M100 459 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	295.7815	74.6269%	1000000000	40962536875260	7,194.2476	28.1078%	7,490.0291	81.7587%
Target	2⁴⁴	0.0000	61.3636%	1200	17000	0.0000	4.0816%	0.0000	62.9406%
Difference	+23	+295.7815	+13.2632%	+999998800	+40962536858260	+7,194.2476	+24.0262%	+7,490.0291	+18.8181%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
100459	4018361	7	21.938	20 2² × 5	-	4	5	2.793e-12	1.306e-8	2.623e-8
100459	504285258608296667039	21	68.773	2509905825303341 41 × 767111 × 79802291	2010-01-28	767111	79802291	930.93	0.0163	0.0262

exponent	prime factors	composite factor	digits	bits*
100459	4018361 504285258608296667039	2026400216066493603259503079	28	90.711

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-10-31	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 4018361 skipped known factor: 504285258608296667039	-	-	0.656	-	-	11.727%
2021-12-16	Seth_Tr	Manual testing	1000000000	40962536875260		-	skipped known factor: 4018361 skipped known factor: 504285258608296667039	-	-	7,194	-	-	28.108%

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	4018361	21.938	7	2.79306e-12	0.000	5.96108e-12
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		-	-	3.058	-	-
2022-04-13	LordJulius	Manual testing	2⁶²	2⁶³		-	-	9.77	-	-
2022-04-13	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	19.54	-	-
2022-10-13	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	37.19	-	-
2022-10-13	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	74.39	-	-
2022-10-13	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	148.8	-	-

ECM factoring results:

Total ECM effort:	12.733 GHz-days
Estimated T-Level:	30.766

Digits	B1	Complete	FacMiss
20	11000	82.951	0.000%
25	50000	13.036	0.000%
30	250000	1.560	21.008%
35	1000000	0.153	85.798%
40	3000000	0.013	98.726%

ECM Summary

B1	B2	factor	curves	GHz-days
		504285258608296667039	1	0.00000e+0
50000	5000000		280	0.650
250000	25000000		585	6.790
1000000	100000000		114	5.293

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
2010-01-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-21	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-22	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-01-27	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			504285258608296667039	68.773		1		1	-
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
2014-04-11	TJAOI	Manual testing	50000	5000000						10	0.023
2014-05-08	TJAOI	Manual testing	50000	5000000						231	0.536
2017-01-20	kkmrkkblmbrbk	kel1	250000	25000000						585	6.790
2019-01-24	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-01-29	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-10	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-02-22	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-01	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-03-06	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-11	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-18	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-24	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-03-31	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-06	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-12	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-23	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-29	Niels_Mache_Nextcloud	SuperDry3	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-JP	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
2019-06-15	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-27	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-07-22	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-07-30	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-06	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-13	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-20	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-28	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-11	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-19	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-04	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-10-11	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-18	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-26	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-11-02	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-11-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139

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