M614 717 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	45.8677%	6.5181	45.8677%
Target	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4728%	0.0006	61.5785%
Difference	-44	0.0000	-54.5455%	+1740000	+5399424390	+6.5175	+30.3949%	+6.5175	-15.7108%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
614717	147532081	9	27.136	120 2³ × 3 × 5	-	8	8	2.984e-11	1.763e-7	3.587e-7
614717	48734458786410595341481746342052303	35	115.230	39639751939844347351286646003 3 × 23 × 41 × 97 × 15241 × 34253 × 1650379 × 167660393	2023-01-05	1650379	167660393	3.038e+11	0.2356	0.3759

exponent	prime factors	composite factor	digits	bits*
614717	147532081 48734458786410595341481746342052303	7189896121167889651177707661357114072432543	43	142.367

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17	alpertron	Manual testing	1000000	30000000	12	-	skipped known factor: 147532081	-	-	0.057	-	-	31.507%
2023-01-05	USAFSS	USAFSACS	1750000	5399784390			48734458786410595341481746342052303	35	115.230	6.518	0.019	13.04	45.868%

ECM factoring results:

Total ECM effort:	18.765 GHz-days
Estimated T-Level:	26.530

Digits	B1	Complete	FacMiss
20	11000	24.808	0.000%
25	50000	3.182	4.149%
30	250000	0.306	73.637%
35	1000000	0.023	97.679%
40	3000000	0.002	99.849%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	4.769
250000	25000000	44	3.734
250000	40000000	100	10.26

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-12-21	Richard B. Woods	Puttputt	50000	5000000						1	0.017
2015-09-18	TJAOI	Manual testing	50000	5000000						99	1.680
2016-04-01	TJAOI	Manual testing	50000	5000000						90	1.528
2016-11-11	TJAOI	Manual testing	50000	5000000						91	1.545
2018-10-19	TJAOI	Manual testing	250000	25000000						44	3.734
2023-03-07	TJAOI	Manual testing	250000	40000000						100	10.26

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-2

147532081

58DA0FD9F4D9E7__

2017-09-28

Oliver Kruse

Manual testing

147532081

58DA0FD9F4D9E7__

2017-11-09

kkmrkkblmbrbk

c4.large

147532081

58DA0FD9F4D9E7__

2020-04-19

Oliver Kruse

AddPrpType5

147532081

1D5C8FF0A2DA82__

2023-01-06

LordJulius

WhiteBox

147532081

48734458786410595341481746342052303

1D5C8FF0A2DA8267

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 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1750000 (P-1 stage 1)

B1 = 1000000 (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=26.53 ~= 72-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

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