M266 401 Mersenne number exponent details

is 2 ²⁶⁶⁴⁰¹ - 1

has 80195 decimal digits

takes 0.002 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	5550000	25042991610	13.5710	48.7837%	13.5710	48.7837%
Target	2⁴⁴	0.0000	56.8182%	5000	120000	0.0001	10.5906%	0.0001	61.3914%
Difference	-44	0.0000	-56.8182%	+5545000	+25042871610	+13.5709	+38.1931%	+13.5709	-12.6077%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
266401	4583695607	10	32.094	8603 7 × 1229	-	7	1229	3.999e-9	7.290e-7	1.235e-6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-01-03	Lisander Viaene	Manual testing	100000	100000		-	skipped known factor: 4583695607	-	-	0.001	-	-	11.599%
2022-03-19	Lisander Viaene	Desktop	5550000	5550000		-	skipped known factor: 4583695607	-	-	0.055	-	-	23.652%
2022-03-20	Lisander Viaene	Manual testing	5550000	25042991610		-	skipped known factor: 4583695607	-	-	13.57	-	-	48.784%

Trial Factoring results:
No TF results for M266401

ECM factoring results:

Total ECM effort:	12.798 GHz-days
Estimated T-Level:	27.579

Digits	B1	Complete	FacMiss
20	11000	37.299	0.000%
25	50000	5.092	0.614%
30	250000	0.516	59.704%
35	1000000	0.041	95.950%
40	3000000	0.003	99.728%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	2.050
250000	25000000	221	8.062
250000	34250000	7	0.287
250000	35391974	7	0.291
250000	36428191	7	0.294
250000	36605619	7	0.295
250000	36750000	36	1.519

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-28	TJAOI	Manual testing	50000	5000000						50	0.365
2015-02-27	TJAOI	Manual testing	50000	5000000						50	0.365
2015-10-02	TJAOI	Manual testing	50000	5000000						90	0.657
2016-06-17	TJAOI	Manual testing	50000	5000000						91	0.664
2017-11-10	TJAOI	Manual testing	250000	25000000						44	1.605
2020-01-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-30	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.109
2020-02-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-04	kracker	O0	250000	25000000						3	0.109
2020-02-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-14	kracker	O0	250000	25000000						3	0.109
2020-08-17	MarkS	desktop-i7	250000	25000000						7	0.255
2020-08-19	Poao	pc-Home	250000	25000000						7	0.255
2020-08-21	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2020-08-23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2020-08-24	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2020-08-26	Poao	Manual testing	250000	25000000						7	0.255
2020-08-27	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.255
2020-09-13	Dylan Delgado	desktoplinux	250000	25000000						7	0.255
2020-09-15	LaurV	3tits	250000	25000000						7	0.255
2020-09-18	TJAOI	Manual testing	250000	25000000						79	2.882
2022-02-13	Corey	tab	250000	25000000						7	0.255
2022-04-03	carlos56	opensuseTW	250000	35391974						7	0.291
2022-05-23	debrouxl	dl380g9-1	250000	36750000						7	0.295
2022-06-20	debrouxl	z400	250000	36428191						7	0.294
2022-07-14	MarkS	desktop-i7	250000	34250000						7	0.287
2022-08-16	debrouxl	dl380g9-1	250000	36750000						7	0.295
2022-09-17	debrouxl	dl380g9-1	250000	36750000						7	0.295
2022-10-13	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2022-11-05	debrouxl	dl380g9-1	250000	36605619						7	0.295
2022-12-13	SmithMichae2	smithBee	250000	36750000						7	0.295
2023-01-25	debrouxl	dl380g9-1	250000	36750000						8	0.338

Lucas-Lehmer results:
No L-L results for M266401

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22

Oliver Kruse

Ollaptop

4583695607

CDC549343847BE__

2017-09-22

Oliver Kruse

Manual testing

4583695607

CDC549343847BE__

2017-10-12

Oliver Kruse

GTX-1

CDC549343847BE__

2017-11-06

kkmrkkblmbrbk

c4.xlarge

4583695607

CDC549343847BE__

2020-04-17

Oliver Kruse

AddPrpType5

4583695607

A48CFC7012A61F__

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 = 5550000, B2 = 25042991610 (P-1 stage 2)

B1 = 5550000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.7

ECM T-Level=27.58 ~= 75-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-01-25T01:01:14+00:00

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