109 831 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1098311	7	20.1	old
367125713503	12	38.4	2008-07-26 09:17:11
10508847234558271	17	53.2	2008-08-26 20:12:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	725 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	44CDA03912482230	3	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	44CDA03912482230	3	38752	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6D41105B98C7EDFB	3	72101	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	6D41105B98C7EDFB	3	97475	5	3
Verified	Certified Good	2022-11-11	LordJulius	6D41105B98C7EDFB	3	88226	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894943000, B2=137281887853110
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109831/1098311/367125713503/10508847234558271 : 6D41105B98C7EDFB Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109831/1098311/367125713503/10508847234558271 : 6D41105B98C7EDFB Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109831/1098311/367125713503/10508847234558271 : 6D41105B98C7EDFB
2017-10-13	kkmrkkblmbrbk	C-PRP	M109831/1098311/367125713503/10508847234558271 : 44CDA03912482230
2017-09-21	Oliver Kruse	C-PRP	M109831/1098311/367125713503/10508847234558271 : 44CDA03912482230
2017-09-21	Oliver Kruse	C-PRP	M109831/1098311/367125713503/10508847234558271 : 44CDA03912482230
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-anonymous-	F-PM1	Factor: 10508847234558271
2008-07-26	J Feitsma	F	Factor: 367125713503