16 103 819 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
3666750618693185852201423	25	81.6	2018-08-04 23:25:42

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	E0C49D55B760DE57	1429060
Verified (Factored)	2006-08-14	Ars Technica Team Prime Rib	E0C49D55B760DE57	12517129

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-01-17	Perig	1135A7C6E94BF826	1	15727848	5	3

P-1 factors

Date	Factor	B1	B2
2018-08-04	3666750618693185852201423	470000	13747500

History

Date	User	Type	Result
2024-01-17	Peter Mayes	CERT	PRP Certification Proof certified good
2024-01-17	Perig	C-PRP	M16103819/3666750618693185852201423 : 1135A7C6E94BF826 PRP proof power = 8 PRP: Verified Proof certified good
2023-11-30	nordi	NF-PM1	B1=500000, B2=265291950
2023-11-21	nordi	NF-PM1	B1=500000
2023-09-08	nordi	NF-PM1	B1=400000
2018-08-04	Squeeky_Squirrel	F-PM1	Factor: 3666750618693185852201423 / (P-1, B1=470000, B2=13747500, E=12)
2017-09-24	ramgeis	NF	no factor from 2^68 to 2^69
2016-05-23	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