M18005129 Mersenne number exponent details

≡

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷³	106.2389	65.7534%	1000000	419364660	20.9880	6.9750%	127.2268	68.1421%
Target	2⁶⁹	6.6307	63.7681%	130000	3600000	0.2814	3.4537%	6.9121	65.0195%
Difference	+4	+99.6081	+1.9853%	+870000	+415764660	+20.7066	+3.5213%	+120.3147	+3.1227%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
18005129	32182634258902867702513	23	74.769	893707405787064 2³ × 3 × 11 × 739 × 1801 × 2543509	2022-02-22	1801	2543509	376.41	0.1237	0.2283
18005129	119041011416876864240988660229359273599929	42	136.451	3305752805683226825006048560645116 2² × 3 × 7² × 23 × 31 × 12511 × 21059 × 336199 × 757811 × 117467149	2022-02-22	757811	117467149	7.714e+9	6.2773	10.544

exponent	prime factors	composite factor	digits	bits*
18005129	32182634258902867702513 119041011416876864240988660229359273599929	38310533322392287749724362417779851331720376047529 00470949921577	64	211.219

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-05-04	ANONYMOUS	v4_computers	210000	4620000		-	MISSED FACTOR!	-	-	0.397	-	-	2.544%
2022-02-22	Sid & Andy	Magic_8_Ball	1000000	419364660			32182634258902867702513 119041011416876864240988660229359273599929	64	211.219	20.99	21.91	41.98	6.975%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-24	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.017	-	-
2001-08-26	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.017	-	-
2002-01-28	ANONYMOUS	v4_computers	2¹	2⁶⁶		-	-	0.820	-	-
2016-03-21	Mark Rose	Manual testing	2⁶⁶	2⁶⁷		-	-	0.830	-	-
2015-10-29	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	1.660	-	-
2017-09-05	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.320	-	-
2020-03-04	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	6.641	-	-
2021-09-11	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	13.28	-	-
2021-10-08	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	26.56	-	-
2021-12-08	Praxeis	GPU72_TF	2⁷²	2⁷³		-	-	53.12	-	-

ECM factoring results:

Total ECM effort:	2.775 GHz-days
Estimated T-Level:	0.577

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	2.775

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-10-16	mikr	S064	50000	5000000						3	2.775

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-10-31	ANONYMOUS	v4_computers	454A8AB4A62B1289	10.95
2006-10-24	ebravick	v4_computers	454A8AB4A62B1289	10.95

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-11-17

Naegi Makoto

1700

32182634258902867702513

119041011416876864240988660229359273599929

6AD17BF75B98BA88

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 = 419364660 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 210000, B2 = 4620000 (P-1 stage 2)

B1 = 210000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶¹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

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