109 519 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
280587679	9	28.1	old
18340651059659293993	20	64.0	2010-02-18 11:35:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	716 / 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	9981A666F46C2DD5	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	9981A666F46C2DD5	2	102622	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	50BCB51CCE711A8D	2	91235	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	50BCB51CCE711A8D	2	1935	5	3
Verified	Certified Good	2022-11-11	LordJulius	50BCB51CCE711A8D	2	39253	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894224000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2384204282460
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109519/280587679/18340651059659293993 : 50BCB51CCE711A8D 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: 58-59
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109519/280587679/18340651059659293993 : 50BCB51CCE711A8D Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109519/280587679/18340651059659293993 : 50BCB51CCE711A8D
2017-10-13	kkmrkkblmbrbk	C-PRP	M109519/280587679/18340651059659293993 : 9981A666F46C2DD5
2017-09-21	Oliver Kruse	C-PRP	M109519/280587679/18340651059659293993 : 9981A666F46C2DD5
2017-09-21	Oliver Kruse	C-PRP	M109519/280587679/18340651059659293993 : 9981A666F46C2DD5
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-18	Rob_Dee	F-ECM	Factor: 18340651059659293993