M3 021 377 Mersenne number exponent details

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is 2 ^3021377 - 1

has 909526 decimal digits

takes 0.257 GHz-days to do one PRP test

Is a Mersenne Prime!

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

Verified Mersenne Prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	9.8346	67.1642%	35000	612500	0.0082	1.6503%	9.8428	67.7061%
Target	2⁶⁴	1.1780	65.6250%	13000	1100000	0.0089	1.4283%	1.1870	66.1160%
Difference	+3	+8.6565	+1.5392%	+22000	-487500	-0.0007	+0.2220%	+8.6558	+1.5901%

Known prime factors:
None — M3021377 is prime!

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-06-23	ANONYMOUS	v4_computers	35000	507500		-		-	-	0.007	-	-	1.567%
2002-09-29	ANONYMOUS	v4_computers	30000	232500		-		-	-	0.005	-	-	1.188%
2003-03-07	ANONYMOUS	v4_computers	15000	187500		-		-	-	0.003	-	-	0.899%
2005-05-12	ANONYMOUS	v4_computers	35000	612500		-		-	-	0.008	-	-	1.650%
2005-11-27	ANONYMOUS	v4_computers	25000	268750		-		-	-	0.005	-	-	1.184%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-12-13	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.025	-	-
1998-03-03	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.025	-	-
2003-03-07	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.025	-	-
2002-06-23	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2002-09-29	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2002-11-09	Criswell	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2003-01-09	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2003-03-27	Team Prime Rib	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2005-05-12	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-

ECM factoring results:
No ECM results for M3021377

Lucas-Lehmer results:
No L-L results for M3021377

PRP results:
No PRP results for M3021377

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 = 35000, B2 = 612500 (P-1 stage 2)

B1 = 35000, B2 = 507500 (P-1 stage 2)

B1 = 30000, B2 = 232500 (P-1 stage 2)

B1 = 25000, B2 = 268750 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 25000 (P-1 stage 1)

B1 = 15000, B2 = 187500 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁰

2⁵⁹

this exponent TF target: 64

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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Last modified: 2023-10-02T12:12:48+00:00