5 867 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
16239857	8	24.0	old
347686070569	12	38.3	old
383316690121	12	38.5	old
152583036947342257145713	24	77.0	old
3023663305826402254545856996145150033753	40	131.2	2020-11-14 07:03:32

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	3885 / 16550

Estimated T-Level: 46.2 ⓘ

TF below 2^148 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	3E408F35242D6664	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	3E408F35242D6664	4	0	1	3
Verified (Factored)	2017-12-07	ATH	3E408F35242D6664	4	5022	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	BE214232EAFB56AD	4	5491	5	3
Verified	2020-11-14	Jinyuan Wang	BE214232EAFB56AD	5	227	5	3
Verified	2020-11-17	fre_games	BE214232EAFB56AD	5	1064	5	3

History

Date	User	Type	Result
2023-07-23	-Anonymous-	NF-PM1	B1=42000000000, B2=171618937469779800
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-11-17	fre_games	C-PRP	M5867/16239857/347686070569/383316690121/152583036947342257145713/3023663305826402254545856996145150033753 : BE214232EAFB56AD PRP: Verified PRP without proof (small exponent)
2020-11-14	Jinyuan Wang	C-PRP	M5867/16239857/347686070569/383316690121/152583036947342257145713/3023663305826402254545856996145150033753 : BE214232EAFB56AD PRP: Verified PRP without proof (small exponent)
2020-11-14	Ryan Propper	F-ECM	Factor: 3023663305826402254545856996145150033753 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=977640634180345960)
2020-04-17	Oliver Kruse	C-PRP	M5867/16239857/347686070569/383316690121/152583036947342257145713 : BE214232EAFB56AD PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5867/16239857/347686070569/383316690121/152583036947342257145713 : 3E408F35242D6664 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5867/16239857/347686070569/383316690121/152583036947342257145713 : 3E408F35242D6664 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5867/known_factors : 3E408F35242D6664 PRP without proof (not generated)