5 641 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
49748069257	11	35.5	old
27281795701539768369826481	26	84.5	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	6080 / 16550

Estimated T-Level: 46.8 ⓘ

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	2017-09-21	Oliver Kruse	AC6DEC20D97BD45D	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	AC6DEC20D97BD45D	2	2932	1	3
Verified	2020-04-17	Oliver Kruse	68076367808508A4	2	5119	5	3
Verified	2024-02-03	Wentao Huang	68076367808508A4	2	2242	5	3

History

Date	User	Type	Result
2024-09-30	mikr	NF-PM1	B1=500000000000, B2=1294202799626807070
2024-02-03	Wentao Huang	C-PRP	M5641/49748069257/27281795701539768369826481 : 68076367808508A4 PRP: Verified PRP without proof (small exponent)
2023-07-15	-Anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5641/49748069257/27281795701539768369826481 : 68076367808508A4 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5641/49748069257/27281795701539768369826481 : AC6DEC20D97BD45D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5641/49748069257/27281795701539768369826481 : AC6DEC20D97BD45D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5641/49748069257/27281795701539768369826481 : AC6DEC20D97BD45D PRP without proof (not generated)