M17 504 141 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	2⁷⁵	437.1485	66.6667%	1000000	30000000	2.1303	3.8401%	439.2788	67.9467%
Target	2⁶⁹	6.8205	63.7681%	120000	17000000	0.8584	3.3524%	7.6789	64.9827%
Difference	+6	+430.3280	+2.8986%	+880000	+13000000	+1.2718	+0.4877%	+431.5998	+2.9639%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17504141	426315489966437174530195419710289226952407399	45	148.257	12177561011603973440633145599955154239 3 × 191 × 307 × 593 × 839 × 3593 × 3989 × 4051 × 6691 × 152429 × 2349679	-	152429	2349679	7.842e+9	0.2247	0.2561

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-01-23	Christoph Zenger	Manual testing	1000000	30000000	12	-	skipped known factor: 426315489966437174530195419710289226952407399	-	-	2.130	-	-	3.840%
2020-03-14	mat2022	Manual testing	152429	152429		-		-	-	0.126	-	-	0.565%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-02-11	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-03-17	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.004	-	-
2001-09-22	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.417	-	-
2020-03-09	Christoph Zenger	Manual testing	2⁶⁵	2⁷⁵		-	-	436.7	-	-

ECM factoring results:

Total ECM effort:	34.637 GHz-days
Estimated T-Level:	20.712

Digits	B1	Complete	FacMiss
20	11000	1.538	21.471%
25	50000	0.142	86.732%
30	250000	0.009	99.106%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		40	34.64

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-06-04	GdS	Manual testing	50000	5000000						40	34.64

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-02-19

M91088807

426315489966437174530195419710289226952407399

BDA827E6F5BE5A__

2019-03-30

ANONYMOUS

426315489966437174530195419710289226952407399

BDA827E6F5BE5A7C

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 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 152429 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁶⁵

2⁵⁹

2⁵⁸

this exponent TF target: 69

TF double-checked to: 67.9

ECM T-Level=20.71 ~= 52-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

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