M100 799 Mersenne number exponent details

is 2 ¹⁰⁰⁷⁹⁹ - 1

has 30344 decimal digits

takes 0.000 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	2⁶⁷	294.7839	74.6269%	1000000000	6734439121410	1,185.3149	25.4933%	1,480.0987	81.0953%
Target	2⁴⁴	0.0000	61.3636%	1200	18000	0.0000	4.1547%	0.0000	62.9688%
Difference	+23	+294.7838	+13.2632%	+999998800	+6734439103410	+1,185.3149	+21.3387%	+1,480.0987	+18.1265%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
100799	201599	6	17.621	1 1	-	1	1	1.733e-13	3.222e-9	6.558e-9
100799	396984768636295898763113	24	78.393	1969190014961933644 2² × 647 × 659 × 9341 × 123607427	2011-01-03	9341	123607427	915,439	0.0217	0.0405
100799	164507906581692627800966592569	30	97.054	816019536809356381516516 2² × 19 × 10737099168544162914691	2019-04-24	19	10737099168544162914691	5.759e+11	1.885e+12	3.521e+12

exponent	prime factors	composite factor	digits	bits*
100799	201599 396984768636295898763113	80031732372308616894744817687	29	96.015
100799	201599 164507906581692627800966592569	33164629458962652072047064095317831	35	114.675
100799	396984768636295898763113 164507906581692627800966592569	65307133233174627166913416008625998557771001317107 297	53	175.448
100799	201599 396984768636295898763113 164507906581692627800966592569	13165852752674771662222577753922992683248076094527 513967903	59	193.069

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-10-31	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 201599 skipped known factor: 396984768636295898763113	-	-	0.656	-	-	11.730%
2021-12-17	Seth_Tr	Manual testing	1000000000	6734439121410		-	skipped known factor: 201599 skipped known factor: 396984768636295898763113	-	-	1,185	-	-	25.493%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2018-10-25	J.R. Allen	Manual testing	2⁵²	2⁵⁷		-	-	0.185	-	-
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	201599	17.621	6	1.73263e-13	0.000	3.69781e-13
2018-11-01	J.R. Allen	Manual testing	2⁵⁷	2⁵⁸		-	-	0.190	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.190	-	-
2018-11-01	J.R. Allen	Manual testing	2⁵⁸	2⁵⁹		-	-	0.381	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁸	2⁵⁹		-	-	0.381	-	-
2018-11-01	J.R. Allen	Manual testing	2⁵⁹	2⁶⁰		-	-	0.762	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁹	2⁶⁰		-	-	0.762	-	-
2022-04-13	LordJulius	Manual testing	2⁶⁰	2⁶¹		-	-	1.524	-	-
2022-04-13	LordJulius	Manual testing	2⁶¹	2⁶²		-	-	3.047	-	-
2022-10-25	LordJulius	Manual testing	2⁶²	2⁶³		-	-	9.74	-	-
2022-10-25	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	19.48	-	-
2022-10-25	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	37.07	-	-
2022-10-25	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	74.14	-	-
2022-10-25	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	148.3	-	-

ECM factoring results:

Total ECM effort:	12.641 GHz-days
Estimated T-Level:	30.759

Digits	B1	Complete	FacMiss
20	11000	82.618	0.000%
25	50000	12.969	0.000%
30	250000	1.550	21.225%
35	1000000	0.152	85.908%
40	3000000	0.013	98.739%

ECM Summary

B1	B2	factor	curves	GHz-days
		396984768636295898763113	1	0.00000e+0
50000	5000000		280	0.650
250000	25000000		585	6.791
1000000	100000000		111	5.154
1000000	100000000	164507906581692627800966592569	1	0.046

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-01-15	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-19	James Hintz	NEW_OMFG	50000	5000000						11	0.026
2011-01-03	Rob_Dee	twopc			396984768636295898763113	78.393		1		1	-
2014-04-11	TJAOI	Manual testing	50000	5000000						37	0.086
2014-06-26	TJAOI	Manual testing	50000	5000000						231	0.536
2017-02-05	kkmrkkblmbrbk	kel1	250000	25000000						585	6.791
2019-01-25	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-01-31	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-24	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-02	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-12	storm5510	3570_Ivy_Bridge	1000000	100000000						3	0.139
2019-03-19	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-03-26	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-07	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000	164507906581692627800966592569	97.054	1	2		1	0.046
2019-04-26	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-05-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-12	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-07-14	Niels_Mache_Nextcloud		1000000	100000000						3	0.139
2019-07-27	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-03	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-08-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-08-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-25	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-09	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-16	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-23	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-10-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-10-30	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-11-07	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139

Lucas-Lehmer results:
No L-L results for M100799

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

PRP

201599

396984768636295898763113

625CBC5F7EF7FD__

2017-09-21

Oliver Kruse

Manual testing

201599

396984768636295898763113

625CBC5F7EF7FD__

2017-10-13

kkmrkkblmbrbk

Manual testing

201599

396984768636295898763113

625CBC5F7EF7FD__

2019-04-24

ATH

ec2-PRPCF

201599

396984768636295898763113

164507906581692627800966592569

5190F4B10774F965

2019-04-25

marssystems

SYSTEM01

201599

396984768636295898763113

164507906581692627800966592569

5190F4B10774F965

2022-04-15

LordJulius

WhiteBox

201599

396984768636295898763113

164507906581692627800966592569

5190F4B10774F965

2022-05-12

Jorge Coveiro

Manual testing

201599

5190F4B10774F965

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 = 1000000000, B2 = 6734439121410 (P-1 stage 2)

B1 = 1000000000 (P-1 stage 1)

B1 = 100000000, B2 = 2000000000 (P-1 stage 2)

B1 = 100000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

10²¹

10²²

10²³

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁷

this exponent TF target: 44

TF double-checked to: 67.7

ECM T-Level=30.76 ~= 86-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-03-23T17:39:31+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