8 521 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2611675093146863713541108778540140113	37	121.0	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	6938 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	ECA19A353B06A291	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	ECA19A353B06A291	1	3705	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	27419FCDC9496373	1	2296	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	27419FCDC9496373	1	5086	5	3

History

Date	User	Type	Result
2025-05-10	masser	NF-PP1	Start=193/61, B1=1300000000, B2=1298700000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M8521/2611675093146863713541108778540140113 : 27419FCDC9496373
2023-08-19	JacobZ	NF-PM1	B1=69000000000, B2=265422648792401100
2020-04-17	Oliver Kruse	C-PRP	M8521/2611675093146863713541108778540140113 : 27419FCDC9496373
2017-10-12	kkmrkkblmbrbk	C-PRP	M8521/2611675093146863713541108778540140113 : ECA19A353B06A291
2017-09-21	Oliver Kruse	C-PRP	M8521/2611675093146863713541108778540140113 : ECA19A353B06A291
2017-09-21	Oliver Kruse	C-PRP	M8521/2611675093146863713541108778540140113 : ECA19A353B06A291
2003-02-16	-anonymous-	NF-PM1	B1=4290000000
2002-12-16	-anonymous-	NF	no factor TF: 1-57
2002-10-19	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-24	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-09	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-09-10	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-23	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-25	-anonymous-	NF	no factor TF: 1-56
2000-02-23	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53