12 527 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
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	6231 / 9201

Estimated T-Level: 43.4 ⓘ

TF below 2^139 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	44735CB3457FD7F3	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	44735CB3457FD7F3	1	629	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	EA89B6F80CDFAABE	1	4794	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	EA89B6F80CDFAABE	1	10166	5	3

History

Date	User	Type	Result
2025-03-14	masser	NF-PP1	Start=132/61, B1=430000000, B2=429570000000
2025-02-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12527/826783 : EA89B6F80CDFAABE
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
2017-10-12	kkmrkkblmbrbk	C-PRP	M12527/826783 : 44735CB3457FD7F3
2017-09-21	Oliver Kruse	C-PRP	M12527/826783 : 44735CB3457FD7F3
2017-09-21	Oliver Kruse	C-PRP	M12527/826783 : 44735CB3457FD7F3