M2 828 867 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	10.5038	67.1642%	360000	287380170	1.7916	8.0007%	12.2954	69.7913%
Target	2⁶³	0.5642	65.0794%	16000	260000	0.0033	1.8264%	0.5675	65.7172%
Difference	+4	+9.9396	+2.0848%	+344000	+287120170	+1.7883	+6.1743%	+11.7280	+4.0741%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2828867	27858682217	11	34.697	4924 2² × 1231	-	4	1231	8.623e-10	7.935e-6	1.408e-5
2828867	932242324340955819030871	24	79.625	164773091902333305 3 × 5 × 283 × 215563 × 180067103	2023-01-30	215563	180067103	62,812	1.1215	2.0521

exponent	prime factors	composite factor	digits	bits*
2828867	27858682217 932242324340955819030871	25971042663052132120417996101721007	35	114.322

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-28	Lisander Viaene	Desktop	72000	281496600		-	skipped known factor: 27858682217	-	-	1.725	-	-	5.991%
2023-01-30	USAFSS	6917th_Scty_Sq	360000	287380170			932242324340955819030871	24	79.625	1.792	0.437	3.583	8.001%

ECM factoring results:

Total ECM effort:	0.313 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	0.313

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-05-04	ATH	ec2-ECMCF	50000	5000000						3	0.313

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-22

Oliver Kruse

GTX-0

27858682217

570709EDB0DF68__

2017-12-07

kkmrkkblmbrbk

c4.xlarge

27858682217

570709EDB0DF68__

2023-01-31

LordJulius

WhiteBox

27858682217

932242324340955819030871

570709EDB0DF684C

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 = 360000, B2 = 287380170 (P-1 stage 2)

B1 = 72000, B2 = 281496600 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 72000 (P-1 stage 1)

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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