M28901 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown	500000000	10000000000	0.8128	50.1801%	0.8128	50.1801%	50.1801%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	4.0646%	0.0000	64.0242%	1.5242%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.7394%	0.0001	66.5021%	0.5930%
Difference	-44	-0.0001	-65.9091%	+499999500	+9999990000	+0.8128	+48.4407%	+0.8127	-16.3219%	-16.3219%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
28901	95893519	8	26.515	1659 3 × 7 × 79	-	7	79	4.204e-10	8.724e-9	1.138e-8
28901	3095473155663862608737	22	71.391	53553045840349168 2⁴ × 73 × 4943 × 9275786057	2009-04-04	4943	9275786057	32,116	0.4036	0.7539
28901	1063952634383863310946981121039721496889	40	129.645	18406848108782798362461179907956844 2² × 3³ × 277 × 612276363641 × 1004912873472779749	2018-01-07	612276363641	1004912873472779749	5.550e+12	43,730,084	81,674,754

exponent	prime factors	composite factor	digits	bits*
28901	95893519 3095473155663862608737	296835813866642566684311075503	30	97.906
28901	95893519 1063952634383863310946981121039721496889	102026162160389049701697242123063833116633762391	48	156.160
28901	3095473155663862608737 1063952634383863310946981121039721496889	32934368186330972156604727507319486792044337855196 70169719193	61	201.035
28901	95893519 3095473155663862608737 1063952634383863310946981121039721496889	31581924614289246187878464127129638457631527609597 2416293700658610167	69	227.550

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-12-28T07:28:39	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-	skipped known factor: 95893519 skipped known factor: 3095473155663862608737	-	-	0.813	-	-	42.857%

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.202 GHz-days
Estimated T-Level:	31.617

Digits	B1	Curves	Complete	FacMiss
20	11000	1274 / 100	12.740	0.000%
25	50000	1274 / 280	4.550	1.048%
30	250000	1119 / 640	1.748	17.381%
35	1000000	511 / 1580	0.323	72.360%
40	3000000	500 / 4700	0.106	89.907%

New Calculation Method

Total ECM effort:	19.202 GHz-days
Estimated T-Level:	31.617

Digits	B1	Complete	FacMiss
20	11000	157.238	0.000%
25	50000	31.901	0.000%
30	250000	5.497	0.410%
35	1000000	0.797	45.085%
40	3000000	0.098	90.623%
45	11000000	0.011	98.945%
50	44000000	0.001	99.899%

ECM Summary

B1	B2	factor	curves	GHz-days
		3095473155663862608737	1	0.00000e+0
50000	5000000		155	0.089
250000	25000000		608	1.747
1000000	100000000		11	0.126
3000000	300000000		238	8.206
3000000	300000000	1063952634383863310946981121039721496889	262	9.034

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-04T14:30:00	Matthias Wurtinger	WUR_E6600	50000	5000000						21	0.012
2009-04-04T14:30:00	Matthias Wurtinger	WUR_E6600			3095473155663862608737	71.391		1		1	-
2009-05-10T17:32:00	Matthias Wurtinger	WUR_E6600	250000	25000000						30	0.086
2010-04-18T22:14:00	James Hintz	10_122109	50000	5000000						3	0.002
2010-04-19T17:56:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-20T15:37:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-21T07:37:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-22T02:55:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-23T05:25:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-23T18:11:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-24T12:17:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-25T07:44:00	James Hintz	10_122109	50000	5000000						11	0.006
2010-04-25T11:49:00	James Hintz	14_091909	50000	5000000						32	0.018
2010-04-26T03:43:00	James Hintz	10_122109	50000	5000000						11	0.006
2011-03-19T15:10:00	James Hintz	17_051310	250000	25000000						11	0.032
2014-11-21T16:40:00	James Hintz	08_04_2014	250000	25000000						567	1.629
2014-11-21T17:12:00	James Hintz	08_04_2014	1000000	100000000						11	0.126
2018-01-07T11:13:40	nordi	nordiputer	3000000	300000000	1063952634383863310946981121039721496889	129.645	262	2		262	9.034
2018-01-12T20:45:27	nordi	nordiputer	3000000	300000000						238	8.206

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21T19:38:47

Oliver Kruse

PRP

95893519

3095473155663862608737

3B4A214781B241__

2017-09-21T21:28:58

Oliver Kruse

Manual testing

95893519

3095473155663862608737

3B4A214781B241__

2017-10-12T16:30:09

kkmrkkblmbrbk

Manual testing

95893519

3095473155663862608737

3B4A214781B241__

2018-01-09T16:49:33

AdolfNor

Manual testing

95893519

3095473155663862608737

1063952634383863310946981121039721496889

FE9247C494E8C0__

2018-01-10T20:49:27

Oliver Kruse

GTX-5

95893519

3095473155663862608737

1063952634383863310946981121039721496889

FE9247C494E8C0__

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 = 500000000, B2 = 10000000000 (P-1 stage 2)

B1 = 500000000 (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