M22369007 Mersenne number exponent details

Residue

Status

L-L

6076A772D44D7742

double-checked

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	2⁷⁵	342.0764	66.6667%	350000	7000000	0.7531	2.5246%	342.8295	67.5082%	0.8415%
PrimeNet	2⁶⁵	0.3262	61.5385%	100000	3200000	0.2843	5.1521%	0.6105	63.5200%	1.9816%
GPU72	2⁶⁹	5.3372	63.7681%	170000	5000000	0.4580	3.9760%	5.7951	65.2087%	1.4406%
Difference	+6	+336.7392	+2.8986%	+180000	+2000000	+0.2952	-1.4514%	+337.0344	+2.2995%	+2.2995%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

342.0764

66.6667%

350000

7000000

0.7531

2.5246%

342.8295

67.5082%

0.8415%

PrimeNet

2⁶⁵

0.3262

61.5385%

100000

3200000

0.2843

5.1521%

0.6105

63.5200%

1.9816%

GPU72

2⁶⁹

5.3372

63.7681%

170000

5000000

0.4580

3.9760%

5.7951

65.2087%

1.4406%

Difference

+336.7392

+2.8986%

+180000

+2000000

+0.2952

-1.4514%

+337.0344

+2.2995%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-01-18T00:00:00	ANONYMOUS	v4_computers	325000	325000		-		-	-	0.344	-	-	0.907%
2018-04-30T20:56:59	Tha	Manual testing	350000	7000000	6	-		-	-	0.753	-	-	2.525%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁷		-	-	1.328	-	-
2017-04-24T20:35:30	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.336	-	-
2017-05-15T00:50:37	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	2.673	-	-
2017-05-15T00:50:37	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	5.345	-	-
2021-09-06T18:19:32	TheJudger	Manual testing	2⁷⁰	2⁷¹		-	-	10.69	-	-
2021-09-06T18:19:32	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	21.38	-	-
2021-09-06T18:19:32	TheJudger	Manual testing	2⁷²	2⁷³		-	-	42.76	-	-
2021-10-02T17:39:38	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	85.52	-	-
2021-11-21T17:07:55	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	171.0	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-07-26T00:00:00	ANONYMOUS	v4_computers	6076A772D44D7742	16.31
2009-08-09T19:17:00	TheJudger	v4_computers	6076A772D44D7742	16.31
2009-08-16T00:00:00	TheJudger	v4_computers	6076A772D44D7742	16.31

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 = 350000, B2 = 7000000 (P-1 stage 2)

B1 = 350000 (P-1 stage 1)

B1 = 325000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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