3 301 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
691935027492278929	18	59.3	old
62144503086135674939811996503	29	95.6	old
15017388018757677336244144569913	32	103.6	old
15190004105763938916421555838927	32	103.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	14757 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	BFF87CD20657F2A4	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BFF87CD20657F2A4	4	0	1	3
Verified	2017-12-07	ATH	BFF87CD20657F2A4	4	2046	1	3
Verified	2020-04-17	Oliver Kruse	2D9D89DA960231E8	4	3094	5	3
Verified	2024-02-03	Wentao Huang	2D9D89DA960231E8	4	2539	5	3

History

Date	User	Type	Result
2024-05-17	masser	NF-PM1	B1=77000000000, B2=108974879871047190
2024-02-03	Wentao Huang	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : 2D9D89DA960231E8 PRP: Verified PRP without proof (small exponent)
2021-12-31	LordJulius	NF-PM1	B1=10000000000, B2=1081780886416230
2021-12-31	LordJulius	NF-PM1	B1=10000000000, B2=1002406683898620
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : 2D9D89DA960231E8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : BFF87CD20657F2A4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : BFF87CD20657F2A4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3301/known_factors : BFF87CD20657F2A4 PRP without proof (not generated)