M25015531 Mersenne number exponent details

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M25015531

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is 2 ^25015531 - 1

has 7530426 decimal digits

takes 21.437 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	2⁶⁷	1.1878	62.6866%	-	-	-	-	1.1878	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5904	62.1212%	110000	4000000	0.4000	4.9779%	0.9904	64.0068%	1.8856%
GPU72	2⁷⁰	9.5521	64.2857%	180000	5000000	0.5500	3.6606%	10.1021	65.5931%	1.3073%
Difference	-3	-8.3643	-1.5991%	-180000	-5000000	-0.5500	-3.6606%	-8.9142	-2.9065%	-2.9065%

Known prime factors (2 factors, 120.2 bits, 0.00048051% 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
25015531	642730932513498911	18	59.157	12846637805 5 × 89 × 97 × 297617	2001-12-01	97	297617	0.0047	0.0203	0.0376
25015531	2378674394026959913	19	61.045	47543951676 2² × 3 × 13 × 53 × 149 × 38593	2016-03-29	149	38593	0.0200	0.0028	0.0049

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
25015531	642730932513498911 2378674394026959913	1528847611418929888965557735966154743	37	120.202

P-1 results:
No P-1 results for M25015531

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-12-01T00:00:00	Matt	v4_computers	?	?	642730932513498911	59.157	18	0.002	44.26	0.003
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2022-06-24T05:50:27	LordJulius	Manual testing	2¹	2⁶¹	642730932513498911	59.157	18	0.005	44.26	0.010
2016-03-29T11:09:23	TJAOI	Manual testing	2⁶¹	2⁶²*	2378674394026959913	61.045	19	0.008	44.24	0.016

ECM factoring results:
No ECM results for M25015531

Lucas-Lehmer results:
No L-L results for M25015531

PRP results:
No PRP results for M25015531

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

TF factor-bounds graph:

2⁶⁷

2⁶²

2⁶¹

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:50:27+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