M30343871 Mersenne number exponent details

≡

is 2 ^30343871 - 1

has 9134416 decimal digits

takes 31.608 GHz-days to do one PRP test

Last-known PrimeNet details:
-unknown- L-L 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	unknown			-	-	-	-	0.0000	0.0000%	-62.6866%
PrimeNet	2⁶⁷	0.9792	62.6866%	130000	5000000	0.5971	4.9154%	1.5764	67.6020%	4.9154%
GPU72	2⁷¹	15.7553	64.7887%	200000	6000000	0.7794	3.5653%	16.5347	68.3541%	3.5653%
Difference	-71	-15.7553	-64.7887%	-200000	-6000000	-0.7794	-3.5653%	-16.5347	-68.3541%	-68.3541%

Known prime factors (3 factors, 122.3 bits, 0.00040313% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
30343871	60687743	8	25.855	1 1	1	1	-	1.473e-13	1.510e-6	3.074e-6
30343871	13295773956071	14	43.596	219085 5 × 43 × 1019	43	1019	2008-03-11	5.488e-8	0.0001	0.0002
30343871	8251210088674951	16	52.874	135961725 3 × 5² × 1812823	25	1812823	2008-03-11	3.845e-5	0.1492	0.2786

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
30343871	60687743 13295773956071	806890512832130137753	21	69.451
30343871	60687743 8251210088674951	500747317300512636825593	24	78.728
30343871	13295773956071 8251210088674951	109706224203074699971672077521	30	96.470
30343871	60687743 13295773956071 8251210088674951	6657823139936577201682942320870525103	37	122.324

P-1 results:
Exponent "30343871" not found

Trial Factoring results:
Exponent "30343871" not found

ECM factoring results:
Exponent "30343871" not found

Lucas-Lehmer results:
Exponent "30343871" not found

PRP results:
Exponent "30343871" not found

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2008-03-11T06:36:09+00:00