947432473	1	0.00000e+0
50000	5000000		281	1.678
250000	25000000		248	7.406
250000	33000000		7	0.231
250000	36178189		7	0.240
250000	36250000		14	0.481
250000	38500000		28	0.986

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-05T08:42:00	George Woltman	D_P4Debug	50000	5000000						1	0.006
2007-08-16T18:50:00	ANONYMOUS	Bayes	50000	5000000						1	0.006
2007-08-27T17:32:00	Chad Davis	Bayes			17027003478947432473	63.884		1		1	-
2014-08-15T10:40:00	TJAOI	Manual testing	50000	5000000						48	0.287
2015-01-16T11:43:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-09-18T09:51:00	TJAOI	Manual testing	50000	5000000						90	0.538
2016-06-10T14:40:24	TJAOI	Manual testing	50000	5000000						91	0.544
2017-07-14T09:28:52	TJAOI	Manual testing	250000	25000000						44	1.314
2019-12-17T07:09:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-18T16:31:23	Ducho_YYZ	oracleKO2	250000	25000000						3	0.090
2019-12-19T21:23:58	Ducho_YYZ	oracleKO	250000	25000000						3	0.090
2019-12-20T22:45:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22T06:55:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-23T20:40:29	Ducho_YYZ	oracleDE	250000	25000000						3	0.090
2019-12-25T02:02:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-27T06:00:57	Chang Chia-Tche	exbpc13	250000	25000000						3	0.090
2019-12-28T23:17:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-30T21:21:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-01T21:26:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-04T00:21:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06T02:20:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08T08:41:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-10T11:04:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12T16:47:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-14T21:29:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-17T01:56:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19T09:32:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-21T23:57:43	Chang Chia-Tche	exbpc13	250000	25000000						3	0.090
2020-01-24T01:50:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26T12:01:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-29T01:43:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-31T19:54:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-03T20:32:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-06T23:33:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-10T08:17:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-13T22:08:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-17T20:09:19	kracker	O0	250000	25000000						3	0.090
2020-02-20T21:25:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-24T18:15:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-27T20:34:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-02T23:34:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-07T17:44:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-13T16:50:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-19T06:22:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-04-02T22:14:37	Hans Loeblich	tomservo	250000	25000000						3	0.090
2020-04-17T01:19:06	Oliver Kruse	Melissa	250000	25000000						3	0.090
2020-04-30T23:52:49	Oliver Kruse	Melissa	250000	25000000						3	0.090
2020-05-05T08:53:29	Chang Chia-Tche	exbpc13	250000	25000000						3	0.090
2020-05-16T18:07:48	kracker	O0	250000	25000000						3	0.090
2020-06-04T00:39:05	kracker	O0	250000	25000000						3	0.090
2020-06-19T11:31:37	nordi	sweet16	250000	25000000						3	0.090
2020-06-28T09:23:58	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-07-12T08:32:41	MarkS	desktop-i7	250000	25000000						3	0.090
2020-07-24T01:39:11	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.090
2020-08-07T21:37:07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-09-19T23:25:03	MarkS	desktop-i7	250000	25000000						7	0.209
2020-10-25T22:26:06	nordi	sweet16	250000	25000000						7	0.209
2020-11-09T02:32:43	nordi	sweet16	250000	25000000						7	0.209
2021-01-07T03:23:04	codest	wks	250000	25000000						7	0.209
2021-02-12T20:33:23	mnd9	consult	250000	25000000						7	0.209
2021-03-10T02:39:44	Ducho_YYZ	Dutch	250000	36250000						7	0.240
2021-05-02T05:17:51	nordi	sweet16	250000	38500000						7	0.247
2021-07-03T04:53:15	Daniil Tsarkov	9900KF	250000	25000000						7	0.209
2021-08-07T10:26:23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-09-14T20:27:53	Team_Inspector	SpudBoy4	250000	38500000						7	0.247
2021-10-20T05:16:53	Dylan Delgado	colab	250000	38500000						7	0.247
2021-12-26T23:27:08	MarkS	desktop-i7	250000	25000000						7	0.209
2022-03-01T01:27:47	Dylan Delgado	colab	250000	38500000						7	0.247
2022-05-06T23:50:20	debrouxl	z400	250000	36178189						7	0.240
2022-06-02T08:06:41	MarkS	desktop-i7	250000	33000000						7	0.231
2022-06-30T10:02:23	debrouxl	o9020	250000	36250000						7	0.240
2022-07-26T22:19:01	Corey	tab	250000	25000000						7	0.209

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