M523 937 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	10000000	830000000	1.1562	41.6700%	1.1562	41.6700%
Target	2⁴⁴	0.0000	56.8182%	9000	1500000	0.0019	14.6042%	0.0019	63.1245%
Difference	-44	0.0000	-56.8182%	+9991000	+828500000	+1.1543	+27.0658%	+1.1543	-21.4546%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
523937	1398911791	10	30.382	1335 3 × 5 × 89	-	5	89	3.519e-10	2.025e-7	2.152e-7

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17	alpertron	Manual testing	1500000	50000000	12	-	skipped known factor: 1398911791	-	-	0.088	-	-	32.852%
2021-06-07	happy5214	Manual testing	10000000	830000000		-	skipped known factor: 1398911791	-	-	1.156	-	-	41.670%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-06-07	happy5214	Manual testing	5000000	365000000	2	7			-	-	0.485

ECM factoring results:

Total ECM effort:	16.118 GHz-days
Estimated T-Level:	26.435

Digits	B1	Complete	FacMiss
20	11000	23.899	0.000%
25	50000	3.028	4.840%
30	250000	0.287	75.049%
35	1000000	0.022	97.832%
40	3000000	0.001	99.860%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	4.525
250000	25000000		144	11.59

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-04-19	Richard B. Woods	Puttputt	50000	5000000						1	0.016
2015-06-26	TJAOI	Manual testing	50000	5000000						99	1.594
2016-03-24	TJAOI	Manual testing	50000	5000000						90	1.449
2016-10-21	TJAOI	Manual testing	50000	5000000						91	1.465
2018-10-19	TJAOI	Manual testing	250000	25000000						44	3.542
2020-11-20	TJAOI	Manual testing	250000	25000000						100	8.051

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-3

1398911791

6B54D58029A45E__

2017-09-28

Oliver Kruse

Manual testing

1398911791

6B54D58029A45E__

2017-11-07

kkmrkkblmbrbk

c4.xlarge

1398911791

6B54D58029A45E__

2020-04-19

Oliver Kruse

AddPrpType5

1398911791

66C93E427E7E7C__

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 = 10000000, B2 = 830000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 1500000, B2 = 50000000 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

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