M250 013 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	118.8495	73.1343%	1000000000	203601956578020	90,259.9157	31.5133%	90,378.7652	81.6006%
Target	2⁴⁴	0.0000	59.0909%	4500	880000	0.0004	10.1603%	0.0004	63.2474%
Difference	+23	+118.8495	+14.0434%	+999995500	+203601955698020	+90,259.9153	+21.3530%	+90,378.7648	+18.3532%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
250013	30586418411057	14	44.798	61169656 2³ × 241 × 31727	-	241	31727	1.111e-5	1.592e-5	2.626e-5
250013	9715233473391668787399537100720711894960146023873	49	162.733	19429456615039355528311601998137520638847072 2⁵ × 3798437 × 23948299 × 228899863 × 667633643 × 43676449913	2022-02-02	667633643	43676449913	6.864e+11	24.497	36.161

exponent	prime factors	composite factor	digits	bits*
250013	30586418411057 9715233473391668787399537100720711894960146023873	29715419597826418512091457151124331728777678903385 0301049163761	63	207.531

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-05-26	ViliamF	3	50000000	7050000000		-	skipped known factor: 30586418411057	-	-	3.510	-	-	14.121%
2021-05-26	gLauss	Manual testing	15000000	1290000000		-	skipped known factor: 30586418411057	-	-	0.687	-	-	10.957%
2021-08-16	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 30586418411057	-	-	1.561	-	-	12.568%
2022-02-02	Anton Repko	Manual testing	1000000000	203601956578020			9715233473391668787399537100720711894960146023873	49	162.733	90,260	0.003	180,520	31.513%
2022-04-19	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 30586418411057	-	-	4,486	-	-	23.417%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-26	gLauss	Manual testing	7500000	592500000	2	7			-	-	0.347

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-11-20	LordJulius	Manual testing	2¹	2⁵⁹	30586418411057	44.798	14	1.11107e-5	0.003	2.28818e-5
2022-11-20	LordJulius	Manual testing	2⁵⁹	2⁶⁰		-	-	0.307	-	-
2022-11-20	LordJulius	Manual testing	2⁶⁰	2⁶¹		-	-	0.614	-	-
2022-11-20	LordJulius	Manual testing	2⁶¹	2⁶²		-	-	1.229	-	-
2022-11-20	LordJulius	Manual testing	2⁶²	2⁶³		-	-	3.926	-	-
2022-11-20	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	7.853	-	-
2022-11-20	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	14.94	-	-
2022-11-20	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	29.89	-	-
2022-11-20	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	59.78	-	-

ECM factoring results:

Total ECM effort:	15.233 GHz-days
Estimated T-Level:	28.177

Digits	B1	Complete	FacMiss
20	11000	43.253	0.000%
25	50000	6.089	0.227%
30	250000	0.635	52.969%
35	1000000	0.052	94.927%
40	3000000	0.003	99.652%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	1.680
250000	25000000	204	6.098
250000	38356542	14	0.493
250000	125000000	100	6.962

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-15	TJAOI	Manual testing	50000	5000000						50	0.299
2014-12-26	TJAOI	Manual testing	50000	5000000						50	0.299
2015-09-11	TJAOI	Manual testing	50000	5000000						90	0.538
2015-10-09	TJAOI	Manual testing	50000	5000000						2	0.012
2016-02-05	TJAOI	Manual testing	50000	5000000						89	0.532
2017-05-05	TJAOI	Manual testing	250000	25000000						44	1.315
2019-12-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-23	kracker	O0	250000	25000000						3	0.090
2020-01-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-24	TJAOI	Manual testing	250000	25000000						67	2.003
2020-12-01	codest	wks	250000	25000000						7	0.209
2021-01-20	seatsea	dt	250000	38356542						7	0.246
2021-02-15	mnd9	consult	250000	25000000						7	0.209
2021-04-17	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-07-14	seatsea	Manual testing	250000	38356542						7	0.246
2022-01-22	Oliver Kruse	11700K	250000	125000000						100	6.962

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 = 203601956578020 (P-1 stage 2)

B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)

B1 = 1000000000 (P-1 stage 1)

B1 = 50000000, B2 = 7050000000 (P-1 stage 2)

B1 = 30000000, B2 = 3000000000 (P-1 stage 2)

B1 = 15000000, B2 = 1290000000 (P-1 stage 2)

B1 = 50000000 (P-1 stage 1)

B1 = 30000000 (P-1 stage 1)

B1 = 15000000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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