353 201 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
543769574687850361	18	58.9	2014-10-10 12:43:51
2789515867410842657	19	61.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	7C9EA2E46C3750EB	2	0	1	3
Verified	2017-10-13	Oliver Kruse	7C9EA2E46C3750EB	2	154828	1	3
Verified	2017-12-15	ATH	7C9EA2E46C3750EB	2	124145	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	C16E9C76A3F1A3__	2	347808	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-16	2789515867410842657	1061	93383

History

Date	User	Type	Result
2023-12-03	USAFSS	NF-PM1	B1=1530000, B2=5367308100
2021-03-16	manrus	F-PM1	Factor: 2789515867410842657 / (P-1, B1=1061, B2=93383)
2020-04-18	Oliver Kruse	C-PRP	M353201/543769574687850361/2789515867410842657 : C16E9C76A3F1A3__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-15	ATH	C-PRP	M353201/543769574687850361/2789515867410842657 : 7C9EA2E46C3750EB PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M353201/2789515867410842657/543769574687850361 : 7C9EA2E46C3750EB PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M353201/2789515867410842657/543769574687850361 : 7C9EA2E46C3750EB PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-23	Oliver Kruse	C-PRP	M353201/2789515867410842657/543769574687850361 : 7C9EA2E46C3750EB PRP without proof (not generated)
2014-10-10	TJAOI	F-ECM	Factor: 543769574687850361 / (ECM curve 15, B1=50000, B2=5000000)