M1 942 307 Mersenne number exponent details

≡

M1942307

<<<

>>>

is 2 ^1942307 - 1

has 584693 decimal digits

takes 0.105 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	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	15.2983	68.6567%	500000	15000000	0.1015	5.1051%	15.3997	70.2568%
Target	2⁶²	0.3163	66.1290%	8000	450000	0.0025	1.1521%	0.3188	66.5193%
Difference	+5	+14.9820	+2.5277%	+492000	+14550000	+0.0990	+3.9529%	+15.0809	+3.7375%

Known prime factors (1 factor, 32.6 bits, 0.00167590% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1942307	6293074681	10	32.551	1620 2² × 3⁴ × 5	-	81	81	3.979e-10	6.372e-6	1.297e-5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-16	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 6293074681	-	-	0.101	-	-	5.105%

Trial Factoring results:
No TF results for M1942307

ECM factoring results:

Total ECM effort:	20.405 GHz-days
Estimated T-Level:	24.874

Digits	B1	Complete	FacMiss
20	11000	10.314	0.003%
25	50000	0.975	37.727%
30	250000	0.062	93.974%
35	1000000	0.003	99.708%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	32	2.225
50000	6750000	7	0.555
50000	7500000	211	17.62

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-02-21	Richard B. Woods	Puttputt	50000	5000000						1	0.070
2018-05-09	Ismo Laitela	6600K	50000	5000000						3	0.209
2020-11-04	nordi	sweet16	50000	5000000						7	0.487
2021-02-04	_p95holder_	TFL1_PRPt8pE_n	50000	5000000						7	0.487
2021-05-18	Dylan Delgado	laptop-i78750	50000	6750000						7	0.555
2021-08-28	Massimo Cappelli (ik5pwa)	maxlinux_8	50000	5000000						7	0.487
2021-12-02	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.487
2022-04-14	TJAOI	Manual testing	50000	7500000						211	17.62

Lucas-Lehmer results:
No L-L results for M1942307

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-05

Oliver Kruse

GTX-1

6293074681

0BC7E7DEA2D923__

2017-11-15

kkmrkkblmbrbk

c4.xlarge

6293074681

0BC7E7DEA2D923__

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

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

this exponent TF target: 62

TF double-checked to: 67.9

ECM T-Level=24.87 ~= 66-bit

2⁵⁰

2⁶⁰

2⁷⁰

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