2 176 549 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
88704395437228289	17	56.3	old
37357465519758984311	20	65.0	2018-04-24 13:37:07
1947655317192220950059503	25	80.7	2025-02-24 16:34:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	236 / 640

Estimated T-Level: 26.8 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-10	kkmrkkblmbrbk	E5A4D5D34244F81C	1	0	1	3
Verified (Factored)	2017-10-23	Oliver Kruse	E5A4D5D34244F81C	1	115993	1	3
Verified (Factored)	2018-04-24	ATH	87232ABDC3B79AE4	2	1193886	5	3
Verified (Factored)	2018-04-25	arnaud	87232ABDC3B79AE4	2	1406391	5	3
Verified	2025-02-24	Wentao Huang	87232ABDC3B79AE4	3	696463	5	3

History

Date	User	Type	Result
2025-03-17	TJAOI	F-ECM	Factor: 1947655317192220950059503 / (ECM curve 20, B1=250000, B2=254050335, Edwards Sigma=7936692277644156)
2025-02-24	DanMB	CERT	PRP Certification Proof certified good
2025-02-24	Wentao Huang	C-PRP	M2176549/88704395437228289/37357465519758984311/1947655317192220950059503 : 87232ABDC3B79AE4 PRP proof power = 7 PRP: Verified Proof certified good
2025-02-24	Wentao Huang	F-ECM	Factor: 1947655317192220950059503 / (ECM curve 39, B1=95772, B2=211847664, Edwards Sigma=7388451560480170)
2018-04-25	arnaud	C-PRP	M2176549/88704395437228289/37357465519758984311 : 87232ABDC3B79AE4 PRP: Verified (Factored) PRP without proof (not generated)
2018-04-24	ATH	C-PRP	M2176549/88704395437228289/37357465519758984311 : 87232ABDC3B79AE4 PRP: Verified (Factored) PRP without proof (not generated)
2018-04-24	TJAOI	F	Factor: 37357465519758984311 / TF: 65-66
2017-10-23	Oliver Kruse	C-PRP	M2176549/88704395437228289 : E5A4D5D34244F81C PRP: Verified (Factored) PRP without proof (not generated)
2017-10-10	kkmrkkblmbrbk	C-PRP	M2176549/88704395437228289 : E5A4D5D34244F81C PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12