3 235 657 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
4076474156964152143	19	61.8	2009-05-19 15:57:16
733788008250238919421559	24	79.3	2019-05-08 01:27:10

ECM

Digits	B1	Curves
25	50000	3 / 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)	1999-04-13	Enrico Memo	9CA495434541C76B	0
Verified (Factored)	1999-09-30	Kent Lee	9CA495434541C76B	2194880

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-02	Oliver Kruse	A962EBC51E7BC63B	1	2397299	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	A962EBC51E7BC63B	1	2551696	5	3
Verified	2019-05-08	Chang Chia-Tche	A962EBC51E7BC63B	2	2856116	5	3

History

Date	User	Type	Result
2022-09-07	Joss	NF-PM1	B1=1073564, 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
2022-01-07	Joss	NF-PM1	B1=1073564, B2=116447100
2021-07-23	Joss	NF	no factor from 2^67 to 2^68
2021-01-16	Joss	NF-PM1	B1=323565, B2=3235657, E=6
2020-12-25	Joss	NF-PM1	B1=107855
2019-05-08	Chang Chia-Tche	C-PRP	M3235657/4076474156964152143/733788008250238919421559 : A962EBC51E7BC63B PRP: Verified PRP without proof (not generated)
2019-05-08	J.R. Allen	F-ECM	Factor: 733788008250238919421559 / (ECM curve 2, B1=50000, B2=5000000)
2017-12-13	kkmrkkblmbrbk	C-PRP	M3235657/4076474156964152143 : A962EBC51E7BC63B PRP: Verified PRP without proof (not generated)
2017-11-02	Oliver Kruse	C-PRP	M3235657/4076474156964152143 : A962EBC51E7BC63B PRP: Verified PRP without proof (not generated)
2009-05-19	Aca Arsov	F-ECM	Factor: 4076474156964152143
2009-04-05	S485122	NF	no factor from 2^60 to 2^61