M596599 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	49.8055	70.1493%	1500000	50000000	0.0913	6.2177%	49.8968	72.0053%	1.8560%
PrimeNet	2⁴⁰	0.0000	50.0000%	5500	200000	0.0004	20.1039%	0.0004	60.0520%	10.0520%
GPU72	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4177%	0.0006	61.5535%	7.0080%
Difference	+23	+49.8055	+15.6038%	+1490000	+49640000	+0.0906	-9.2000%	+49.8961	+10.4518%	+10.4518%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
596599	60708720502358397213049	23	75.684	50878999547735076 2² × 3² × 5657 × 249833046313	2009-03-18	5657	249833046313	22,087	299.89	560.11

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-12-31T00:00:00	Alex Kruppa	v4_computers	2000	40000		-		-	-	8.96776e-5	-	-	0.109%
2001-06-23T00:00:00	Alex Kruppa	v4_computers	100000	4000000		-		-	-	0.007	-	-	2.565%
2002-05-05T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	1.202%
2002-07-06T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.814%
2002-09-22T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.566%
2003-06-01T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.446%
unknown			1500000	50000000		-		-	-	0.091	-	-	6.218%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-04-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.004	-	-
2022-03-07T08:28:22	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.004	-	-
2001-04-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.016	-	-
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.032	-	-
2003-11-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.064	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.112 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	424 / 100	4.240	1.410%
25	50000	424 / 280	1.514	21.937%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	18.112 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	24.769	0.000%
25	50000	3.131	4.366%
30	250000	0.300	74.067%
35	1000000	0.023	97.712%
40	3000000	0.001	99.851%

ECM Summary

B1	B2	factor	curves	GHz-days
		60708720502358397213049	1	0.00000e+0
50000	5000000		280	4.741
250000	25000000		44	3.725
250000	35000000		100	9.64

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-22T08:35:00	Chad Davis	Bayes	50000	5000000						1	0.017
2007-10-09T08:55:00	Chad Davis	Bayes	50000	5000000						1	0.017
2008-01-17T07:57:00	Team_Bundu	bundu4	50000	5000000						3	0.051
2008-09-07T21:32:00	Sturle Sunde	v17	50000	5000000						3	0.051
2008-11-13T19:33:00	Sturle Sunde	v22	50000	5000000						3	0.051
2009-01-25T18:58:00	Sturle Sunde	v22	50000	5000000						3	0.051
2009-03-18T03:05:00	James Heinrich	WHS			60708720502358397213049	75.684		1		1	-
2015-08-21T09:48:00	TJAOI	Manual testing	50000	5000000						85	1.439
2016-03-24T20:23:07	TJAOI	Manual testing	50000	5000000						90	1.524
2016-12-16T18:18:19	TJAOI	Manual testing	50000	5000000						91	1.541
2018-07-27T12:39:54	TJAOI	Manual testing	250000	25000000						44	3.725
2022-03-31T09:31:19	TJAOI	Manual testing	250000	35000000						100	9.64

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27T12:06:00

Oliver Kruse

GTX-1

60708720502358397213049

038124DF579C53__

2017-09-28T09:43:48

Oliver Kruse

Manual testing

60708720502358397213049

038124DF579C53__

2017-11-08T07:03:29

kkmrkkblmbrbk

c4.xlarge

60708720502358397213049

038124DF579C53__

2020-04-19T12:50:18

Oliver Kruse

AddPrpType5

60708720502358397213049

429187DDE84E53__

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 = 1500000, B2 = 50000000 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 100000, B2 = 4000000 (P-1 stage 2)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 40000 (P-1 stage 2)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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