11 240 059 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
539522833	9	29.0	old
130483709319791	15	46.9	2008-09-08 07:28:26
88629948245213998001	20	66.3	2019-12-31 17:18:48
507384918944590324823	21	68.8	2025-02-02 19:40:51
626475606625179731359	21	69.1	2025-03-08 14:07:04
5908731052912524400869511	25	82.3	2025-03-10 21:12:09

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2021-06-18	tottenhoff	84142644B26E2457	3	4143961	5	3
Verified (Factored)	2025-02-07	vsh	84142644B26E2457	4	7924263	5	3
Verified (Factored)	2025-03-09	vsh	84142644B26E2457	5	2166609	5	3
Verified	2025-03-11	vsh	84142644B26E2457	6	5189397	5	3

P-1 factors

Date	Factor	B1	B2
2025-03-10	5908731052912524400869511	10000000	20000264130

History

Date	User	Type	Result
2025-05-26	vsh	NF	no factor from 2^71 to 2^72
2025-04-01	vsh	NF	no factor from 2^70 to 2^71
2025-03-11	Will K	CERT	PRP Certification Proof certified good
2025-03-11	vsh	C-PRP	M11240059/539522833/130483709319791/88629948245213998001/507384918944590324823/626475606625179731359/5908731052912524400869511 : 84142644B26E2457 PRP proof power = 8 PRP: Verified Proof certified good
2025-03-10	vsh	F-PM1	Factor: 5908731052912524400869511 / (P-1, B1=10000000, B2=20000264130)
2025-03-10	GerardCBlais	CERT	PRP Certification Proof certified good
2025-03-09	vsh	C-PRP	M11240059/539522833/130483709319791/88629948245213998001/507384918944590324823/626475606625179731359 : 84142644B26E2457 PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2025-03-08	vsh	F	Factor: 626475606625179731359 / TF: 69-70
2025-02-07	Nickson Queiroz	CERT	PRP Certification Proof certified good
2025-02-07	vsh	C-PRP	M11240059/539522833/130483709319791/88629948245213998001/507384918944590324823 : 84142644B26E2457 PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2025-02-02	vsh	F	Factor: 507384918944590324823 / TF: 68-69
2024-07-06	vsh	NF-PM1	B1=625000, B2=301397460
2024-05-21	vsh	NF-PM1	B1=312500, B2=61499130
2021-06-18	curtisc	CERT	PRP Certification Proof certified good
2021-06-18	tottenhoff	C-PRP	M11240059/539522833/130483709319791/88629948245213998001 : 84142644B26E2457 PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2019-12-31	TJAOI	F	Factor: 88629948245213998001 / TF: 66-67
2008-09-08	Will Edgington	F	Factor: 130483709319791