109 937 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
401020053263	12	38.5	old
209129768770615481497	21	67.5	2010-04-23 22:10:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	736 / 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	34C06C1BD82A235C	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	34C06C1BD82A235C	2	52317	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4F19BE7522213084	2	60869	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	4F19BE7522213084	2	43184	5	3
Verified	Certified Good	2022-11-11	LordJulius	4F19BE7522213084	2	109387	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894943000, B2=132197372126820
2025-12-18	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-13	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109937/401020053263/209129768770615481497 : 4F19BE7522213084 Proof Not Uploaded Proof Power: 5
2022-05-08	LordJulius	NF	no factor TF: 62-63
2022-05-08	LordJulius	NF	no factor TF: 60-61
2022-05-08	LordJulius	NF	no factor TF: 61-62
2022-05-08	LordJulius	NF	no factor TF: 59-60
2022-05-08	LordJulius	NF	no factor TF: 58-59
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109937/401020053263/209129768770615481497 : 4F19BE7522213084 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109937/401020053263/209129768770615481497 : 4F19BE7522213084
2017-10-13	kkmrkkblmbrbk	C-PRP	M109937/401020053263/209129768770615481497 : 34C06C1BD82A235C
2017-09-21	Oliver Kruse	C-PRP	M109937/401020053263/209129768770615481497 : 34C06C1BD82A235C
2017-09-21	Oliver Kruse	C-PRP	M109937/401020053263/209129768770615481497 : 34C06C1BD82A235C
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-04-23	James Hintz	F-ECM	Factor: 209129768770615481497