5 801 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
34807	5	15.1	old
200204113	9	27.6	old
82513376014129	14	46.2	old

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	3888 / 16550

Estimated T-Level: 46.2 ⓘ

TF below 2^148 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	28D201C87F71E659	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	28D201C87F71E659	3	4668	1	3
Verified	2020-04-17	Oliver Kruse	89FC72F321A32AA4	3	689	5	3
Verified	2024-02-03	Wentao Huang	89FC72F321A32AA4	3	1728	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5801/34807/200204113/82513376014129 : 89FC72F321A32AA4 PRP: Verified PRP without proof (small exponent)
2023-07-20	-Anonymous-	NF-PM1	B1=43000000000, B2=180123354312952050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5801/34807/200204113/82513376014129 : 89FC72F321A32AA4 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5801/34807/200204113/82513376014129 : 28D201C87F71E659 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5801/34807/200204113/82513376014129 : 28D201C87F71E659 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5801/34807/200204113/82513376014129 : 28D201C87F71E659 PRP without proof (not generated)