3 204 581 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
390185678964564427601	21	68.4	2009-05-11 04:18:25
33989616272291881340177	23	74.8	2020-12-29 03:27:51

ECM

Digits	B1	Curves
25	50000	4 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Scott Kurowski	55F43AFD08C5F564	0
Verified (Factored)		Michael S. Barthelemy	55F43AFD08C5F564	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-01	Oliver Kruse	410124AAA17164E6	1	992206	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	410124AAA17164E6	1	1281730	5	3
Verified	2020-12-29	firejuggler	410124AAA17164E6	2	1089296	5	3
Verified	2020-12-30	xyuzyz	410124AAA17164E6	2	1663875	5	3

P-1 factors

Date	Factor	B1	B2
2020-12-29	33989616272291881340177	320458	3204581

History

Date	User	Type	Result
2022-09-07	Joss	NF-PM1	B1=1061374, B2=223284600
2022-04-03	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-03	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-03	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-03	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-03	LordJulius	NF	no factor from 2^61 to 2^63
2022-01-07	Joss	NF-PM1	B1=1061374, B2=116447100
2021-09-28	Joss	NF	no factor from 2^67 to 2^68
2020-12-30	xyuzyz	C-PRP	M3204581/390185678964564427601/33989616272291881340177 : 410124AAA17164E6 PRP: Verified PRP without proof (not generated)
2020-12-29	Oliver Kruse	CERT	PRP Certification Proof certified good
2020-12-29	firejuggler	C-PRP	M3204581/390185678964564427601/33989616272291881340177 : 410124AAA17164E6 PRP proof power = 7 PRP: Verified Proof certified good
2020-12-29	Joss	F-PM1	Factor: 33989616272291881340177 / (P-1, B1=320458, B2=3204581, E=6)
2017-12-13	kkmrkkblmbrbk	C-PRP	M3204581/390185678964564427601 : 410124AAA17164E6 PRP: Verified PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3204581/390185678964564427601 : 410124AAA17164E6 PRP: Verified PRP without proof (not generated)
2009-05-11	Aca Arsov	F-ECM	Factor: 390185678964564427601
2009-04-08	S485122	NF	no factor from 2^60 to 2^61