M594 241 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	1750000	5399784390	6.5181	45.7898%	6.5181	45.7898%
Target	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4104%	0.0006	61.5502%
Difference	-44	0.0000	-54.5455%	+1740000	+5399424390	+6.5175	+30.3794%	+6.5175	-15.7604%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
594241	11861050361	11	33.466	9980 2² × 5 × 499	-	5	499	2.234e-9	7.031e-7	1.120e-6
594241	4179022302942228563068362682561	31	101.721	3516268906842702340522080 2⁵ × 3 × 5 × 7 × 41 × 6011 × 1349287 × 3147080719	2023-01-01	1349287	3147080719	3.142e+11	3.8057	7.0556

exponent	prime factors	composite factor	digits	bits*
594241	11861050361 4179022302942228563068362682561	49567593994939971460126514463669077454521	41	135.187

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-01	USAFSS	USAFSACS	1750000	5399784390			4179022302942228563068362682561	31	101.721	6.518	0.018	13.04	45.790%

ECM factoring results:

Total ECM effort:	18.123 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	4.757
250000	25000000	44	3.724
250000	35000000	100	9.64

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-13	Richard B. Woods	Puttputt	50000	5000000						10	0.169
2015-08-14	TJAOI	Manual testing	50000	5000000						90	1.524
2016-04-15	TJAOI	Manual testing	50000	5000000						90	1.524
2016-12-16	TJAOI	Manual testing	50000	5000000						91	1.541
2018-10-05	TJAOI	Manual testing	250000	25000000						44	3.724
2022-03-24	TJAOI	Manual testing	250000	35000000						100	9.64

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-3

11861050361

FAAFBDB2634CE4__

2017-09-28

Oliver Kruse

Manual testing

11861050361

FAAFBDB2634CE4__

2017-11-08

kkmrkkblmbrbk

c4.xlarge

11861050361

FAAFBDB2634CE4__

2020-04-19

Oliver Kruse

AddPrpType5

11861050361

CE5179994227A6__

2023-01-02

LordJulius

WhiteBox

11861050361

4179022302942228563068362682561

CE5179994227A6A7

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

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.7

ECM T-Level=26.5 ~= 71-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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