5 507 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
21675553	8	24.4	old
118415275877385658245796103	27	86.6	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	11271 / 16550

Estimated T-Level: 48.4 ⓘ

TF below 2^156 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	096D7F5E2F91BE76	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	096D7F5E2F91BE76	2	3717	1	3
Verified	2020-04-17	Oliver Kruse	183D22C77EAA06A0	2	1728	5	3
Verified	2024-02-03	Wentao Huang	183D22C77EAA06A0	2	4874	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5507/21675553/118415275877385658245796103 : 183D22C77EAA06A0 PRP: Verified PRP without proof (small exponent)
2023-07-12	-Anonymous-	NF-PM1	B1=45000000000, B2=181125525847266000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5507/21675553/118415275877385658245796103 : 183D22C77EAA06A0 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5507/21675553/118415275877385658245796103 : 096D7F5E2F91BE76 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5507/21675553/118415275877385658245796103 : 096D7F5E2F91BE76 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5507/21675553/118415275877385658245796103 : 096D7F5E2F91BE76 PRP without proof (not generated)