M4 137 921 847 Mersenne number exponent details

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is 2 ^4137921847 - 1

has 1245638596 decimal digits

takes 1,038,120.300 GHz-days to do one PRP test

-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
Actual	2⁷⁵	1.8492	57.3333%	-	-	-	-	1.8492	57.3333%
Target	2⁹²	242,385.9589	65.2174%	20000000	6000000000	125,796.0639	4.2498%	368,182.0228	66.6956%
Difference	-17	-242,384.1097	-7.8841%	-20000000	-6000000000	-125,796.0639	-4.2498%	-368,180.1736	-9.3622%

Known prime factors:
No known factors for M4137921847

P-1 results:
No P-1 results for M4137921847

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-10-15	ramgeis	r4mg31s	2⁷¹	2⁷³		-	-	0.347	-	-
2023-10-15	ramgeis	r4mg31s	2⁷³	2⁷⁴		-	-	0.462	-	-
2023-10-15	ramgeis	r4mg31s	2⁷⁴	2⁷⁵		-	-	0.925	-	-

ECM factoring results:
No ECM results for M4137921847

Lucas-Lehmer results:
No L-L results for M4137921847

PRP results:
No PRP results for M4137921847

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-15T23:50:26+00:00