M1934483 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	2⁶⁸	30.8118	69.1176%	8000000	320000000	1.9665	9.7461%	32.7782	72.1275%	3.0098%
PrimeNet	2⁵⁸	0.0198	63.7931%	8000	140000	0.0012	2.4629%	0.0210	64.6849%	0.8918%
GPU72	2⁶²	0.3176	66.1290%	8000	90000	0.0010	1.1511%	0.3186	66.5189%	0.3899%
Difference	+6	+30.4942	+2.9886%	+7992000	+319910000	+1.9655	+8.5950%	+32.4597	+5.6085%	+5.6085%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1934483	612170508868279620251071	24	79.018	158225869358448645 3 × 5 × 13 × 811414714658711	2020-01-14	13	811414714658711	118,977	3,477,521	6,495,040

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-26T04:23:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.553%
2015-10-17T08:08:10	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.631%
2016-12-14T20:30:59	Jocelyn Larouche	low 4M	568903	568903		-		-	-	0.045	-	-	1.891%
2016-12-18T04:24:52	Jocelyn Larouche	low 4M	682683	682683		-		-	-	0.054	-	-	2.042%
2016-12-24T02:11:54	Jocelyn Larouche	low 4M	819219	819219		-		-	-	0.064	-	-	2.199%
2017-01-04T23:07:24	Jocelyn Larouche	low 4M	983062	983062		-		-	-	0.077	-	-	2.362%
2017-01-21T06:59:45	Jocelyn Larouche	low 4M	1179674	1179674		-		-	-	0.093	-	-	2.533%
2017-04-05T22:05:14	Jocelyn Larouche	low 4M	1415608	14156080	12	-		-	-	0.166	-	-	5.087%
2018-01-28T10:31:46	mikr	S068	8000000	320000000	12	-		-	-	1.966	-	-	9.746%
2018-03-31T12:12:59	Jocelyn Larouche	low 4M	1934483	193448300	12	-		-	-	0.973	-	-	8.160%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.060	-	-
2010-02-03T07:32:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.159	-	-
2011-08-27T22:21:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.825	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.507	-	-
2015-05-14T22:30:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.015	-	-
2015-05-14T22:30:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.931	-	-
2015-09-04T17:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.863	-	-
2018-01-22T18:13:16	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.726	-	-
2019-05-10T04:32:10	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.45	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.975 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	19.975 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.722	0.016%
25	50000	0.777	45.984%
30	250000	0.048	95.302%
35	1000000	0.002	99.779%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		69	4.796
50000	5000000	612170508868279620251071	1	0.070
50000	7500000		181	15.11

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-22T21:39:00	Matt	Dell	50000	5000000						3	0.209
2009-08-07T22:29:00	SubPrime	abd1	50000	5000000						3	0.209
2010-12-29T02:00:00	Lupo	yorick	50000	5000000						3	0.209
2012-11-19T20:17:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.209
2013-12-12T12:00:00	arnaud	srv-630	50000	5000000						3	0.209
2015-03-29T02:03:00	arnaud	CHAMOT22	50000	5000000						3	0.209
2015-10-07T00:06:14	Chris Smith	starcraft2	50000	5000000						3	0.209
2016-03-12T14:26:01	Bruce	Desk6	50000	5000000						3	0.209
2016-06-22T01:13:45	Bruce	test	50000	5000000						3	0.209
2016-09-24T02:38:37	StarionHost	Bluto	50000	5000000						3	0.209
2017-02-26T15:38:12	Bruce	Desk6	50000	5000000						3	0.209
2017-09-29T22:07:02	Bruce	Desk6	50000	5000000						3	0.209
2017-12-27T13:14:02	Bruce	Desk6	50000	5000000						3	0.209
2018-05-10T14:16:33	Bruce	Desk6	50000	5000000						3	0.209
2019-04-08T23:11:49	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-03T02:33:41	Nesowa	6700T	50000	5000000						3	0.209
2019-12-08T20:52:00	Nesowa	6700T	50000	5000000						3	0.209
2019-12-10T23:23:59	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2019-12-16T08:10:39	mnd9	50871b	50000	5000000						3	0.209
2019-12-21T20:24:14	mnd9	50871b	50000	5000000						3	0.209
2019-12-27T22:14:11	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-31T22:06:09	TheJudger	myECM	50000	5000000						3	0.209
2020-01-06T15:38:40	IanGlencross	glenx24	50000	5000000						3	0.209
2020-01-14T18:24:24	mnd9	kitchen	50000	5000000	612170508868279620251071	79.018	1	2	1473082934044255	1	0.070
2022-04-14T10:51:02	TJAOI	Manual testing	50000	7500000						181	15.11

date	userid	compid	res64	spent (GHz-days)
1999-02-07T00:00:00	ANONYMOUS	v4_computers	5E0BF71B858D8B45	0.105
2015-07-10T01:00:00	MadPoo	Manual testing	5E0BF71B858D8B45	0.105

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 = 8000000, B2 = 320000000 (P-1 stage 2)

B1 = 1934483, B2 = 193448300 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1415608, B2 = 14156080 (P-1 stage 2)

B1 = 1934483 (P-1 stage 1)

B1 = 1415608 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1179674 (P-1 stage 1)

B1 = 983062 (P-1 stage 1)

B1 = 819219 (P-1 stage 1)

B1 = 682683 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 568903 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (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