5 897 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
2970583620693002864570235337	28	91.3	old
4325259751466467319984006129	28	91.8	old
22486703570938614458509790231	29	94.2	old

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	3534 / 16550

Estimated T-Level: 46.1 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	BA23642E3820CF6F	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BA23642E3820CF6F	3	0	1	3
Verified	2017-12-07	ATH	BA23642E3820CF6F	3	2513	1	3
Verified	2020-04-17	Oliver Kruse	CF96537CCB3D181A	3	2672	5	3
Verified	2024-02-03	Wentao Huang	CF96537CCB3D181A	3	2787	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5897/2970583620693002864570235337/4325259751466467319984006129/22486703570938614458509790231 : CF96537CCB3D181A PRP: Verified PRP without proof (small exponent)
2023-07-24	-Anonymous-	NF-PM1	B1=42000000000, B2=171618195782983950
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5897/2970583620693002864570235337/4325259751466467319984006129/22486703570938614458509790231 : CF96537CCB3D181A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5897/2970583620693002864570235337/4325259751466467319984006129/22486703570938614458509790231 : BA23642E3820CF6F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5897/2970583620693002864570235337/4325259751466467319984006129/22486703570938614458509790231 : BA23642E3820CF6F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5897/known_factors : BA23642E3820CF6F PRP without proof (not generated)