M1000000007 Mersenne number exponent details

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	Prob over default TF
Actual	2⁸⁸	62,685.8841	65.9091%	5500000	280000000	1,406.8140	3.4949%	64,092.6981	67.1005%	1.1914%
PrimeNet	2⁸¹	489.7333	62.9630%	3600000	280000000	1,283.2621	5.9486%	1,772.9954	65.1661%	2.2032%
GPU72	2⁸⁵	7,835.7354	64.7059%	5500000	280000000	1,406.8140	4.4846%	9,242.5493	66.2887%	1.5828%
Difference	+3	+54,850.1487	+1.2032%	-	-	-	-0.9898%	+54,850.1487	+0.8118%	+0.8118%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁸⁸

62,685.8841

65.9091%

5500000

280000000

1,406.8140

3.4949%

64,092.6981

67.1005%

1.1914%

PrimeNet

2⁸¹

489.7333

62.9630%

3600000

280000000

1,283.2621

5.9486%

1,772.9954

65.1661%

2.2032%

GPU72

2⁸⁵

7,835.7354

64.7059%

5500000

280000000

1,406.8140

4.4846%

9,242.5493

66.2887%

1.5828%

Difference

+54,850.1487

+1.2032%

-0.9898%

+54,850.1487

+0.8118%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-06-12T13:27:50	kriesel	asr2/radeonvii3	5500000	280000000		-		-	-	1,407	-	-	3.495%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-06-12T13:27:50

kriesel

asr2/radeonvii3

5500000

280000000

1,407

-

-

3.495%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-10-23T15:27:27			2⁷³	2⁷⁴		-	-	1.913	-	-
2022-05-02T21:41:01	LordJulius	WhiteBox	2⁷³	2⁷⁴		-	-	1.913	-	-
2012-10-23T15:27:27			2⁷⁴	2⁷⁵		-	-	3.826	-	-
2022-05-02T21:41:01	LordJulius	WhiteBox	2⁷⁴	2⁷⁵		-	-	3.826	-	-
2013-01-13T03:38:54			2⁷⁵	2⁷⁶		-	-	7.652	-	-
2013-02-03T04:33:28			2⁷⁶	2⁷⁷		-	-	15.30	-	-
2019-07-12T12:16:19	FanMing617		2⁷⁷	2⁷⁸		-	-	30.61	-	-
2019-07-15T00:05:44	FanMing617		2⁷⁸	2⁷⁹		-	-	61.22	-	-
2019-07-18T11:55:16	FanMing617		2⁷⁹	2⁸⁰		-	-	122.4	-	-
2019-07-30T04:14:38	FanMing617		2⁸⁰	2⁸¹		-	-	244.9	-	-
2020-10-26T11:46:35	ramgeis	r4mg31s	2⁸¹	2⁸²		-	-	489.7	-	-
2020-10-26T11:46:35	ramgeis	r4mg31s	2⁸²	2⁸³		-	-	979.5	-	-
2020-10-26T11:46:35	ramgeis	r4mg31s	2⁸³	2⁸⁴		-	-	1,959	-	-
2020-10-28T12:35:18	ramgeis	r4mg31s	2⁸⁴	2⁸⁵		-	-	3,918	-	-
2021-06-04T13:50:30	Kriesel	asr3-rtx2080	2⁸⁵	2⁸⁶		-	-	7,836	-	-
2021-08-05T21:47:16	ramgeis	r4mg31s	2⁸⁶	2⁸⁷		-	-	15,672	-	-
2021-12-01T23:34:02	ramgeis	r4mg31s	2⁸⁷	2⁸⁸		-	-	31,343	-	-

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 = 5500000, B2 = 280000000 (P-1 stage 2)

B1 = 5500000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁵

10⁶

10⁷

10⁸

10⁹

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