M14 896 487 Mersenne number exponent details

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is 2 ^14896487 - 1

has 4484290 decimal digits

takes 7.134 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

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	2⁶⁷	1.9947	64.1791%	300000	300000	0.2083	2.2042%	2.2030	64.9687%
Target	2⁶⁹	8.0144	65.2174%	100000	2600000	0.1640	2.9903%	8.1784	66.2575%
Difference	-2	-6.0197	-1.0383%	+200000	-2300000	+0.0443	-0.7860%	-5.9754	-1.2888%

Known prime factors (2 factors, 113.6 bits, 0.00076281% 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
14896487	6401586530407	13	42.542	214869 3 × 67 × 1069	-	67	1069	5.933e-8	8.443e-5	9.468e-5
14896487	2512575333170670080671	22	71.090	84334492191705 3 × 5 × 7² × 17 × 29 × 31 × 131 × 223 × 257	2023-02-18	223	257	35.742	0.0002	0.0003

1 Composite Factors:

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-02-18	nordi	sweet16_30.8b14	300000	300000			2512575333170670080671	22	71.090	0.208	14.27	0.417	2.204%

Trial Factoring results:
No TF results for M14896487

ECM factoring results:
No ECM results for M14896487

Lucas-Lehmer results:
No L-L results for M14896487

PRP results:
No PRP results for M14896487

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 = 300000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

this exponent TF target: 69

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-03-25T13:08:14+00:00