109 441 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
5253169	7	22.3	old
7687682169473	13	42.8	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	9A82FD19F156C686	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	9A82FD19F156C686	2	41114	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C7DFA1D251E5C21F	2	49271	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	C7DFA1D251E5C21F	2	35666	5	3
Verified	Certified Good	2022-11-11	LordJulius	C7DFA1D251E5C21F	2	5375	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=421123000, B2=229338757688040
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	x-s-y-	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109441/5253169/7687682169473 : C7DFA1D251E5C21F 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: 59-60
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109441/5253169/7687682169473 : C7DFA1D251E5C21F Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109441/5253169/7687682169473 : C7DFA1D251E5C21F
2017-10-13	kkmrkkblmbrbk	C-PRP	M109441/5253169/7687682169473 : 9A82FD19F156C686
2017-09-21	Oliver Kruse	C-PRP	M109441/5253169/7687682169473 : 9A82FD19F156C686
2017-09-21	Oliver Kruse	C-PRP	M109441/5253169/7687682169473 : 9A82FD19F156C686
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 7687682169473