3 121 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
1123561	7	20.1	old
31509617	8	24.9	old
6805328017	10	32.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	14971 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	5FD032FEA628BD01	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	5FD032FEA628BD01	3	385	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	04106228E9B70262	3	2980	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	04106228E9B70262	3	1117	5	3

History

Date	User	Type	Result
2025-04-22	masser	NF-PP1	Start=199/43, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3121/1123561/31509617/6805328017 : 04106228E9B70262
2022-03-11	mikr	NF-PM1	B1=60000000000, B2=314806422904433460
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3121/1123561/31509617/6805328017 : 04106228E9B70262
2017-10-12	kkmrkkblmbrbk	C-PRP	M3121/1123561/31509617/6805328017 : 5FD032FEA628BD01
2017-09-21	Oliver Kruse	C-PRP	M3121/1123561/31509617/6805328017 : 5FD032FEA628BD01
2017-09-21	Oliver Kruse	C-PRP	M3121/1123561/31509617/6805328017 : 5FD032FEA628BD01
2010-07-20	-anonymous-	F	Factor: 240928869807898743300329