M611322977 Mersenne number exponent details

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M611322977

<<<

is 2 ^611322977 - 1

has 184026554 decimal digits

takes 18,488.275 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	2⁶⁸	0.0975	55.8824%	-	-	-	-	0.0975	55.8824%	0.0000%
PrimeNet	2⁷⁹	200.2758	62.0253%	2200000	150000000	449.5993	5.7696%	649.8751	64.2163%	2.1910%
GPU72	2⁸³	3,204.4170	63.8554%	3400000	150000000	499.3552	4.3131%	3,703.7722	65.4144%	1.5590%
Difference	-15	-3,204.3195	-7.9731%	-3400000	-150000000	-499.3552	-4.3131%	-3,703.6747	-9.5320%	-9.5320%

Known prime factors (2 factors, 131.9 bits, 0.00002158% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
611322977	25468972032169892623	20	64.465	20831027943 3 × 11 × 631243271	2012-01-12	11	631243271	0.0089	1,508.2	2,816.8
611322977	200367792615560138479	21	67.441	163880469207 3² × 7 × 13 × 19 × 113 × 93199	2022-08-03	113	93199	0.0502	0.2274	0.4159

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
611322977	25468972032169892623 200367792615560138479	5103161706273318304787875561868440540417	40	131.907

P-1 results:
No P-1 results for M611322977

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-01-12T17:38:00	Damian Silvestre	PcMa	?	?	25468972032169892623	64.465	20	0.003	37,821	0.006
2010-07-29T10:20:00	Architects Cubed	m1_tt	2⁶³	2⁶⁴		-	-	0.003	-	-
2022-08-03T11:22:49	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200367792615560138479	67.441	21	0.002	37,820	0.003
2022-08-10T19:29:50	LordJulius	Manual testing	2¹	2⁶⁸	200367792615560138479	67.441	21	0.050	37,820	0.103
2022-08-10T19:29:50	LordJulius	Manual testing	2¹	2⁶⁸	25468972032169892623	64.465	20	0.009	37,821	0.018

ECM factoring results:
No ECM results for M611322977

Lucas-Lehmer results:
No L-L results for M611322977

PRP results:
No PRP results for M611322977

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

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:50+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