109 267 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
98995903	8	26.6	old
147169874595031	15	47.1	2008-07-26 09:17:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	735 / 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	84A7285BABE4498F	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	84A7285BABE4498F	2	78925	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7A661AEC30676211	2	32284	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	7A661AEC30676211	2	49680	5	3
Verified	Certified Good	2022-11-08	LordJulius	7A661AEC30676211	2	105776	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=899849000, B2=137332171046070
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2095666793220
2022-11-08	Dry Creek Photo	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109267/98995903/147169874595031 : 7A661AEC30676211 Proof Not Uploaded 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: 60-61
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	M109267/98995903/147169874595031 : 7A661AEC30676211 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109267/98995903/147169874595031 : 7A661AEC30676211
2017-10-13	kkmrkkblmbrbk	C-PRP	M109267/98995903/147169874595031 : 84A7285BABE4498F
2017-09-21	Oliver Kruse	C-PRP	M109267/98995903/147169874595031 : 84A7285BABE4498F
2017-09-21	Oliver Kruse	C-PRP	M109267/98995903/147169874595031 : 84A7285BABE4498F
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F-PM1	Factor: 147169874595031