M13 985 017 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	2⁷³	136.7781	67.1233%	1600000	1604717400	57.2198	8.5012%	193.9979	69.9182%
Target	2⁶⁹	8.5368	65.2174%	90000	12000000	0.4754	2.8526%	9.0121	66.2096%
Difference	+4	+128.2414	+1.9059%	+1510000	+1592717400	+56.7445	+5.6485%	+184.9858	+3.7086%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13985017	296602288790608258150931602921991698391	39	127.802	10604287745614047453461501080835 5 × 7 × 1511 × 4567 × 15413 × 230819 × 813577 × 15169127	2023-09-18	813577	15169127	9.632e+9	1.0266	1.0652

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-08	ANONYMOUS	v4_computers	175000	3806250		-		-	-	0.240	-	-	2.269%
2023-03-16	nordi	sweet16_30.8b14	1600000	1600000		-		-	-	1.029	-	-	2.179%
2023-09-18	nordi	sweet16_30.8b14	1600000	1604717400			296602288790608258150931602921991698391	39	127.802	57.22	12.41	114.4	8.501%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-01	lalera	v4_computers	2¹	2⁵⁶		-	-	0.001	-	-
2000-12-07	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.522	-	-
2014-07-15	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.534	-	-
2015-09-20	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	1.069	-	-
2017-12-22	-Anonymous-	Manual testing	2⁶⁷	2⁶⁸		-	-	2.137	-	-
2018-01-07	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	4.275	-	-
2021-08-08	SRBase	Manual testing	2⁶⁹	2⁷⁰		-	-	8.549	-	-
2021-09-04	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	17.10	-	-
2021-10-23	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	34.20	-	-
2023-09-14	Sid & Andy	Manual testing	2⁷²	2⁷³		-	-	68.40	-	-

ECM factoring results:

Total ECM effort:	0.675 GHz-days
Estimated T-Level:	0.192

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.675

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-11-02	Xolotl	thunder-gpu-17	50000	5000000						1	0.675

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2001-12-22	ANONYMOUS	v4_computers	8FD2909B5F580DC9	6.205
2005-05-12	ANONYMOUS	v4_computers	8FD2909B5F580DC9	6.205

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 = 1600000, B2 = 1604717400 (P-1 stage 2)

B1 = 1600000 (P-1 stage 1)

B1 = 175000, B2 = 3806250 (P-1 stage 2)

B1 = 175000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁶

this exponent TF target: 69

TF double-checked to: 67.9

ECM T-Level=0.19 ~= -16-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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