2 843 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
142151	6	17.1	old
187639	6	17.5	old
6764674606481895012865795514903	31	102.4	old
1727871735292355790390125204394300274903	40	130.3	2008-12-30 15:28:01
131651837454066442853735119808842981612319	42	136.6	2009-02-11 20:15:38

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	40830 / 40830
60	260000000	18096 / 105362

Estimated T-Level: 55.9 ⓘ

TF below 2^181 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	F5EFFBB7654C0716	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F5EFFBB7654C0716	5	0	1	3
Verified	2017-12-07	ATH	F5EFFBB7654C0716	5	1250	1	3
Verified	2020-04-17	Oliver Kruse	1583180CE236C957	5	942	5	3
Verified	2024-02-03	Wentao Huang	1583180CE236C957	5	2302	5	3

History

Date	User	Type	Result
2024-06-17	masser	NF-PM1	B1=100000000000, B2=113422011560577720
2024-02-03	Wentao Huang	C-PRP	M2843/142151/187639/6764674606481895012865795514903/1727871735292355790390125204394300274903/131651837454066442853735119808842981612319 : 1583180CE236C957 PRP: Verified PRP without proof (small exponent)
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2843/142151/187639/6764674606481895012865795514903/1727871735292355790390125204394300274903/131651837454066442853735119808842981612319 : 1583180CE236C957 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2843/142151/187639/6764674606481895012865795514903/1727871735292355790390125204394300274903/131651837454066442853735119808842981612319 : F5EFFBB7654C0716 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2843/142151/187639/6764674606481895012865795514903/1727871735292355790390125204394300274903/131651837454066442853735119808842981612319 : F5EFFBB7654C0716 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2843/known_factors : F5EFFBB7654C0716 PRP without proof (not generated)
2009-02-11	Matthias Wurtinger	F-ECM	Factor: 131651837454066442853735119808842981612319
2008-12-30	-Anonymous-	F-ECM	Factor: 1727871735292355790390125204394300274903