109 391 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
218783	6	17.7	old
15095959	8	23.8	2008-07-26 09:17:10

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	EFE05FCF6450707A	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	EFE05FCF6450707A	2	96069	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EA40EA4B382291B0	2	77010	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	EA40EA4B382291B0	2	73031	5	3
Factored	Not Uploaded	2022-05-12	Jorge Coveiro	EA40EA4B382291B0	1	77241	5	3
Verified	Certified Good	2022-11-11	LordJulius	EA40EA4B382291B0	2	89213	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=895310000, B2=137332171046070
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	Yves Bellefeuille	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109391/218783/15095959 : EA40EA4B382291B0 Proof Not Uploaded Proof Power: 5
2022-05-12	Jorge Coveiro	C-PRP	M109391/218783 : EA40EA4B382291B0 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: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109391/218783/15095959 : EA40EA4B382291B0 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109391/218783/15095959 : EA40EA4B382291B0
2017-10-13	kkmrkkblmbrbk	C-PRP	M109391/218783/15095959 : EFE05FCF6450707A
2017-09-21	Oliver Kruse	C-PRP	M109391/218783/15095959 : EFE05FCF6450707A
2017-09-21	Oliver Kruse	C-PRP	M109391/218783/15095959 : EFE05FCF6450707A
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 15095959