M715 679 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	1500000	4090044420	6.4944	45.3865%	6.4944	45.3865%
Target	2⁴⁴	0.0000	54.5455%	12000	450000	0.0010	16.5418%	0.0010	62.0645%
Difference	-44	0.0000	-54.5455%	+1488000	+4089594420	+6.4933	+28.8447%	+6.4933	-16.6780%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
715679	29229521249857	14	44.732	20420832 2⁵ × 3 × 281 × 757	-	281	757	3.581e-6	8.889e-6	1.656e-5
715679	4581421901651470029230927397752551	34	111.819	3200751944413256522289271725 3³ × 5² × 19 × 12491 × 542821 × 1146511 × 32104253	2022-12-29	1146511	32104253	2.525e+11	0.0820	0.0946

exponent	prime factors	composite factor	digits	bits*
715679	29229521249857 4581421901651470029230927397752551	133912768828881909981207353315635369078330135207	48	156.552

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	500000	15000000	12	-	skipped known factor: 29229521249857	-	-	0.037	-	-	29.464%
2022-12-29	USAFSS	6917th_Scty_Sq	1500000	4090044420			4581421901651470029230927397752551	34	111.819	6.494	0.029	12.99	45.386%

ECM factoring results:

Total ECM effort:	11.323 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	6.351
250000	25000000		44	4.972

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-10-16	TJAOI	Manual testing	50000	5000000						100	2.260
2016-06-17	TJAOI	Manual testing	50000	5000000						90	2.034
2017-03-17	TJAOI	Manual testing	50000	5000000						91	2.057
2018-12-28	TJAOI	Manual testing	250000	25000000						44	4.972

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-1

29229521249857

4141FEE71DDB79__

2017-09-28

Oliver Kruse

Manual testing

29229521249857

4141FEE71DDB79__

2017-11-09

kkmrkkblmbrbk

c4.large

29229521249857

4141FEE71DDB79__

2020-04-20

Oliver Kruse

AddPrpType5

29229521249857

E14078CAB3CFF5__

2022-12-31

LordJulius

WhiteBox

29229521249857

4581421901651470029230927397752551

E14078CAB3CFF54D

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 = 4090044420 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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=25.66 ~= 69-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