201 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
18130591	8	24.1	old
30043212773297	14	44.8	2008-07-21 09:13:43
2140462112542660718689	22	70.9	2014-07-28 13:44:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	186 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	262B5DEE6B91FCD0	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	262B5DEE6B91FCD0	3	198538	1	3
Verified	2020-04-17	Oliver Kruse	86866B07E3E82CF1	3	93579	5	3
Verified	2023-08-03	USAFSS	86866B07E3E82CF1	3	126486	5	3

History

Date	User	Type	Result
2023-08-03	Nesowa	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M201451/18130591/30043212773297/2140462112542660718689 : 86866B07E3E82CF1 PRP proof power = 5 PRP: Verified Proof certified good
2021-02-27	ViliamF	NF-PM1	B1=50000000, B2=8050000000
2020-04-17	Oliver Kruse	C-PRP	M201451/18130591/30043212773297/2140462112542660718689 : 86866B07E3E82CF1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M201451/18130591/30043212773297/2140462112542660718689 : 262B5DEE6B91FCD0 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M201451/known_factors : 262B5DEE6B91FCD0 PRP without proof (not generated)
2014-07-28	TJAOI	F-ECM	Factor: 2140462112542660718689
2008-07-21	J Feitsma	F	Factor: 30043212773297