5 581 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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	6069 / 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	780CCE155F4491AE	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	780CCE155F4491AE	5	0	1	3
Verified	2017-12-07	ATH	780CCE155F4491AE	5	5414	1	3
Verified	2020-04-17	Oliver Kruse	BAEFC8B17E71CC1D	5	1821	5	3
Verified	2024-02-03	Wentao Huang	BAEFC8B17E71CC1D	5	3092	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : BAEFC8B17E71CC1D PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : 780CCE155F4491AE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5581/129359320121/189925138002157289/4473040308560127599/715374237376043527314008847742759/8486936822056132753345129750577341457 : 780CCE155F4491AE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5581/known_factors : 780CCE155F4491AE PRP without proof (not generated)