5 857 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
9080465102919076112833	22	72.9	old
97697943105443166843487439	26	86.3	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	2697 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	73BE3EB50F01E227	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	73BE3EB50F01E227	2	0	1	3
Verified	2017-12-07	ATH	73BE3EB50F01E227	2	5589	1	3
Verified	2020-04-17	Oliver Kruse	C6E05BC476833F6A	2	375	5	3
Verified	2024-02-03	Wentao Huang	C6E05BC476833F6A	2	1636	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5857/9080465102919076112833/97697943105443166843487439 : C6E05BC476833F6A PRP: Verified PRP without proof (small exponent)
2023-07-23	-Anonymous-	NF-PM1	B1=42000000000, B2=171618937469779800
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5857/9080465102919076112833/97697943105443166843487439 : C6E05BC476833F6A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5857/9080465102919076112833/97697943105443166843487439 : 73BE3EB50F01E227 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5857/9080465102919076112833/97697943105443166843487439 : 73BE3EB50F01E227 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5857/known_factors : 73BE3EB50F01E227 PRP without proof (not generated)