M2 797 507 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	10.6216	67.1642%	288000	243838980	1.5183	7.5727%	12.1399	69.6507%
Target	2⁶³	0.5705	65.0794%	15000	260000	0.0032	1.7894%	0.5737	65.7042%
Difference	+4	+10.0511	+2.0848%	+273000	+243578980	+1.5151	+5.7833%	+11.5662	+3.9465%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2797507	5421568567	10	32.336	969 3 × 17 × 19	-	17	19	2.474e-10	1.916e-6	3.875e-6
2797507	79450429703081	14	46.175	14200220 2² × 5 × 19 × 37369	2014-02-05	19	37369	5.498e-6	0.0002	0.0004
2797507	10166946477553271906928641	26	83.072	1817144063902837760 2¹⁰ × 5 × 4799 × 124303 × 594959	2023-01-21	124303	594959	830,591	0.0168	0.0283

exponent	prime factors	composite factor	digits	bits*
2797507	5421568567 79450429703081	430745952312867092654927	24	78.511
2797507	5421568567 10166946477553271906928641	55120797445074190038608469557627447	35	115.408
2797507	79450429703081 10166946477553271906928641	807768266409833219743760565432284842921	39	129.247
2797507	5421568567 79450429703081 10166946477553271906928641	4379371042587633723875176075921822271371026064207	49	161.583

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-21	USAFSS	6917th_Scty_Sq	288000	243838980			10166946477553271906928641	26	83.072	1.518	0.432	3.037	7.573%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-02-05	TJAOI	Manual testing	?	?	79450429703081	46.175	14	2.14695e-6	1.006	9.99425e-6

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
2018-04-28	ATH	ec2-ECMCF	50000	5000000						3	0.313

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-21

Oliver Kruse

GTX-3

5421568567

79450429703081

03D264816853F0__

2017-12-06

kkmrkkblmbrbk

c4.xlarge

5421568567

79450429703081

03D264816853F0__

2023-01-22

LordJulius

WhiteBox

5421568567

79450429703081

10166946477553271906928641

03D264816853F048

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 = 288000, B2 = 243838980 (P-1 stage 2)

B1 = 288000 (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