M101865877 Mersenne number exponent details

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is 2 ^101865877 - 1

has 30664685 decimal digits

takes 405.589 GHz-days to do one PRP test

Last-known PrimeNet details:
-unknown- L-L 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	2⁷⁶	150.2367	64.4737%	734000	22077000	10.9510	3.9132%	161.1877	68.3869%	5.8869%
PrimeNet	2⁷²	9.3882	62.5000%	400000	22000000	9.1035	5.2975%	18.4917	67.7975%	5.2975%
GPU72	2⁷⁶	150.2367	64.4737%	650000	22000000	10.4682	3.8491%	160.7049	68.3228%	3.8491%
Difference	-	-	-	+84000	+77000	+0.4828	+0.0642%	+0.4828	+0.0642%	+0.0642%

Known prime factors (1 factor, 77.8 bits, 0.00007639% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
101865877	266025522568523283383201	24	77.816	1305763668870800 2⁴ × 5² × 34673 × 94148449	34673	94148449	2020-12-31	574.94	29.803	55.311

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-12-31T13:44:38	Kriesel	ostrich	734000	22077000	12		266025522568523283383201	24	77.816	10.95	811.2	21.90	3.913%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-03-02T04:36:00	1997rj7	compa	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-15T19:39:00	Richard	FX5000_1	2⁶⁴	2⁶⁵		-	-	0.037	-	-
2012-04-18T20:18:00	Donna Noble	Opt6128x4x4	2⁶⁵	2⁶⁶		-	-	0.073	-	-
2013-08-27T01:09:00	SMoffat	Manual testing	2⁶⁶	2⁶⁷		-	-	0.147	-	-
2013-08-27T23:34:00	Robish	Manual testing	2⁶⁷	2⁶⁸		-	-	0.293	-	-
2013-08-28T22:04:00	Robish	Manual testing	2⁶⁸	2⁶⁹		-	-	0.587	-	-
2013-08-30T09:14:00	Robish	Manual testing	2⁶⁹	2⁷⁰		-	-	1.174	-	-
2013-09-01T22:59:00	Robish	Manual testing	2⁷⁰	2⁷¹		-	-	2.347	-	-
2014-12-22T07:03:00	ANONYMOUS		2⁷¹	2⁷²		-	-	4.695	-	-
2020-01-31T02:15:07	ixfd64	Manual testing	2⁷²	2⁷⁴		-	-	28.17	-	-
2020-10-10T18:26:10	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	37.56	-	-
2020-10-10T18:26:10	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	75.12	-	-

ECM factoring results:
Exponent "101865877" not found

Lucas-Lehmer results:
Exponent "101865877" not found

PRP results:
Exponent "101865877" not found

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 = 734000, B2 = 22077000 (stage 2)

B1 = 734000 (stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-12-31T13:44:38+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	<	123M	PrimeNet wavefront