M1700807 Mersenne number exponent details

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is 2 ^1700807 - 1

has 511994 decimal digits

takes 0.080 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	370E79984951B2E9	double-checked
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	2⁶⁸	35.0451	69.1176%	10000000	200000000	1.3888	9.1085%	36.4339	71.9306%	2.8129%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7315%	0.0123	64.1643%	1.0064%
GPU72	2⁶¹	0.1806	65.5738%	7000	100000	0.0008	1.3014%	0.1814	66.0218%	0.4480%
Difference	+7	+34.8644	+3.5439%	+9993000	+199900000	+1.3880	+7.8071%	+36.2524	+5.9088%	+5.9088%

Known prime factors (1 factor, 89.3 bits, 0.00525236% 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
1700807	779425659153589563869367007	27	89.333	229134069636822274329 3² × 2867357 × 8879027296133	2019-12-25	2867357	8879027296133	94,917,592	33,012	61,657

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-27T22:35:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.003	-	-	0.488%
2011-02-07T12:40:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.082%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.765%
2014-05-03T00:50:00	Jocelyn Larouche	Manual testing	150000	150000		-		-	-	0.010	-	-	0.967%
2014-10-01T23:01:00	Jocelyn Larouche	Manual testing	187737	187737		-		-	-	0.013	-	-	1.093%
2015-01-07T04:02:00	Jocelyn Larouche	Manual testing	281605	281605		-		-	-	0.019	-	-	1.344%
2015-02-02T07:32:00	Jocelyn Larouche	Manual testing	309765	309765		-		-	-	0.021	-	-	1.407%
2015-02-16T20:56:00	Jocelyn Larouche	Manual testing	374815	374815		-		-	-	0.026	-	-	1.540%
2015-02-18T11:51:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.389	-	-	9.109%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.011	-	-
2003-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.023	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.068	-	-
2010-04-21T13:12:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.090	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.181	-	-
2010-10-04T14:38:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.938	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.577	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	1.154	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	2.197	-	-
2015-08-30T20:42:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.394	-	-
2018-06-18T10:05:51	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.787	-	-
2019-08-06T10:06:05	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.57	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	33.585 GHz-days
Estimated T-Level:	25.445

Digits	B1	Curves	Complete	FacMiss
20	11000	337 / 100	3.370	3.381%
25	50000	337 / 280	1.204	29.947%
30	250000	57 / 640	0.089	91.472%

New Calculation Method

Total ECM effort:	33.585 GHz-days
Estimated T-Level:	25.445

Digits	B1	Complete	FacMiss
20	11000	13.782	0.000%
25	50000	1.503	22.245%
30	250000	0.124	88.303%
35	1000000	0.008	99.157%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	16.64
250000	25000000		50	14.86
250000	25000000	779425659153589563869367007	7	2.081

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-04-13T00:00:00	ANONYMOUS	v4_computers	370E79984951B2E9	0.080
2015-06-28T05:06:00	MadPoo	Manual testing	370E79984951B2E9	0.080

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-12-26T09:20:33

Niels_Mache_Nextcloud

SuperDry-X

779425659153589563869367007

ED03C82F90020FCD

no

2019-12-28T09:00:25

arnaud

stm-11-010

779425659153589563869367007

ED03C82F90020FCD

no

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 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 374815 (P-1 stage 1)

B1 = 309765 (P-1 stage 1)

B1 = 281605 (P-1 stage 1)

B1 = 187737 (P-1 stage 1)

B1 = 90000, B2 = 1507500 (P-1 stage 2)

B1 = 150000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-12-28T09:00:25+00:00