M515 579 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	unknown	2000000	6733146420	7.7971	46.1335%	7.7971	46.1335%
Target	2⁴⁴	0.0000	56.8182%	9000	300000	0.0005	14.5753%	0.0005	63.1121%
Difference	-44	0.0000	-56.8182%	+1991000	+6732846420	+7.7966	+31.5582%	+7.7966	-16.9786%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
515579	27717527041	11	34.690	26880 2⁸ × 3 × 5 × 7	-	256	256	8.071e-9	5.413e-6	1.102e-5
515579	5408058572267759505044610337	28	92.127	5244645895457106966192 2⁴ × 3⁴ × 29 × 83 × 659 × 6269 × 406959691	2022-12-18	6269	406959691	2.456e+9	0.4690	0.8757

exponent	prime factors	composite factor	digits	bits*
515579	27717527041 5408058572267759505044610337	149898009716143476773558762927105622817	39	126.817

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-16	alpertron	Manual testing	1500000	50000000	12	-	skipped known factor: 27717527041	-	-	0.088	-	-	32.819%
2022-12-18	USAFSS	USAFSACS	2000000	6733146420			5408058572267759505044610337	28	92.127	7.797	0.015	15.59	46.133%

ECM factoring results:

Total ECM effort:	16.100 GHz-days
Estimated T-Level:	26.435

Digits	B1	Complete	FacMiss
20	11000	23.899	0.000%
25	50000	3.028	4.840%
30	250000	0.287	75.049%
35	1000000	0.022	97.832%
40	3000000	0.001	99.860%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	4.520
250000	25000000		144	11.58

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-04-10	Richard B. Woods	Puttputt	50000	5000000						1	0.016
2015-06-12	TJAOI	Manual testing	50000	5000000						99	1.592
2016-03-04	TJAOI	Manual testing	50000	5000000						90	1.448
2016-08-05	TJAOI	Manual testing	50000	5000000						91	1.464
2018-05-04	TJAOI	Manual testing	250000	25000000						44	3.539
2020-10-02	TJAOI	Manual testing	250000	25000000						100	8.042

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-3

27717527041

CF40B5F6CB5204__

2017-09-28

Oliver Kruse

Manual testing

27717527041

CF40B5F6CB5204__

2017-11-07

kkmrkkblmbrbk

c4.xlarge

27717527041

CF40B5F6CB5204__

2020-04-19

Oliver Kruse

AddPrpType5

27717527041

B85C152E293D8C__

2022-12-18

Kevin_9611

PRP-CF

27717527041

5408058572267759505044610337

B85C152E293D8CC8

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 = 2000000, B2 = 6733146420 (P-1 stage 2)

B1 = 1500000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1500000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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