M1 319 389 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	22.5210	68.6567%	500000	15000000	0.0593	4.8721%	22.5803	70.1838%
Target	2⁶⁰	0.1164	65.0000%	5500	320000	0.0010	0.9765%	0.1175	65.3418%
Difference	+7	+22.4046	+3.6567%	+494500	+14680000	+0.0582	+3.8956%	+22.4628	+4.8420%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1319389	92357231	8	26.461	35 5 × 7	-	5	7	6.827e-12	2.348e-7	4.677e-7
1319389	8410025614799	13	42.935	3187091 3187091	2008-07-15	1	3187091	8.200e-7	0.0080	0.0149
1319389	20366929758824205735553	23	74.109	7718318766801984 2⁶ × 3 × 11 × 17³ × 89 × 199 × 41999	2015-01-21	4913	41999	3,065.4	0.0003	0.0005
1319389	10853416182215113629608915791	29	93.132	4113046335165411273555 3 × 5 × 26801633 × 10230835151389	2018-06-08	26801633	10230835151389	2.256e+9	25,618	47,845

exponent	prime factors	composite factor	digits	bits*
1319389	92357231 8410025614799	776726678421908261569	21	69.396
1319389	92357231 20366929758824205735553	1881033236496501457509993333743	31	100.569
1319389	8410025614799 20366929758824205735553	171286400966523589636506980837248847	36	117.044
1319389	92357231 10853416182215113629608915791	1002391465479979341181039075368934721	37	119.593
1319389	8410025614799 10853416182215113629608915791	91277508100503076412521366395136594391009	41	136.067
1319389	92357231 8410025614799 20366929758824205735553	15819537701223842435008081262298365166862657	44	143.505
1319389	92357231 8410025614799 10853416182215113629608915791	8430137900742533844441887128591267724723722536079	49	162.528
1319389	20366929758824205735553 10853416182215113629608915791	22105076502646119600795865773179930061724799181742 3	51	167.241
1319389	92357231 20366929758824205735553 10853416182215113629608915791	20415636568275597792243315590585724052745615364567 845835713	59	193.702
1319389	8410025614799 20366929758824205735553 10853416182215113629608915791	18590425960434536074601493549878502280260492625677 70986934842977	64	210.176
1319389	92357231 8410025614799 20366929758824205735553 10853416182215113629608915791	17169602648162493086198033727311388570320450576035 1278195439274775516687	72	236.637

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-01-21	alpertron	Manual testing	500000	15000000	12		20366929758824205735553	23	74.109	0.023	0.084	0.046	4.872%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-15	J Feitsma	Manual testing	?	?	8410025614799	42.935	13	3.75921e-7	0.200	1.80136e-6

ECM factoring results:

Total ECM effort:	20.954 GHz-days
Estimated T-Level:	25.707

Digits	B1	Complete	FacMiss
20	11000	14.769	0.000%
25	50000	1.661	18.986%
30	250000	0.141	86.808%
35	1000000	0.010	99.018%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		94	3.635
50000	5000000	10853416182215113629608915791	160	6.188
250000	35000000		50	11.13

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-11-07	ATH	ec2-1xe	50000	5000000						3	0.116
2018-05-11	Chang Chia-Tche	exbpc13	50000	5000000						3	0.116
2018-06-08	TJAOI	Manual testing	50000	5000000	10853416182215113629608915791	93.132	160	2		160	6.188
2018-06-08	TJAOI	Manual testing	50000	5000000						88	3.403
2021-06-18	TJAOI	Manual testing	250000	35000000						50	11.13

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30

Oliver Kruse

GTX-1

92357231

8410025614799

20366929758824205735553

B9B7E098470AE1B2

2017-10-05

Oliver Kruse

Manual testing

92357231

8410025614799

20366929758824205735553

B9B7E098470AE1__

2017-10-22

nokno

pcr2-srv

2017-11-04

kkmrkkblmbrbk

c4.xlarge

92357231

8410025614799

20366929758824205735553

B9B7E098470AE1__

2018-06-10

Daniil Tsarkov

tsar1

92357231

8410025614799

20366929758824205735553

10853416182215113629608915791

23158CD3734E0C__

2018-06-15

Gabriel Lignelli

92357231

8410025614799

20366929758824205735553

10853416182215113629608915791

23158CD3734E0C__

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

B1 = 500000 (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