3 953 629 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
213495967	9	27.7	old
869355573553	12	39.7	2008-09-30 21:30:44
11654032434881297	17	53.4	2014-09-20 10:44:24
227816310562237678657	21	67.6	2022-03-02 02:33:33

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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-12	kkmrkkblmbrbk	56D86D0F87E60192	3	855603	5	3
Verified (Factored)	2018-01-01	Oliver Kruse	56D86D0F87E60192	3	2069841	5	3
Verified	2022-03-07	Oliver Kruse	56D86D0F87E60192	4	3767956	5	3

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=3953629, B2=503152650
2022-08-23	Joss	NF-PM1	B1=3953629, B2=414691200
2022-06-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-06-20	LordJulius	NF	no factor from 2^65 to 2^66
2022-06-20	LordJulius	NF	no factor from 2^64 to 2^65
2022-06-20	LordJulius	NF	no factor from 2^63 to 2^64
2022-06-20	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-07	kawabe	CERT	PRP Certification Proof certified good
2022-03-07	Oliver Kruse	C-PRP	M3953629/213495967/869355573553/11654032434881297/227816310562237678657 : 56D86D0F87E60192 PRP proof power = 7 PRP: Verified Proof certified good
2022-03-06	Joss	NF-PM1	B1=1000000, B2=129198300
2022-03-02	Joss	NF	no factor from 2^67 to 2^68
2022-03-02	Joss	F	Factor: 227816310562237678657 / TF: 67-68
2018-01-01	Oliver Kruse	C-PRP	M3953629/213495967/869355573553/11654032434881297 : 56D86D0F87E60192 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-12	kkmrkkblmbrbk	C-PRP	M3953629/213495967/869355573553/11654032434881297 : 56D86D0F87E60192 PRP: Verified (Factored) PRP without proof (not generated)
2014-09-20	TJAOI	F	Factor: 11654032434881297 / TF: 53-54
2008-09-30	markr	F	Factor: 869355573553