109 547 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
3742125521	10	31.8	old
890009781433	12	39.7	2008-07-26 09:17:11
1186853544581906769045581041	28	89.9	2017-12-15 15:28:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	560 / 1566

Estimated T-Level: 31.8 ⓘ

TF below 2^101 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-22	Oliver Kruse	EFF02152B0410821	2	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	EFF02152B0410821	2	108388	1	3
Verified	No proof (small exponent)	2017-12-17	Oliver Kruse	41D86E4CCF3F9D3A	3	25628	5	3
Verified	No proof (small exponent)	2017-12-18	kkmrkkblmbrbk	41D86E4CCF3F9D3A	3	93909	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	41D86E4CCF3F9D3A	3	28623	5	3
Verified	Certified Good	2022-11-11	LordJulius	41D86E4CCF3F9D3A	3	104519	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=893574000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2384204282460
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109547/3742125521/890009781433/1186853544581906769045581041 : 41D86E4CCF3F9D3A 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	M109547/3742125521/890009781433/1186853544581906769045581041 : 41D86E4CCF3F9D3A Proof Not Uploaded Proof Power: 5
2017-12-18	kkmrkkblmbrbk	C-PRP	M109547/3742125521/890009781433/1186853544581906769045581041 : 41D86E4CCF3F9D3A
2017-12-17	Oliver Kruse	C-PRP	M109547/3742125521/890009781433/1186853544581906769045581041 : 41D86E4CCF3F9D3A
2017-12-15	TJAOI	F-ECM	Factor: 1186853544581906769045581041
2017-10-13	kkmrkkblmbrbk	C-PRP	M109547/3742125521/890009781433 : EFF02152B0410821
2017-09-22	Oliver Kruse	C-PRP	M109547/3742125521/890009781433 : EFF02152B0410821
2017-09-21	Oliver Kruse	C-PRP	M109547/3742125521/890009781433 : EFF02152B0410821
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 890009781433