M85629839 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	2⁷⁶	178.7227	64.4737%	675000	12487500	6.1580	3.3830%	184.8807	65.6755%	1.2018%
PrimeNet	2⁷¹	5.5831	61.9718%	360000	17000000	5.9153	5.3859%	11.4983	64.0200%	2.0482%
GPU72	2⁷⁵	89.3603	64.0000%	550000	19000000	7.2631	3.9477%	96.6234	65.4212%	1.4212%
Difference	+1	+89.3624	+0.4737%	+125000	-6512500	-1.1051	-0.5648%	+88.2573	+0.2543%	+0.2543%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

178.7227

64.4737%

675000

12487500

6.1580

3.3830%

184.8807

65.6755%

1.2018%

PrimeNet

2⁷¹

5.5831

61.9718%

360000

17000000

5.9153

5.3859%

11.4983

64.0200%

2.0482%

GPU72

2⁷⁵

89.3603

64.0000%

550000

19000000

7.2631

3.9477%

96.6234

65.4212%

1.4212%

Difference

+89.3624

+0.4737%

+125000

-6512500

-1.1051

-0.5648%

+88.2573

+0.2543%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
85629839	816642824855310862859977	24	79.434	4768447742003292 2² × 3 × 31 × 331 × 3691 × 10492091	2018-01-24	3691	10492091	1,656.3	2.6860	4.9862

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

85629839

816642824855310862859977

79.434

4768447742003292
2² × 3 × 31 × 331 × 3691 × 10492091

2018-01-24

3691

10492091

1,656.3

2.6860

4.9862

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-01-24T05:43:11	Jwb52z	Clay	675000	12487500			816642824855310862859977	24	79.434	6.158	551.6	12.32	3.383%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-27T13:20:00	Architects Cubed	a3_bu2	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2012-08-23T15:47:00	america64	Manual testing	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-02-23T12:08:00	timc995	dl580_g5	2⁶⁶	2⁶⁷		-	-	0.175	-	-
2013-02-25T16:22:00	Todd Walke	BigBlackIvy	2⁶⁷	2⁶⁸		-	-	0.349	-	-
2013-03-01T21:36:00	Sergey Nosov	Manual testing	2⁶⁸	2⁶⁹		-	-	0.698	-	-
2014-02-11T08:44:00	Derp Derpson	Compute	2⁶⁹	2⁷⁰		-	-	1.396	-	-
2014-03-03T05:14:00	Andreas_Truetsch	Manual testing	2⁷⁰	2⁷¹		-	-	2.793	-	-
2017-03-04T07:55:08	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	5.585	-	-
2017-03-04T07:55:08	Judge Hale	Manual testing	2⁷²	2⁷³		-	-	11.17	-	-
2017-04-16T15:41:45	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.34	-	-
2017-09-28T08:16:10	Brian Beuning	Manual testing	2⁷⁴	2⁷⁵		-	-	44.68	-	-
2017-10-01T15:11:29	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.36	-	-

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 = 675000, B2 = 12487500 (P-1 stage 2)

B1 = 675000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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