4 831 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
989629142336959	15	49.8	old
1177372161145866353	19	60.0	old
35848944330467551067657730466924489654159	41	134.7	2009-05-10 00:38:38
2062632013220004320077515641423383041007525583213801	52	170.5	2020-10-14 15:49:12

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	13677 / 40830

Estimated T-Level: 51.7 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	11A589B8EC1F5904	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	11A589B8EC1F5904	3	0	1	3
Verified (Factored)	2017-12-07	ATH	11A589B8EC1F5904	3	1764	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	48A568979A1DC8D0	3	3617	5	3
Verified	2020-10-14	mnd9	48A568979A1DC8D0	4	2271	5	3
Verified	2020-10-15	tottenhoff	48A568979A1DC8D0	4	2088	5	3

History

Date	User	Type	Result
2023-05-30	-Anonymous-	NF-PM1	B1=66000000000, B2=662102605034570700
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-15	tottenhoff	C-PRP	M4831/989629142336959/1177372161145866353/35848944330467551067657730466924489654159/2062632013220004320077515641423383041007525583213801 : 48A568979A1DC8D0 PRP: Verified PRP without proof (small exponent)
2020-10-14	mnd9	C-PRP	M4831/989629142336959/1177372161145866353/35848944330467551067657730466924489654159/2062632013220004320077515641423383041007525583213801 : 48A568979A1DC8D0 PRP: Verified PRP without proof (small exponent)
2020-10-14	Ryan Propper	F-ECM	Factor: 2062632013220004320077515641423383041007525583213801 / (ECM curve 1, B1=260000000, B2=3104064163218, Sigma=782549747154944540)
2020-04-17	Oliver Kruse	C-PRP	M4831/989629142336959/1177372161145866353/35848944330467551067657730466924489654159 : 48A568979A1DC8D0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4831/989629142336959/1177372161145866353/35848944330467551067657730466924489654159 : 11A589B8EC1F5904 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4831/989629142336959/1177372161145866353/35848944330467551067657730466924489654159 : 11A589B8EC1F5904 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4831/known_factors : 11A589B8EC1F5904 PRP without proof (not generated)
2009-05-10	unconnected	F-ECM	Factor: 35848944330467551067657730466924489654159