M100 483 Mersenne number exponent details

is 2 ¹⁰⁰⁴⁸³ - 1

has 30249 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	295.7109	74.6269%	1000000000	20491009719180	3,600.3573	27.1178%	3,896.0682	81.5075%
Target	2⁴⁴	0.0000	61.3636%	1200	18000	0.0000	4.1517%	0.0000	62.9677%
Difference	+23	+295.7109	+13.2632%	+999998800	+20491009701180	+3,600.3573	+22.9661%	+3,896.0681	+18.5398%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
100483	1046630929	10	29.963	5208 2³ × 3 × 7 × 31	-	8	31	8.024e-10	2.982e-8	5.246e-8
100483	187032625289	12	37.444	930668 2² × 29 × 71 × 113	2008-07-26	71	113	2.630e-7	2.362e-7	4.656e-7

exponent	prime factors	composite factor	digits	bits*
100483	1046630929 187032625289	195754130359534963481	21	67.408

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: 1046630929 skipped known factor: 187032625289	-	-	0.656	-	-	11.728%
2021-12-16	Seth_Tr	Manual testing	1000000000	20491009719180		-	skipped known factor: 1046630929 skipped known factor: 187032625289	-	-	3,600	-	-	27.118%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-26	J Feitsma	Manual testing	?	?	187032625289	37.444	12	8.07735e-8	0.000	1.72318e-7
2018-10-25	J.R. Allen	Manual testing	2⁵⁶	2⁵⁷		-	-	0.096	-	-
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	1046630929	29.963	10	8.02361e-10	0.000	1.71302e-9
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	187032625289	37.444	12	2.62987e-7	0.000	5.61042e-7
2018-11-01	J.R. Allen	Manual testing	2⁵⁷	2⁵⁸		-	-	0.191	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.191	-	-
2018-11-01	J.R. Allen	Manual testing	2⁵⁸	2⁵⁹		-	-	0.382	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁸	2⁵⁹		-	-	0.382	-	-
2018-11-01	J.R. Allen	Manual testing	2⁵⁹	2⁶⁰		-	-	0.764	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁹	2⁶⁰		-	-	0.764	-	-
2022-04-13	LordJulius	Manual testing	2⁶⁰	2⁶¹		-	-	1.529	-	-
2022-04-13	LordJulius	Manual testing	2⁶¹	2⁶²		-	-	3.057	-	-
2022-10-13	LordJulius	Manual testing	2⁶²	2⁶³		-	-	9.77	-	-
2022-10-13	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	19.54	-	-
2022-10-13	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	37.18	-	-
2022-10-13	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	74.37	-	-
2022-10-13	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	148.7	-	-

ECM factoring results:

Total ECM effort:	12.689 GHz-days
Estimated T-Level:	30.763

Digits	B1	Complete	FacMiss
20	11000	82.823	0.000%
25	50000	13.006	0.000%
30	250000	1.555	21.112%
35	1000000	0.153	85.852%
40	3000000	0.013	98.733%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	0.652
250000	25000000	585	6.790
1000000	100000000	113	5.247

ECM Details

										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
2010-01-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-29	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-29	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-29	Rob_Dee	twopc	50000	5000000						1	0.002
2014-04-11	TJAOI	Manual testing	50000	5000000						40	0.093
2014-05-19	TJAOI	Manual testing	50000	5000000						231	0.536
2017-01-21	kkmrkkblmbrbk	kel1	250000	25000000						585	6.790
2019-01-24	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-01-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-02-10	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-07	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-11	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-03-18	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-24	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-31	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-06	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-04-12	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-04-29	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-07	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-14	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-04	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-17	Seth_Tr	Manual testing	1000000	100000000						50	2.321
2019-11-07	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139

Lucas-Lehmer results:
No L-L results for M100483

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

1046630929

187032625289

C40A7CCBC32CF5__

2017-09-21

Oliver Kruse

Manual testing

1046630929

187032625289

C40A7CCBC32CF5__

2017-10-13

kkmrkkblmbrbk

Manual testing

1046630929

187032625289

C40A7CCBC32CF5__

2020-04-17

Oliver Kruse

AddPrpType5

1046630929

187032625289

524F7E956D177B__

2022-04-15

LordJulius

WhiteBox

1046630929

187032625289

524F7E956D177B23

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 = 20491009719180 (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

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10⁴

10⁵

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10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

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10¹⁴

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

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