109 639 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
2384625623141737	16	51.1	old
196708855126048247	18	57.4	2010-02-18 16:56:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	729 / 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	AC9581D02CF75876	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	AC9581D02CF75876	2	91751	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	DB836FBEED952E1E	2	1829	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	DB836FBEED952E1E	2	27261	5	3
Verified	Certified Good	2022-11-11	LordJulius	DB836FBEED952E1E	2	75779	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=893574000, B2=142053530378760
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	T.Tatekawa	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109639/2384625623141737/196708855126048247 : DB836FBEED952E1E 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: 59-60
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109639/2384625623141737/196708855126048247 : DB836FBEED952E1E Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109639/2384625623141737/196708855126048247 : DB836FBEED952E1E
2017-10-13	kkmrkkblmbrbk	C-PRP	M109639/2384625623141737/196708855126048247 : AC9581D02CF75876
2017-09-21	Oliver Kruse	C-PRP	M109639/2384625623141737/196708855126048247 : AC9581D02CF75876
2017-09-21	Oliver Kruse	C-PRP	M109639/2384625623141737/196708855126048247 : AC9581D02CF75876
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-18	Rob_Dee	F-ECM	Factor: 196708855126048247