1 953 503 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
8613963630040385217703	22	72.9	2011-01-15 21:42:51
9910921324950653925089	22	73.1	2024-02-05 10:44:55
27711645160661429135599927	26	84.5	2021-05-17 06:03:37
117760178215269116673725591	27	86.6	2024-02-05 10:44:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Jack B Sippel II	06E79D0854D848CD	0
Verified (Factored)	1999-01-29	jim fowley	06E79D0854D848CD	448504

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	30B53485A6D64C40	1	0	1	3
Verified (Factored)	2017-11-11	kkmrkkblmbrbk	30B53485A6D64C40	1	935511	1	3
Verified (Factored)	2021-05-18	M8909387	E8229D0CC57F7E20	2	1901187	5	3
Verified	2024-02-05	Naegi Makoto	E8229D0CC57F7E20	4	1626794	5	3

History

Date	User	Type	Result
2024-02-05	curtisc	CERT	PRP Certification Proof certified good
2024-02-05	Naegi Makoto	C-PRP	M1953503/8613963630040385217703/9910921324950653925089/27711645160661429135599927/117760178215269116673725591 : E8229D0CC57F7E20 PRP proof power = 7 PRP: Verified Proof certified good
2024-02-05	TJAOI	F-ECM	Factor: 117760178215269116673725591 / (ECM curve 23, B1=250000, B2=40000000, Sigma=1192189878515926)
2024-02-05	TJAOI	F-ECM	Factor: 9910921324950653925089 / (ECM curve 15, B1=250000, B2=40000000, Sigma=132615018616530)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2021-05-18	curtisc	CERT	PRP Certification Proof certified good
2021-05-18	M8909387	C-PRP	M1953503/8613963630040385217703/27711645160661429135599927 : E8229D0CC57F7E20 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-05-17	_p95holder_	F-ECM	Factor: 27711645160661429135599927 / (ECM curve 6, B1=50000, B2=5000000)
2017-11-11	kkmrkkblmbrbk	C-PRP	M1953503/8613963630040385217703 : 30B53485A6D64C40 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1953503/8613963630040385217703 : 30B53485A6D64C40 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2011-01-15	Lupo	F-ECM	Factor: 8613963630040385217703
2010-01-17	S485122	NF	no factor from 2^60 to 2^61