12 889 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
203826647	9	27.6	old
142256025491581358908706332681794361	36	116.8	2012-08-18 23:00:18
662436485480226383271417044707370528382234361	45	148.9	2023-05-15 09:14:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1672 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	A1836846BA0431B8	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	A1836846BA0431B8	2	0	1	3
Verified (Factored)	2017-12-07	ATH	A1836846BA0431B8	2	3516	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F4185ACB3F3F6CE1	2	4014	5	3
Verified	2023-05-15	JacobZ	F4185ACB3F3F6CE1	3	4244	5	3
Verified	2023-05-15	retsu	F4185ACB3F3F6CE1	3	2900	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-15	662436485480226383271417044707370528382234361	8600000000	36024966470342848
2023-05-27	662436485480226383271417044707370528382234361	100000000000	120417199046794656

History

Date	User	Type	Result
2023-05-27	-Anonymous-	F-PM1	Factor: 662436485480226383271417044707370528382234361 / (P-1, B1=100000000000, B2=120417199046794650)
2023-05-15	retsu	C-PRP	M12889/203826647/142256025491581358908706332681794361/662436485480226383271417044707370528382234361 : F4185ACB3F3F6CE1 PRP: Verified PRP without proof (small exponent)
2023-05-15	JacobZ	C-PRP	M12889/203826647/142256025491581358908706332681794361/662436485480226383271417044707370528382234361 : F4185ACB3F3F6CE1 PRP: Verified PRP without proof (small exponent)
2023-05-15	JacobZ	F-PM1	Factor: 662436485480226383271417044707370528382234361 / (P-1, B1=8600000000, B2=36024966470342850)
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12889/203826647/142256025491581358908706332681794361 : F4185ACB3F3F6CE1 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12889/203826647/142256025491581358908706332681794361 : A1836846BA0431B8 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12889/203826647/142256025491581358908706332681794361 : A1836846BA0431B8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12889/203826647/142256025491581358908706332681794361 : A1836846BA0431B8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12889/203826647/142256025491581358908706332681794361 : A1836846BA0431B8 PRP without proof (not generated)
2012-08-18	BloodIce	F-ECM	Factor: 142256025491581358908706332681794361