109 537 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
1195924967	10	30.2	old
867605444399476683167	21	69.6	2010-02-18 14:30:17
1684060814533477147338871	25	80.5	2016-12-07 22:05:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	546 / 1566

Estimated T-Level: 31.7 ⓘ

TF below 2^100 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	343E2EAA3C68B584	3	0	1	3
Verified	2017-10-09	Chang Chia-Tche	343E2EAA3C68B584	3	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	343E2EAA3C68B584	3	60585	1	3
Verified	2020-04-17	Oliver Kruse	15542C778406E49A	3	54794	5	3
Verified	2022-04-15	LordJulius	15542C778406E49A	3	32485	5	3
Verified	2022-11-11	LordJulius	15542C778406E49A	3	105707	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-07	1684060814533477147338871	100000000	0

History

Date	User	Type	Result
2025-08-31	masser	NF-PM1	B1=380000000, B2=43469437491480
2024-10-08	timc995	NF-PM1	B1=1300000, B2=2470063445850
2022-11-11	curtisc	CERT	PRP Certification Proof certified good
2022-11-11	LordJulius	C-PRP	M109537/1195924967/867605444399476683167/1684060814533477147338871 : 15542C778406E49A PRP proof power = 5 PRP: Verified Proof certified good
2022-05-07	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-07	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-07	LordJulius	NF	no factor from 2^60 to 2^61
2022-05-07	LordJulius	NF	no factor from 2^59 to 2^60
2022-05-07	LordJulius	NF	no factor from 2^58 to 2^59
2022-05-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-04-15	LordJulius	C-PRP	M109537/1195924967/867605444399476683167/1684060814533477147338871 : 15542C778406E49A PRP proof power = 5 PRP: Verified PRP proof never uploaded
2020-04-17	Oliver Kruse	C-PRP	M109537/1195924967/867605444399476683167/1684060814533477147338871 : 15542C778406E49A PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M109537/1195924967/867605444399476683167/1684060814533477147338871 : 343E2EAA3C68B584 PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M109537/known_factors : 343E2EAA3C68B584 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M109537/known_factors : 343E2EAA3C68B584 PRP without proof (not generated)
2016-12-07	kkmrkkblmbrbk	F-PM1	Factor: 1684060814533477147338871 / (P-1, B1=100000000)
2010-02-18	Rob_Dee	F-ECM	Factor: 867605444399476683167