2 898 947 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
341408988191	12	38.3	old
27350754043059205798463	23	74.5	2023-01-29 06:57:14

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-23	alpertron	E8D9D62DDC1074D9	1	1747657	5	3
Verified (Factored)	2017-11-17	Oliver Kruse	E8D9D62DDC1074D9	1	2188748	5	3
Verified	2023-01-31	LordJulius	E8D9D62DDC1074D9	2	1773985	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-29	27350754043059205798463	72000	281496600
2023-02-02	27350754043059205798463	360000	282695490

History

Date	User	Type	Result
2023-02-02	USAFSS	F-PM1	Factor: 27350754043059205798463 / (P-1, B1=360000, B2=282695490)
2023-01-31	Jonathan Webb	CERT	PRP Certification Proof certified good
2023-01-31	LordJulius	C-PRP	M2898947/341408988191/27350754043059205798463 : E8D9D62DDC1074D9 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-29	Lisander Viaene	F-PM1	Factor: 27350754043059205798463 / (P-1, B1=72000, B2=281496600)
2017-11-17	Oliver Kruse	C-PRP	M2898947/341408988191 : E8D9D62DDC1074D9 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-23	alpertron	C-PRP	M2898947/341408988191 : E8D9D62DDC1074D9 PRP: Verified (Factored) PRP without proof (not generated)