109 741 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
190893571379657	15	47.4	old
189284552566593864366396633721	30	97.3	2024-09-16 19:40:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	731 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	613CB1C5C9F1DB29	1	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	613CB1C5C9F1DB29	1	108644	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	9089B0152C34FDCD	1	60140	5	3
Factored	Not Uploaded	2022-04-15	LordJulius	9089B0152C34FDCD	1	66169	5	3
Factored	Certified Good	2022-11-11	LordJulius	9089B0152C34FDCD	1	64520	5	3
Verified	Certified Good	2024-09-16	cramsey87	9089B0152C34FDCD	2	11255	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=2386922057520
2024-09-17	LOBES	CERT	Proof certified good
2024-09-16	cramsey87	C-PRP	M109741/190893571379657/189284552566593864366396633721 : 9089B0152C34FDCD Proof Certified Good Proof Power: 5
2024-09-16	cramsey87	F-ECM	Factor: 189284552566593864366396633721 / ECM curve 4, B1=1125960, B2=4962105720, Edwards Sigma=4781295060020349
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109741/190893571379657 : 9089B0152C34FDCD Proof Certified Good Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 62-63
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: 60-61
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109741/190893571379657 : 9089B0152C34FDCD Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109741/190893571379657 : 9089B0152C34FDCD
2017-10-13	kkmrkkblmbrbk	C-PRP	M109741/190893571379657 : 613CB1C5C9F1DB29
2017-09-21	Oliver Kruse	C-PRP	M109741/190893571379657 : 613CB1C5C9F1DB29
2017-09-21	Oliver Kruse	C-PRP	M109741/190893571379657 : 613CB1C5C9F1DB29
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12