109 147 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
560725504793516161908419969	27	88.9	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	751 / 1566

Estimated T-Level: 32.4 ⓘ

TF below 2^103 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	8B07D1AB39CE1A48	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	8B07D1AB39CE1A48	1	73940	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5347C4C23DC289B9	1	107106	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	5347C4C23DC289B9	1	67374	5	3
Verified	Certified Good	2022-11-08	LordJulius	5347C4C23DC289B9	1	13157	5	3

History

Date	User	Type	Result
2026-02-09	Jason Lynch	NF-PM1	B1=421441000, B2=229429634083650
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2097943848000
2022-11-08	Nick Thorpe	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109147/560725504793516161908419969 : 5347C4C23DC289B9 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: 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
2022-05-07	LordJulius	NF	no factor TF: 1-57
2022-04-15	LordJulius	C-PRP	M109147/560725504793516161908419969 : 5347C4C23DC289B9 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109147/560725504793516161908419969 : 5347C4C23DC289B9
2018-10-26	J.R. Allen	NF	no factor TF: 1-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109147/560725504793516161908419969 : 8B07D1AB39CE1A48
2017-09-21	Oliver Kruse	C-PRP	M109147/560725504793516161908419969 : 8B07D1AB39CE1A48
2017-09-21	Oliver Kruse	C-PRP	M109147/560725504793516161908419969 : 8B07D1AB39CE1A48
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
1999-09-14	-anonymous-	NF	no factor TF: 52-53