9 391 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
93911	5	16.5	old
1016439444311719	16	49.9	old
120008523316360043887516888434308948608007	42	136.5	2024-06-14 01:37:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	6844 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	D54DE2BD2E4C7F7B	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D54DE2BD2E4C7F7B	2	9242	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	2CBB28083B3E1AC1	2	6068	5	3
Verified	2024-06-14	nordi	2CBB28083B3E1AC1	3	4257	5	3

History

Date	User	Type	Result
2024-06-14	nordi	C-PRP	M9391/93911/1016439444311719/120008523316360043887516888434308948608007 : 2CBB28083B3E1AC1 PRP: Verified PRP without proof (small exponent)
2024-06-14	nordi	F-ECM	Factor: 120008523316360043887516888434308948608007 / (ECM curve 451, B1=11000000, B2=93177894810, Edwards Sigma=8752514963050848)
2023-07-04	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000, B2=47317194184260
2020-04-17	Oliver Kruse	C-PRP	M9391/93911/1016439444311719 : 2CBB28083B3E1AC1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9391/93911/1016439444311719 : D54DE2BD2E4C7F7B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9391/93911/1016439444311719 : D54DE2BD2E4C7F7B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9391/93911/1016439444311719 : D54DE2BD2E4C7F7B PRP without proof (not generated)