M7 960 793 Mersenne number exponent details

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M7960793

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is 2 ^7960793 - 1

has 2396438 decimal digits

takes 1.822 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	F45CCC0F2D9D0E01	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	120.1305	68.0556%	3000000	8070112050	146.8224	11.0683%	266.9529	71.5913%
Target	2⁶⁷	3.7325	65.6716%	55000	6000000	0.1257	2.5648%	3.8582	66.5521%
Difference	+5	+116.3979	+2.3839%	+2945000	+8064112050	+146.6967	+8.5035%	+263.0946	+5.0392%

Known prime factors:
No known factors for M7960793

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-06-09	ANONYMOUS	v4_computers	35000	201250		-		-	-	0.015	-	-	0.683%
2012-07-03	Nesowa	Outback	100000	1950000		-		-	-	0.067	-	-	1.775%
2020-08-24	storm5510	7700_Kaby_Lake	290000	5872500	6	-		-	-	0.197	-	-	2.820%
2023-07-05	Tha	Z-170	3000000	8070112050		-		-	-	146.8	-	-	11.068%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-08-16	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.039	-	-
1999-01-10	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.077	-	-
1999-01-10	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.200	-	-
2013-10-02	Nesowa	Manual testing	2⁶³	2⁶⁴		-	-	0.247	-	-
2013-12-21	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	0.469	-	-
2015-06-03	VictordeHollander	Manual testing	2⁶⁵	2⁶⁶		-	-	0.939	-	-
2016-08-20	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	1.877	-	-
2018-07-24	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	3.755	-	-
2020-03-06	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	7.510	-	-
2020-09-26	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	15.02	-	-
2021-12-08	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	30.04	-	-
2023-08-10	riccardo uberti	GPU72_TF	2⁷¹	2⁷²		-	-	60.08	-	-

ECM factoring results:

Total ECM effort:	2.088 GHz-days
Estimated T-Level:	1.154

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		6	2.088

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2013-01-29	Florimond C.	ichthys2	50000	5000000						3	1.044
2018-11-07	Ondrej Vainlich	Intel_Core_i3_3.7CAD	50000	5000000						3	1.044

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-11-04	ANONYMOUS	v4_computers	F45CCC0F2D9D0E01	1.822
2002-06-23	ANONYMOUS	v4_computers	F45CCC0F2D9D0E01	1.822

PRP results:
No PRP results for M7960793

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 = 3000000, B2 = 8070112050 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 290000, B2 = 5872500 (P-1 stage 2)

B1 = 290000 (P-1 stage 1)

B1 = 100000, B2 = 1950000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 35000, B2 = 201250 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

this exponent TF target: 67

TF double-checked to: 67.9

ECM T-Level=1.15 ~= -13-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

JSON version of this page

Last modified: 2023-10-02T12:12:48+00:00

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