M2 787 461 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	10.6599	67.1642%	330000	261254070	1.6290	7.7930%	12.2889	69.7231%
Target	2⁶³	0.5726	65.0794%	15000	240000	0.0031	1.7484%	0.5756	65.6899%
Difference	+4	+10.0873	+2.0848%	+315000	+261014070	+1.6260	+6.0446%	+11.7133	+4.0332%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2787461	16724767	8	23.995	3 3	-	1	3	4.012e-13	1.242e-7	2.279e-7
2787461	1052685822958543	16	49.903	188825211 3² × 19 × 1104241	2014-05-15	19	1104241	3.384e-5	0.0067	0.0126
2787461	39429341306497203677807	23	75.062	7072626541949323 347 × 268823 × 75820183	2023-01-18	268823	75820183	4,054.1	0.4911	0.8641

exponent	prime factors	composite factor	digits	bits*
2787461	16724767 1052685822958543	17605925113184882334481	23	73.898
2787461	16724767 39429341306497203677807	659446546314641317662865145969	30	99.057
2787461	1052685822958543 39429341306497203677807	41506708601943281898227434057290155201	38	124.965
2787461	16724767 1052685822958543 39429341306497203677807	694190030304397136963171547616042497130563167	45	148.960

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-18	USAFSS	USAFSACS	330000	261254070			39429341306497203677807	23	75.062	1.629	0.431	3.258	7.793%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-05-15	TJAOI	Manual testing	?	?	1052685822958543	49.903	16	6.93577e-6	1.006	3.24138e-5

ECM factoring results:

Total ECM effort:	0.312 GHz-days
Estimated T-Level:	0.577

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.312

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-04-26	Ducho_YYZ	Dutch	50000	5000000						3	0.312

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-21

Oliver Kruse

GTX-3

16724767

1052685822958543

2F2E4B348E6258__

2017-12-06

kkmrkkblmbrbk

c4.xlarge

16724767

1052685822958543

2F2E4B348E6258__

2023-01-18

LordJulius

WhiteBox

16724767

1052685822958543

39429341306497203677807

2F2E4B348E625871

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 = 330000, B2 = 261254070 (P-1 stage 2)

B1 = 330000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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