M305477 Mersenne number exponent details

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M305477

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is 2 ³⁰⁵⁴⁷⁷ - 1

has 91958 decimal digits

takes 0.002 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	97.2706	71.6418%	50000	50000	0.0005	0.4004%	97.2711	71.7553%	0.1135%
PrimeNet	2⁴⁰	0.0000	52.5000%	3200	90000	0.0001	15.6054%	0.0001	59.9126%	7.4126%
GPU72	2⁴⁴	0.0000	56.8182%	5500	150000	0.0001	11.4219%	0.0001	61.7504%	4.9322%
Difference	+23	+97.2705	+14.8236%	+44500	-100000	+0.0004	-11.0215%	+97.2709	+10.0050%	+10.0050%

Known prime factors (4 factors, 239.8 bits, 0.07849832% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
305477	87977377	8	26.391	144 2⁴ × 3²	-	9	9	3.018e-11	9.280e-8	1.889e-7
305477	6898892569	10	32.684	11292 2² × 3 × 941	2008-07-21	4	941	2.705e-9	5.676e-7	9.869e-7
305477	136013686435728003033552383	27	86.814	222625085416787520883 13 × 17125006570522116991	2019-04-05	13	17125006570522116991	82,426,856	9.620e+9	1.797e+10
305477	18558593823607885142975692961	29	93.906	30376417575804209716240 2⁴ × 5 × 7 × 37 × 199 × 281 × 16369 × 1601641297	2021-09-08	16369	1601641297	6.965e+9	0.8999	1.6805

11 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
305477	87977377 6898892569	606946472425411513	18	59.074
305477	87977377 136013686435728003033552383	11966127368715828792339981648439391	35	113.205
305477	6898892569 136013686435728003033552383	938343810633740016233383992750941927	36	119.498
305477	87977377 18558593823607885142975692961	1632736405409422411396271441466143297	37	120.297
305477	6898892569 18558593823607885142975692961	128033745020777735582680510716268506809	39	126.590
305477	87977377 6898892569 136013686435728003033552383	82553027183741154328150543516014885016785479	44	145.888
305477	87977377 6898892569 18558593823607885142975692961	11264073054414835676563797961837694456762459993	47	152.980
305477	136013686435728003033552383 18558593823607885142975692961	25242227610122413028322441043431586215748170929178 76063	55	180.720
305477	87977377 136013686435728003033552383 18558593823607885142975692961	22207449747755485471424350732382540342108801708968 0012433826751	63	207.111
305477	6898892569 136013686435728003033552383 18558593823607885142975692961	17414341648448014442144247505047077640370788719865 317698293675847	65	213.404
305477	87977377 6898892569 136013686435728003033552383 18558593823607885142975692961	15320681004123124314779691511328361523151712989949 38444367554976707313319	73	239.794

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-02-06T16:51:49	Lisander Viaene	Manual testing	50000	50000		-	skipped known factor: 87977377 skipped known factor: 6898892569	-	-	0.001	-	-	0.400%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-21T09:16:00	J Feitsma	Manual testing	?	?	6898892569	32.684	10	8.31918e-10	0.005	1.72945e-9

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.651 GHz-days
Estimated T-Level:	27.688

Digits	B1	Curves	Complete	FacMiss
20	11000	625 / 100	6.250	0.187%
25	50000	625 / 280	2.232	10.687%
30	250000	344 / 640	0.538	58.396%

New Calculation Method

Total ECM effort:	16.651 GHz-days
Estimated T-Level:	27.688

Digits	B1	Complete	FacMiss
20	11000	37.731	0.000%
25	50000	5.186	0.560%
30	250000	0.523	59.249%
35	1000000	0.042	95.902%
40	3000000	0.003	99.726%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.145
250000	25000000		106	4.045
250000	25000000	136013686435728003033552383	38	1.450
250000	38500000		67	3.019
250000	38500000	18558593823607885142975692961	133	5.993

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-01-05T13:35:00	Richard B. Woods	Puttputt	50000	5000000						10	0.076
2014-09-19T12:43:00	TJAOI	Manual testing	50000	5000000						40	0.305
2015-03-06T11:38:00	TJAOI	Manual testing	50000	5000000						50	0.382
2015-10-23T13:46:26	TJAOI	Manual testing	50000	5000000						90	0.687
2016-03-24T20:21:25	TJAOI	Manual testing	50000	5000000						91	0.695
2017-09-15T15:40:01	TJAOI	Manual testing	250000	25000000						44	1.679
2019-04-05T11:26:19	TJAOI	Manual testing	250000	25000000	136013686435728003033552383	86.814	38	2		38	1.450
2019-04-05T11:26:19	TJAOI	Manual testing	250000	25000000						62	2.366
2021-09-08T22:54:10	nordi	sweet16	250000	38500000	18558593823607885142975692961	93.906	133	2	4703618660661689	133	5.993
2021-09-21T01:51:34	nordi	sweet16	250000	38500000						67	3.019

Lucas-Lehmer results:
No L-L results for M305477

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T15:35:39

Oliver Kruse

Ollaptop

87977377

6898892569

4365706DA648FC__

2017-09-22T20:37:24

Oliver Kruse

Manual testing

87977377

6898892569

4365706DA648FC__

2017-10-12T22:29:02

Oliver Kruse

GTX-2

4365706DA648FC__

2017-12-11T08:25:47

ATH

xps

87977377

6898892569

4365706DA648FC__

2019-04-06T10:00:11

trebor

Laptop

87977377

6898892569

136013686435728003033552383

DACBB62CD1FE7C6B

2019-04-07T09:38:51

kkmrkkblmbrbk

c5.large

87977377

6898892569

136013686435728003033552383

DACBB62CD1FE7C6B

2019-04-07T10:17:37

matzetoni

bobuba

87977377

6898892569

136013686435728003033552383

DACBB62CD1FE7C6B

2021-09-08T23:23:21

H Michaelson

87977377

6898892569

136013686435728003033552383

18558593823607885142975692961

DACBB62CD1FE7C6B

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 = 50000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-02-06T16:51:49+00:00

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