109 961 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
6999677417	10	32.7	old
3658891356607	13	41.7	2008-07-26 09:17:11
1480480926746478974461602633193	31	100.2	2018-11-04 21:31:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	728 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	534B911732B40550	2	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	534B911732B40550	2	95797	1	3
Verified	No proof (small exponent)	2018-11-04	ATH	4529484484A5B6D2	3	12060	5	3
Verified	No proof (small exponent)	2018-11-07	GunnarLu	4529484484A5B6D2	3	56015	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	4529484484A5B6D2	3	4868	5	3
Verified	Certified Good	2022-11-11	LordJulius	4529484484A5B6D2	3	36908	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=893574000, B2=132245794510830
2025-12-18	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	mrk74	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109961/6999677417/3658891356607/1480480926746478974461602633193 : 4529484484A5B6D2 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: 57-58
2022-05-08	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109961/6999677417/3658891356607/1480480926746478974461602633193 : 4529484484A5B6D2 Proof Not Uploaded Proof Power: 5
2018-11-07	GunnarLu	C-PRP	M109961/6999677417/3658891356607/1480480926746478974461602633193 : 4529484484A5B6D2
2018-11-04	ATH	C-PRP	M109961/6999677417/3658891356607/1480480926746478974461602633193 : 4529484484A5B6D2
2018-11-04	Niels_Mache_Nextcloud	F-ECM	Factor: 1480480926746478974461602633193
2017-10-13	kkmrkkblmbrbk	C-PRP	M109961/6999677417/3658891356607 : 534B911732B40550
2017-09-21	Oliver Kruse	C-PRP	M109961/6999677417/3658891356607 : 534B911732B40550
2017-09-21	Oliver Kruse	C-PRP	M109961/6999677417/3658891356607 : 534B911732B40550
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 3658891356607