2 801 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
18597939751	11	34.1	old
150370994330477677378822052615659563390455160977	48	156.7	2020-01-16 19:36:24
58107484520540761623989140070350054027571993057209	50	165.3	2020-01-16 19:36:18

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	16136 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	E8B69EA132ACA7F9	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	E8B69EA132ACA7F9	1	1213	1	3
Verified	2020-01-16	nordi	15B7BBC9071696A5	3	433	5	3
Verified	2020-01-19	fre_games	15B7BBC9071696A5	3	890	5	3
Verified	2020-04-17	Oliver Kruse	15B7BBC9071696A5	3	2340	5	3

History

Date	User	Type	Result
2024-06-15	masser	NF-PM1	B1=100000000000, B2=61655864613893550
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2801/18597939751/150370994330477677378822052615659563390455160977/58107484520540761623989140070350054027571993057209 : 15B7BBC9071696A5 PRP: Verified PRP without proof (small exponent)
2020-01-19	fre_games	C-PRP	M2801/18597939751/58107484520540761623989140070350054027571993057209/150370994330477677378822052615659563390455160977 : 15B7BBC9071696A5 PRP: Verified PRP without proof (small exponent)
2020-01-16	nordi	C-PRP	M2801/18597939751/150370994330477677378822052615659563390455160977/58107484520540761623989140070350054027571993057209 : 15B7BBC9071696A5 PRP: Verified PRP without proof (small exponent)
2020-01-16	Ryan Propper	F-ECM	Factor: 150370994330477677378822052615659563390455160977 / (ECM curve 1, B1=260000000)
2020-01-16	Ryan Propper	F-ECM	Factor: 58107484520540761623989140070350054027571993057209 / (ECM curve 1, B1=260000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2801/18597939751 : E8B69EA132ACA7F9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2801/18597939751 : E8B69EA132ACA7F9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2801/18597939751 : E8B69EA132ACA7F9 PRP without proof (not generated)