M599 309 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	49.5803	70.1493%	1750000	5399784390	6.5181	11.5515%	56.0984	73.5975%
Target	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4260%	0.0006	61.5573%
Difference	+23	+49.5803	+15.6038%	+1740000	+5399424390	+6.5175	-3.8746%	+56.0978	+12.0402%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
599309	4794473	7	22.193	4 2²	-	4	4	9.331e-13	8.813e-8	1.794e-7
599309	22773743	8	24.441	19 19	2008-07-21	1	19	3.745e-12	4.364e-8	4.484e-8
599309	425509391	9	28.665	355 5 × 71	2008-07-21	5	71	6.425e-11	1.894e-7	2.242e-7
599309	209671508816497505550522321001	30	97.404	174927715766405565034500 2² × 3² × 5³ × 11 × 13 × 3617 × 142217 × 528457483	2023-01-04	142217	528457483	6.120e+10	0.6373	1.1848

exponent	prime factors	composite factor	digits	bits*
599309	4794473 22773743	109188095922439	15	46.634
599309	4794473 425509391	2040093286395943	16	50.858
599309	22773743 425509391	9690441514720513	16	53.105
599309	4794473 22773743 425509391	46460560200406602124649	23	75.298
599309	4794473 209671508816497505550522321001	1005264387889959244929329403936627473	37	119.597
599309	22773743 209671508816497505550522321001	4775005056209148351548668854240276743	37	121.845
599309	425509391 209671508816497505550522321001	89217196026558984339821872541042020391	38	126.069
599309	4794473 22773743 209671508816497505550522321001	22893632816858244124494601007595942356841439	44	144.038
599309	4794473 425509391 209671508816497505550522321001	427749437485044333324698792707467358630098943	45	148.262
599309	22773743 425509391 209671508816497505550522321001	2031809493489475483696127991028447924585393513	46	150.510
599309	4794473 22773743 425509391 209671508816497505550522321001	97414557576789659907430258575301358063307053924536 49	52	172.702

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-04	USAFSS	USAFSACS	1750000	5399784390			209671508816497505550522321001	30	97.404	6.518	0.018	13.04	11.551%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-21	J Feitsma	Manual testing	?	?	22773743	24.441	8	1.53371e-14	0.019	3.17595e-14
2008-07-21	J Feitsma	Manual testing	?	?	425509391	28.665	9	4.58500e-12	0.019	9.49443e-12

ECM factoring results:

Total ECM effort:	18.135 GHz-days
Estimated T-Level:	26.502

Digits	B1	Complete	FacMiss
20	11000	24.808	0.000%
25	50000	3.135	4.351%
30	250000	0.300	74.050%
35	1000000	0.023	97.711%
40	3000000	0.001	99.851%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	4.760
250000	25000000	44	3.727
250000	35000000	100	9.65

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-18	Richard B. Woods	Puttputt	50000	5000000						5	0.085
2014-10-01	Richard B. Woods	Puttputt	50000	5000000						5	0.085
2015-08-21	TJAOI	Manual testing	50000	5000000						90	1.525
2016-03-24	TJAOI	Manual testing	50000	5000000						90	1.525
2016-12-16	TJAOI	Manual testing	50000	5000000						91	1.542
2018-10-19	TJAOI	Manual testing	250000	25000000						44	3.727
2022-08-02	TJAOI	Manual testing	250000	35000000						100	9.65

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-0

4794473

22773743

425509391

2678E0044F9AE9__

2017-10-13

Oliver Kruse

Threadripper

2678E0044F9AE9__

2017-12-16

ATH

ec2-1xf

4794473

22773743

425509391

2678E0044F9AE9__

2020-04-19

Oliver Kruse

AddPrpType5

4794473

22773743

425509391

B43155A8549BE6__

2023-01-04

Wentao Huang

Biolake

4794473

22773743

425509391

209671508816497505550522321001

B43155A8549BE67B

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 = 1750000, B2 = 5399784390 (P-1 stage 2)

B1 = 1750000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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