M104 550 161 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
Actual	2⁷⁶	146.3794	64.4737%	769000	769000	4.4397	1.5460%	150.8191	65.0229%
Target	2⁷⁶	146.3794	64.4737%	650000	120000000	41.2937	3.9249%	187.6732	65.8681%
Difference	-	-	-	+119000	-119231000	-36.8541	-2.3789%	-36.8541	-0.8451%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁶

146.3794

64.4737%

769000

4.4397

1.5460%

150.8191

65.0229%

Target

2⁷⁶

146.3794

64.4737%

650000

120000000

41.2937

3.9249%

187.6732

65.8681%

Difference

+119000

-119231000

-36.8541

-2.3789%

-36.8541

-0.8451%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
104550161	8137165307118197342446340801	28	92.717	38915125664503746400 2⁵ × 5² × 79 × 6793 × 131447 × 689587	2020-10-29	131447	689587	11,295,929	0.9344	1.5445

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

104550161

8137165307118197342446340801

92.717

38915125664503746400
2⁵ × 5² × 79 × 6793 × 131447 × 689587

2020-10-29

131447

689587

11,295,929

0.9344

1.5445

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-10-29	GAN	PG-HP	769000	769000			8137165307118197342446340801	28	92.717	4.440	832.6	8.879	1.546%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-18	James Hintz	chris3	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-28	sasaki3	value	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-06	Mr-Plonk	Linux-i7	2⁶⁵	2⁶⁶		-	-	0.071	-	-
2013-09-06	ANONYMOUS		2⁶⁶	2⁶⁷		-	-	0.143	-	-
2013-09-12	g0b	Manual testing	2⁶⁷	2⁶⁸		-	-	0.286	-	-
2013-09-16	g0b	Manual testing	2⁶⁸	2⁶⁹		-	-	0.572	-	-
2014-04-27	Andreas_Truetsch	Manual testing	2⁶⁹	2⁷⁰		-	-	1.144	-	-
2014-05-01	Andreas_Truetsch	Manual testing	2⁷⁰	2⁷¹		-	-	2.287	-	-
2014-12-25	shauge	Manual testing	2⁷¹	2⁷²		-	-	4.574	-	-
2019-12-02	Ryan Propper	Manual testing	2⁷²	2⁷³		-	-	9.149	-	-
2020-03-31	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	18.30	-	-
2020-10-13	ktony	GPU72_TF	2⁷⁴	2⁷⁵		-	-	36.60	-	-
2020-10-13	ktony	GPU72_TF	2⁷⁵	2⁷⁶		-	-	73.19	-	-

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 = 769000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 76

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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