12 527 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
826783	6	19.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6035 / 9201

Estimated T-Level: 43.3 ⓘ

TF below 2^139 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	44735CB3457FD7F3	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	44735CB3457FD7F3	1	629	1	3
Verified	2020-04-17	Oliver Kruse	EA89B6F80CDFAABE	1	4794	5	3
Verified	2024-07-01	kkmrkkblmbrbk	EA89B6F80CDFAABE	1	10166	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M12527/826783 : EA89B6F80CDFAABE PRP: Verified PRP without proof (small exponent)
2023-05-13	-Anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2022-12-05	Rubiksmath	NF-PM1	B1=20000000000, B2=13111711303140450
2022-11-07	Rubiksmath	NF-PM1	B1=10000000000, B2=4205839497940080
2020-04-17	Oliver Kruse	C-PRP	M12527/826783 : EA89B6F80CDFAABE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12527/826783 : 44735CB3457FD7F3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12527/826783 : 44735CB3457FD7F3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12527/826783 : 44735CB3457FD7F3 PRP without proof (not generated)