5 171 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
10343	5	13.3	old
1340132909529404440460741315836449837910783345874265255977	58	189.8	2024-02-03 23:37:42

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	13924 / 16550

Estimated T-Level: 49.2 ⓘ

TF below 2^158 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	671E3105BAF537DF	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	671E3105BAF537DF	1	1404	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	944C41D18011ADE0	1	2419	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	944C41D18011ADE0	1	2057	5	3
Verified	2024-02-05	Ryan Propper	944C41D18011ADE0	2	1152	5	3

History

Date	User	Type	Result
2024-02-05	Ryan Propper	C-PRP	M5171/10343/1340132909529404440460741315836449837910783345874265255977 : 944C41D18011ADE0 PRP: Verified PRP without proof (small exponent)
2024-02-03	Ryan Propper	F-ECM	Factor: 1340132909529404440460741315836449837910783345874265255977 / (ECM curve 8, B1=260000000, B2=7300371108030, Edwards Sigma=5507393797811752)
2023-10-06	mikr	NF-PM1	B1=500000000000, B2=1311693078464168400
2023-06-15	-Anonymous-	NF-PM1	B1=61000000000, B2=253675805559976800
2022-05-12	Jorge Coveiro	C-PRP	M5171/10343 : 944C41D18011ADE0 PRP: Verified PRP without proof (small exponent)
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242033299467960
2020-04-17	Oliver Kruse	C-PRP	M5171/10343 : 944C41D18011ADE0 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5171/10343 : 671E3105BAF537DF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5171/10343 : 671E3105BAF537DF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5171/10343 : 671E3105BAF537DF PRP without proof (not generated)