109 387 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
9756664079	10	33.2	old
43862090504751254497	20	65.2	2010-02-23 19:58:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	754 / 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)	2017-09-22	Oliver Kruse	8570D63C15911217	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	8570D63C15911217	2	41669	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1BC1940F24465B9C	2	17404	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	1BC1940F24465B9C	2	1732	5	3
Verified	Certified Good	2022-11-11	LordJulius	1BC1940F24465B9C	2	74293	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=895456000, B2=137281887853110
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	M109387/9756664079/43862090504751254497 : 1BC1940F24465B9C 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	M109387/9756664079/43862090504751254497 : 1BC1940F24465B9C Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109387/9756664079/43862090504751254497 : 1BC1940F24465B9C
2017-10-13	kkmrkkblmbrbk	C-PRP	M109387/9756664079/43862090504751254497 : 8570D63C15911217
2017-09-22	Oliver Kruse	C-PRP	M109387/9756664079/43862090504751254497 : 8570D63C15911217
2017-09-21	Oliver Kruse	C-PRP	M109387/9756664079/43862090504751254497 : 8570D63C15911217
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-23	Rob_Dee	F-ECM	Factor: 43862090504751254497