1 827 509 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
132233004570211913681	21	66.8	2014-05-01 00:45:31

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)		Roy Harris	BF4CAD5CD7A10BF2	0
Verified (Factored)	1999-01-17	Ethan O'Connor	BF4CAD5CD7A10BF2	1216195

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	CD4830FA65AA2377	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-04	Oliver Kruse	BBAF6B242D35EAB4	1	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	BBAF6B242D35EAB4	1	464163	1	3

History

Date	User	Type	Result
2025-09-03	Leimand	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	CD4830FA65AA2377 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-06	kkmrkkblmbrbk	C-PRP	M1827509/132233004570211913681 : BBAF6B242D35EAB4 PRP: Verified PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1827509/132233004570211913681 : BBAF6B242D35EAB4 PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-05-01	Chang Chia-Tche	F-ECM	Factor: 132233004570211913681
2011-12-31	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-11	Architects Cubed	NF	no factor from 2^60 to 2^61