5 581 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
129359320121	12	36.9	old
189925138002157289	18	57.4	old
4473040308560127599	19	62.0	old
715374237376043527314008847742759	33	109.1	old
8486936822056132753345129750577341457	37	122.7	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	10261 / 16550

Estimated T-Level: 48.1 ⓘ

TF below 2^155 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	780CCE155F4491AE	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	780CCE155F4491AE	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	780CCE155F4491AE	5	5414	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BAEFC8B17E71CC1D	5	1821	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	BAEFC8B17E71CC1D	5	3092	5	3

History

Date	User	Type	Result
2025-05-16	masser	NF-PP1	Start=143/59, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : BAEFC8B17E71CC1D
2023-07-14	-anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : BAEFC8B17E71CC1D
2017-12-07	ATH	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : 780CCE155F4491AE
2017-10-02	kkmrkkblmbrbk	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : 780CCE155F4491AE
2017-09-21	Oliver Kruse	C-PRP	M5581/known_factors : 780CCE155F4491AE