M38112887 Mersenne number exponent details

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M38112887

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is 2 ^38112887 - 1

has 11473123 decimal digits

takes 49.229 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	1.5639	61.7647%	-	-	-	-	1.5639	61.7647%	0.0000%
PrimeNet	2⁶⁷	0.7796	61.1940%	170000	6500000	0.9643	5.5207%	1.7439	63.3364%	2.1424%
GPU72	2⁷¹	12.5437	63.3803%	280000	9000000	1.4142	4.1883%	13.9580	64.9140%	1.5337%
Difference	-3	-10.9798	-1.6156%	-280000	-9000000	-1.4142	-4.1883%	-12.3941	-3.1493%	-3.1493%

Known prime factors (2 factors, 132.0 bits, 0.00034641% 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
38112887	27627181163069232761	20	64.583	362438840740 2² × 5 × 19 × 29 × 61 × 539167	2006-06-13	61	539167	0.1452	0.0551	0.1028
38112887	200952989034445415681	21	67.445	2636286632320 2⁷ × 5 × 11 × 139 × 2694047	2022-08-05	139	2694047	0.9290	0.2752	0.5134

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
38112887	27627181163069232761 200952989034445415681	5551764633314888476515885397234388325241	40	132.028

P-1 results:
No P-1 results for M38112887

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2006-06-13T00:00:00	Edo	v4_computers	?	?	27627181163069232761	64.583	20	0.052	101.0	0.106
2003-09-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.002	-	-
2003-09-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.004	-	-
2022-08-10T19:29:24	LordJulius	Manual testing	2¹	2⁶⁶	27627181163069232761	64.583	20	0.145	101.0	0.298
2022-08-10T19:29:24	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.392	-	-
2022-08-05T09:34:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200952989034445415681	67.445	21	0.149	100.4	0.305
2022-08-10T19:29:24	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200952989034445415681	67.445	21	0.149	100.4	0.305

ECM factoring results:
No ECM results for M38112887

Lucas-Lehmer results:
No L-L results for M38112887

PRP results:
No PRP results for M38112887

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

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:24+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