109 139 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
218279	6	17.7	old
393222405671193391	18	58.4	2008-08-26 20:12:04
192691201780547071160359	24	77.4	2014-04-22 08:43:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	738 / 1566

Estimated T-Level: 32.4 ⓘ

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	79738B29696FC979	3	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	79738B29696FC979	3	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	79738B29696FC979	3	105736	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	552A4C2A7F4C1402	3	91915	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	552A4C2A7F4C1402	3	108865	5	3
Factored	Not Uploaded	2022-05-12	Jorge Coveiro	552A4C2A7F4C1402	1	4583	5	3
Verified	Certified Good	2022-11-08	LordJulius	552A4C2A7F4C1402	3	50940	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=904569000, B2=137332171046070
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2097943848000
2022-11-08	Nick Thorpe	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109139/218279/393222405671193391/192691201780547071160359 : 552A4C2A7F4C1402 Proof Not Uploaded Proof Power: 5
2022-05-12	Jorge Coveiro	C-PRP	M109139/218279 : 552A4C2A7F4C1402 Proof Not Uploaded 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: 60-61
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	M109139/218279/393222405671193391/192691201780547071160359 : 552A4C2A7F4C1402 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109139/218279/393222405671193391/192691201780547071160359 : 552A4C2A7F4C1402
2017-10-13	kkmrkkblmbrbk	C-PRP	M109139/218279/393222405671193391/192691201780547071160359 : 79738B29696FC979
2017-10-09	Chang Chia-Tche	C-PRP	M109139/known_factors : 79738B29696FC979
2017-09-21	Oliver Kruse	C-PRP	M109139/218279/393222405671193391/192691201780547071160359 : 79738B29696FC979
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-04-22	TJAOI	F-ECM	Factor: 192691201780547071160359
2008-08-26	-anonymous-	F-ECM	Factor: 393222405671193391