7 541 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
9711963409	10	33.2	old
6856081223769943835279953030060993	34	112.4	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	11638 / 16550

Estimated T-Level: 48.5 ⓘ

TF below 2^156 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	661797370114824F	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	661797370114824F	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	661797370114824F	2	1398	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0007736A5A413F04	2	2250	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	0007736A5A413F04	2	2833	5	3

History

Date	User	Type	Result
2025-04-07	masser	NF-PP1	Start=87/67, B1=830000000, B2=829170000000
2025-03-28	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-18	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-11-09	masser	NF-PM1	B1=50000000000, B2=201265614041391900
2024-02-03	Wentao Huang	C-PRP	M7541/9711963409/6856081223769943835279953030060993 : 0007736A5A413F04
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7541/9711963409/6856081223769943835279953030060993 : 0007736A5A413F04
2017-12-07	ATH	C-PRP	M7541/9711963409/6856081223769943835279953030060993 : 661797370114824F
2017-10-02	kkmrkkblmbrbk	C-PRP	M7541/9711963409/6856081223769943835279953030060993 : 661797370114824F
2017-09-21	Oliver Kruse	C-PRP	M7541/known_factors : 661797370114824F