204 461 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
140260247	9	27.1	old
18258455971764881671	20	64.0	2014-07-28 13:47:13
375883973393344119133905337	27	88.3	2014-07-28 13:47:12
13887385625510659686126690641	29	93.5	2020-06-16 18:39:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	592 / 640

Estimated T-Level: 29.6 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	487ACC67505313A8	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	487ACC67505313A8	3	11937	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	BDB9A84D8DC15B7D	3	92811	5	3
Verified	2020-06-17	Oliver Kruse	BDB9A84D8DC15B7D	4	23265	5	3
Verified	2023-08-03	USAFSS	BDB9A84D8DC15B7D	4	136899	5	3

History

Date	User	Type	Result
2023-08-03	LOBES	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M204461/140260247/18258455971764881671/375883973393344119133905337/13887385625510659686126690641 : BDB9A84D8DC15B7D PRP proof power = 5 PRP: Verified Proof certified good
2022-02-07	Oliver Kruse	NF-PM1	B1=30000000, B2=10264076402580
2021-05-07	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-06-17	Oliver Kruse	C-PRP	M204461/140260247/375883973393344119133905337/18258455971764881671/13887385625510659686126690641 : BDB9A84D8DC15B7D PRP: Verified PRP without proof (small exponent)
2020-06-16	_p95holder_	F-ECM	Factor: 13887385625510659686126690641 / (ECM curve 1, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M204461/140260247/18258455971764881671/375883973393344119133905337 : BDB9A84D8DC15B7D PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M204461/140260247/375883973393344119133905337/18258455971764881671 : 487ACC67505313A8 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M204461/known_factors : 487ACC67505313A8 PRP without proof (not generated)
2014-07-28	TJAOI	F-ECM	Factor: 18258455971764881671
2014-07-28	TJAOI	F-ECM	Factor: 375883973393344119133905337