894 559 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
10766196476801	14	43.3	old
18236650758218143	17	54.0	2014-09-28 20:21:10
35132050596486994912506391001	29	94.8	2024-04-17 12:54:50

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status		Date	User	Residue	Number of known factors	Shift	Type	Base
composite	Verified (Factored)	2017-09-28	Oliver Kruse	884FB8C0BD2837C4	2	0	1	3
composite	Verified (Factored)	2017-10-14	Oliver Kruse	884FB8C0BD2837C4	2	703368	1	3
composite	Verified (Factored)	2017-12-20	ATH	884FB8C0BD2837C4	2	130858	1	3
composite	Verified (Factored)	2020-04-23	Oliver Kruse	37B3D2FC58FA5862	2	391863	5	3
composite	Verified	2024-04-17	Anton Tsvetkov	37B3D2FC58FA5862	3	629792	5	3

P-1 factors

Date	Factor	B1	B2
2014-09-28	18236650758218143	300000	10000000
2024-04-17	35132050596486994912506391001	8000000	10032425130

History

Date	User	Type	Result
2024-04-17	Joe S.	CERT	PRP Certification Proof certified good
2024-04-17	Anton Tsvetkov	C-PRP	M894559/10766196476801/18236650758218143/35132050596486994912506391001 : 37B3D2FC58FA5862 PRP proof power = 6 PRP: Verified Proof certified good
2024-04-17	Anton Tsvetkov	F-PM1	Factor: 35132050596486994912506391001 / (P-1, B1=8000000, B2=10032425130)
2020-04-23	Oliver Kruse	C-PRP	M894559/10766196476801/18236650758218143 : 37B3D2FC58FA5862 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-20	ATH	C-PRP	M894559/10766196476801/18236650758218143 : 884FB8C0BD2837C4 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M894559/10766196476801/18236650758218143 : 884FB8C0BD2837C4 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M894559/10766196476801/18236650758218143 : 884FB8C0BD2837C4 PRP: Verified (Factored) PRP without proof (not generated)
2014-09-28	alpertron	F-PM1	Factor: 18236650758218143 / (P-1, B1=300000, B2=10000000, E=12)