9 041 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
5100325560472481	16	52.2	old
41572170385754056871850442210943264687	38	125.0	2011-02-01 16:40:29

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	7038 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^152 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	2C74B026A71BB553	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	2C74B026A71BB553	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	2C74B026A71BB553	2	4714	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3ED68AE88E4006F2	2	5993	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	3ED68AE88E4006F2	2	4937	5	3

History

Date	User	Type	Result
2025-04-22	masser	NF-PP1	Start=183/59, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9041/41572170385754056871850442210943264687/5100325560472481 : 3ED68AE88E4006F2
2023-07-18	JacobZ	NF-PM1	B1=64000000000, B2=263527252205367150
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9041/5100325560472481/41572170385754056871850442210943264687 : 3ED68AE88E4006F2
2017-12-07	ATH	C-PRP	M9041/5100325560472481/41572170385754056871850442210943264687 : 2C74B026A71BB553
2017-10-02	kkmrkkblmbrbk	C-PRP	M9041/5100325560472481/41572170385754056871850442210943264687 : 2C74B026A71BB553
2017-09-21	Oliver Kruse	C-PRP	M9041/known_factors : 2C74B026A71BB553
2011-02-01	James Hintz	F-ECM	Factor: 41572170385754056871850442210943264687