109 321 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
20039632511	11	34.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	734 / 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	6B58469F4C8048AA	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	6B58469F4C8048AA	1	79064	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C922C449D7E462E0	1	53092	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	C922C449D7E462E0	1	106332	5	3
Verified	Certified Good	2022-11-11	LordJulius	C922C449D7E462E0	1	10532	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=422944000, B2=229338757688040
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2943700209450
2022-11-11	Jim Donovan	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	Proof Certified Good 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: 59-60
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: 57-58
2022-04-15	LordJulius	C-PRP	Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109321/20039632511 : C922C449D7E462E0
2017-10-13	kkmrkkblmbrbk	C-PRP	M109321/20039632511 : 6B58469F4C8048AA
2017-09-21	Oliver Kruse	C-PRP	M109321/20039632511 : 6B58469F4C8048AA
2017-09-21	Oliver Kruse	C-PRP	M109321/20039632511 : 6B58469F4C8048AA
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12