3 301 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	15346 / 40830

Estimated T-Level: 51.9 ⓘ

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

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	BFF87CD20657F2A4	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BFF87CD20657F2A4	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	BFF87CD20657F2A4	4	2046	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2D9D89DA960231E8	4	3094	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	2D9D89DA960231E8	4	2539	5	3

History

Date	User	Type	Result
2025-04-25	masser	NF-PP1	Start=154/23, B1=3100000000, B2=3096900000000
2024-05-17	masser	NF-PM1	B1=77000000000, B2=108974879871047190
2024-02-03	Wentao Huang	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : 2D9D89DA960231E8
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
2017-12-07	ATH	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : BFF87CD20657F2A4
2017-10-02	kkmrkkblmbrbk	C-PRP	M3301/691935027492278929/62144503086135674939811996503/15017388018757677336244144569913/15190004105763938916421555838927 : BFF87CD20657F2A4
2017-09-21	Oliver Kruse	C-PRP	M3301/known_factors : BFF87CD20657F2A4