M3 934 768 037 Mersenne number exponent details

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is 2 ^3934768037 - 1

has 1184483206 decimal digits

takes 987,153.148 GHz-days to do one PRP test

0 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
Actual	2⁷¹	0.1215	54.9296%	-	-	-	-	0.1215	54.9296%
Target	2⁹²	254,900.4529	65.2174%	20000000	6000000000	125,796.0639	4.2293%	380,696.5168	66.6884%
Difference	-21	-254,900.3314	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2293%	-380,696.3953	-11.7589%

Known prime factors (2 factors, 113.3 bits, 0.00000288% 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
3934768037	2538735946080623	16	51.173	322603 37 × 8719	2014-05-13	37	8719	8.404e-8	0.1855	0.3228
3934768037	5158382905043806553	19	62.162	655487548 2² × 163 × 1005349	2019-12-20	163	1005349	0.0003	19.982	37.215

1 Composite Factors:

P-1 results:
No P-1 results for M3934768037

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-12-21	slaur	palvi2-rtx	2¹	2⁶⁴	5158382905043806553	62.162	19	0.001	217,068	0.002
2023-11-27	slaur	palvi2-rtx	2⁶⁴	2⁷¹		-	-	0.121	-	-

ECM factoring results:
No ECM results for M3934768037

Lucas-Lehmer results:
No L-L results for M3934768037

PRP results:
No PRP results for M3934768037

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:

2⁷¹

2⁶⁴

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-11-27T06:00:17+00:00