7 561 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
589759	6	19.2	old
10113569344313	14	43.2	old
905511426023959	15	49.7	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	12771 / 16550

Estimated T-Level: 48.9 ⓘ

TF below 2^157 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	006114DBF28B92D1	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	006114DBF28B92D1	3	231	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	34402FEE8C7A3F73	3	7265	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	34402FEE8C7A3F73	3	372	5	3

History

Date	User	Type	Result
2025-04-11	masser	NF-PP1	Start=96/31, B1=830000000, B2=829170000000
2025-03-28	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-19	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-12-06	yuriy_5-1	NF-PM1	B1=12000000000, B2=28109516288023170
2024-02-03	Wentao Huang	C-PRP	M7561/589759/10113569344313/905511426023959 : 34402FEE8C7A3F73
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7561/589759/10113569344313/905511426023959 : 34402FEE8C7A3F73
2017-10-12	kkmrkkblmbrbk	C-PRP	M7561/589759/10113569344313/905511426023959 : 006114DBF28B92D1
2017-09-21	Oliver Kruse	C-PRP	M7561/589759/10113569344313/905511426023959 : 006114DBF28B92D1
2017-09-21	Oliver Kruse	C-PRP	M7561/589759/10113569344313/905511426023959 : 006114DBF28B92D1