3 851 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
7703	4	12.9	old
14177793432777983	17	53.7	old
372657833058540944162736611842241	33	108.2	old
423739552690562137895757329358023	33	108.4	old
4739363798178085952984856605669204321	37	121.8	2010-05-22 06:19:32

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	16550 / 16550
55	110000000	14628 / 40830

Estimated T-Level: 51.8 ⓘ

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	2017-09-21	Oliver Kruse	ED80E42DE80D460C	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	ED80E42DE80D460C	5	0	1	3
Verified	2017-12-07	ATH	ED80E42DE80D460C	5	2417	1	3
Verified	2020-04-17	Oliver Kruse	BBD45A5348F201EE	5	1641	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	BBD45A5348F201EE	1	491	5	3
Verified	2024-02-03	Wentao Huang	BBD45A5348F201EE	5	2058	5	3

History

Date	User	Type	Result
2024-07-07	masser	NF-PM1	B1=77000000000, B2=61509798838397910
2024-02-03	Wentao Huang	C-PRP	M3851/7703/14177793432777983/372657833058540944162736611842241/423739552690562137895757329358023/4739363798178085952984856605669204321 : BBD45A5348F201EE PRP: Verified PRP without proof (small exponent)
2022-12-18	Kevin_9611	NF-PM1	B1=1000000000, B2=3226259836800
2022-05-12	Jorge Coveiro	C-PRP	M3851/7703 : BBD45A5348F201EE PRP: Verified PRP without proof (small exponent)
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3851/7703/14177793432777983/372657833058540944162736611842241/423739552690562137895757329358023/4739363798178085952984856605669204321 : BBD45A5348F201EE PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3851/7703/14177793432777983/372657833058540944162736611842241/423739552690562137895757329358023/4739363798178085952984856605669204321 : ED80E42DE80D460C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3851/7703/14177793432777983/372657833058540944162736611842241/423739552690562137895757329358023/4739363798178085952984856605669204321 : ED80E42DE80D460C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3851/known_factors : ED80E42DE80D460C PRP without proof (not generated)
2010-05-22	James Hintz	F-ECM	Factor: 4739363798178085952984856605669204321