16 104 791 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
33621456490210828553263	23	74.8	2018-08-05 17:40:17

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Frank Hornung	39007AF504617783	11206484
Verified (Factored)	2006-03-28	Ars Technica Team Prime Rib	39007AF504617783	3489658

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-01-15	Perig	931A5B07E63867E0	1	6742364	5	3

P-1 factors

Date	Factor	B1	B2
2018-08-05	33621456490210828553263	800000	27400000

History

Date	User	Type	Result
2024-01-17	LOBES	CERT	PRP Certification Proof certified good
2024-01-15	Perig	C-PRP	M16104791/33621456490210828553263 : 931A5B07E63867E0 PRP proof power = 8 PRP: Verified Proof certified good
2018-08-05	Squeeky_Squirrel	F-PM1	Factor: 33621456490210828553263 / (P-1, B1=800000, B2=27400000, E=12)
2017-09-24	ramgeis	NF	no factor from 2^68 to 2^69
2016-05-31	mikr	NF	no factor from 2^67 to 2^68
2016-03-16	Mark Rose	NF	no factor from 2^65 to 2^66
2014-08-08	Nesowa	NF	no factor from 2^66 to 2^67