109 621 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
272356443889	12	38.0	old
8424173270417548339177	22	72.8	2008-08-26 20:12:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	728 / 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)	2017-09-22	Oliver Kruse	82B4DB6AAD8A5DA6	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	82B4DB6AAD8A5DA6	2	36117	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BA30E4F2D3C5E81B	2	89819	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	BA30E4F2D3C5E81B	2	100390	5	3
Verified	Certified Good	2022-11-11	LordJulius	BA30E4F2D3C5E81B	2	69500	5	3

History

Date	User	Type	Result
2026-02-12	Jason Lynch	NF-PM1	B1=418410000, B2=229338757688040
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	M109621/272356443889/8424173270417548339177 : BA30E4F2D3C5E81B 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: 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	M109621/272356443889/8424173270417548339177 : BA30E4F2D3C5E81B Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109621/272356443889/8424173270417548339177 : BA30E4F2D3C5E81B
2017-10-13	kkmrkkblmbrbk	C-PRP	M109621/272356443889/8424173270417548339177 : 82B4DB6AAD8A5DA6
2017-09-22	Oliver Kruse	C-PRP	M109621/272356443889/8424173270417548339177 : 82B4DB6AAD8A5DA6
2017-09-21	Oliver Kruse	C-PRP	M109621/272356443889/8424173270417548339177 : 82B4DB6AAD8A5DA6
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-anonymous-	F-ECM	Factor: 8424173270417548339177