109 379 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
875033	6	19.7	old
933092984475088319	18	59.7	2008-08-26 20:12:04
507388753637205168521412023	27	88.7	2014-04-22 08:43:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	752 / 1566

Estimated T-Level: 32.4 ⓘ

TF below 2^103 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	4BB121CC8CE40685	3	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	4BB121CC8CE40685	3	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	4BB121CC8CE40685	3	90155	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	93CACA480375AB84	3	21335	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	93CACA480375AB84	3	66009	5	3
Verified	Certified Good	2022-11-11	LordJulius	93CACA480375AB84	3	14302	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=895748000, B2=137332171046070
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2943700209450
2022-11-11	Yves Bellefeuille	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109379/875033/933092984475088319/507388753637205168521412023 : 93CACA480375AB84 Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 60-61
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	M109379/875033/933092984475088319/507388753637205168521412023 : 93CACA480375AB84 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109379/875033/933092984475088319/507388753637205168521412023 : 93CACA480375AB84
2017-10-13	kkmrkkblmbrbk	C-PRP	M109379/875033/933092984475088319/507388753637205168521412023 : 4BB121CC8CE40685
2017-10-09	Chang Chia-Tche	C-PRP	M109379/known_factors : 4BB121CC8CE40685
2017-09-21	Oliver Kruse	C-PRP	M109379/known_factors : 4BB121CC8CE40685
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-04-22	TJAOI	F-ECM	Factor: 507388753637205168521412023
2008-08-26	-anonymous-	F-ECM	Factor: 933092984475088319