M3032921 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	2⁷⁰	78.7856	68.5714%	3332920	3056097660	20.9374	10.7572%	99.7231	71.9523%	3.3808%
PrimeNet	2⁶⁰	0.0506	63.3333%	12000	220000	0.0029	2.5202%	0.0535	64.2574%	0.9241%
GPU72	2⁶⁴	1.1736	65.6250%	13000	220000	0.0030	1.4294%	1.1766	66.1163%	0.4913%
Difference	+6	+77.6121	+2.9464%	+3319920	+3055877660	+20.9344	+9.3278%	+98.5465	+5.8359%	+5.8359%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3032921	145580209	9	27.117	24 2³ × 3	-	8	8	5.926e-12	9.873e-7	2.009e-6
3032921	417347053471967	15	48.568	68802823 68802823	2014-04-09	1	68802823	1.713e-5	0.4626	0.8640
3032921	1453617012065551	16	50.369	239639775 3 × 5² × 1531 × 2087	2014-05-27	1531	2087	5.347e-5	0.0002	0.0004
3032921	56138600091300583607	20	65.606	9254873452243 127 × 72873019309	2018-06-19	127	72873019309	4.7643	489.98	915.15

exponent	prime factors	composite factor	digits	bits*
3032921	145580209 417347053471967	60757471269983131501103	23	75.685
3032921	145580209 1453617012065551	211617868422458436280159	24	77.486
3032921	145580209 56138600091300583607	8172669134258958043329033863	28	92.723
3032921	417347053471967 1453617012065551	606662776862282413004744908817	30	98.937
3032921	417347053471967 56138600091300583607	23429279334145396174852422714244969	35	114.174
3032921	1453617012065551 56138600091300583607	81604024126259222911248366840022457	35	115.974
3032921	145580209 417347053471967 1453617012065551	88318093848131437902255081817264802753	38	126.054
3032921	145580209 417347053471967 56138600091300583607	3410839382184267611522816242896129864218521	43	141.291
3032921	145580209 1453617012065551 56138600091300583607	11879930887541860059597125695479138854753513	44	143.091
3032921	417347053471967 1453617012065551 56138600091300583607	34057199020549593050877773111499452835154099962919	50	164.542
3032921	145580209 417347053471967 1453617012065551 56138600091300583607	49580541513662050512117338430266706471273764198086 40270071	58	191.660

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-10-31T00:03:59	Jocelyn Larouche	Manual testing	1209876	1209876		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.149	-	-	2.191%
2021-10-31T11:48:32	Jocelyn Larouche	Manual testing	1513168	1513168		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.187	-	-	2.386%
2021-11-01T11:01:34	Jocelyn Larouche	Manual testing	1816460	1816460		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.224	-	-	2.553%
2021-11-01T19:25:37	Jocelyn Larouche	Manual testing	2119752	2119752		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.262	-	-	2.698%
2021-11-02T11:00:09	Jocelyn Larouche	Manual testing	2423044	2423044		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.299	-	-	2.828%
2021-11-03T11:59:25	Jocelyn Larouche	Manual testing	2726336	2726336		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.336	-	-	2.945%
2021-11-06T10:23:41	Jocelyn Larouche	Manual testing	3332920	3332920		-	skipped known factor: 145580209 skipped known factor: 1453617012065551	-	-	0.411	-	-	3.150%
2021-11-07T02:34:39	Jocelyn Larouche	Manual testing	3332920	121316840	12	-	skipped known factor: 145580209 skipped known factor: 417347053471967 skipped known factor: 1453617012065551	-	-	1.205	-	-	7.090%
2022-03-21T19:25:04	Jocelyn Larouche	Manual testing	3332920	1005919530		-	skipped known factor: 145580209 skipped known factor: 417347053471967 skipped known factor: 1453617012065551	-	-	7.152	-	-	9.488%
2022-07-24T21:08:08	Jocelyn Larouche	Manual testing	3332920	3056097660		-	skipped known factor: 145580209 skipped known factor: 417347053471967 skipped known factor: 1453617012065551	-	-	20.94	-	-	10.757%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-04-09T10:32:00	TJAOI	Manual testing	?	?	417347053471967	48.568	15	4.77146e-6	0.575	1.06197e-5
2014-05-27T11:25:00	TJAOI	Manual testing	?	?	1453617012065551	50.369	16	4.01413e-6	0.574	8.93299e-6
2021-02-08T01:45:31	Jocelyn Larouche	Manual testing	2⁶⁶	2⁶⁷		-	-	4.928	-	-
2021-02-08T07:55:23	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	9.86	-	-
2021-09-05T14:17:22	Jocelyn Larouche	Manual testing	2⁶⁸	2⁶⁹		-	-	19.71	-	-
2021-10-29T11:29:15	Jocelyn Larouche	Manual testing	2⁶⁹	2⁷⁰		-	-	39.42	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.349 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.349 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	56138600091300583607	3	0.349

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-06-19T12:35:02	ATH	ec2-ECMCF	50000	5000000	56138600091300583607	65.606	3	2		3	0.349

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-27T23:25:33

Oliver Kruse

GTX-0

145580209

417347053471967

1453617012065551

F309B94B102DE3__

2017-12-10T18:29:43

kkmrkkblmbrbk

c4.xlarge

145580209

417347053471967

1453617012065551

F309B94B102DE3__

2018-06-19T13:14:29

ATH

ec2-PRPCF

145580209

417347053471967

1453617012065551

56138600091300583607

F309B94B102DE3__

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 = 3332920, B2 = 3056097660 (P-1 stage 2)

B1 = 3332920, B2 = 1005919530 (P-1 stage 2)

B1 = 3332920, B2 = 121316840 (P-1 stage 2)

B1 = 3332920 (P-1 stage 1)

B1 = 2726336 (P-1 stage 1)

B1 = 2423044 (P-1 stage 1)

B1 = 2119752 (P-1 stage 1)

B1 = 1816460 (P-1 stage 1)

B1 = 1513168 (P-1 stage 1)

B1 = 1209876 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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