608 401 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
18572048927	11	34.1	old
377047178361047	15	48.4	2014-04-03 10:55:03
21281828293859087023801665111719	32	104.1	2022-12-18 08:54:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	214 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	FF04AAD8BC7186C7	2	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	FF04AAD8BC7186C7	2	397358	1	3
Verified (Factored)	2017-12-16	ATH	FF04AAD8BC7186C7	2	468478	1	3
Verified (Factored)	2020-04-19	Oliver Kruse	86F821ABDD2DF9AD	2	434088	5	3
Verified	2022-12-18	Kevin_9611	86F821ABDD2DF9AD	3	360402	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-18	21281828293859087023801665111719	1750000	5543237700

History

Date	User	Type	Result
2022-12-18	Yeakomeister	CERT	PRP Certification Proof certified good
2022-12-18	Kevin_9611	C-PRP	M608401/18572048927/377047178361047/21281828293859087023801665111719 : 86F821ABDD2DF9AD PRP proof power = 6 PRP: Verified Proof certified good
2022-12-18	USAFSS	F-PM1	Factor: 21281828293859087023801665111719 / (P-1, B1=1750000, B2=5543237700)
2020-04-19	Oliver Kruse	C-PRP	M608401/18572048927/377047178361047 : 86F821ABDD2DF9AD PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-16	ATH	C-PRP	M608401/18572048927/377047178361047 : FF04AAD8BC7186C7 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M608401/18572048927/377047178361047 : FF04AAD8BC7186C7 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M608401/18572048927/377047178361047 : FF04AAD8BC7186C7 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=1000000, B2=30000000, E=12
2014-04-03	TJAOI	F	Factor: 377047178361047