8 231 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
214007	6	17.7	old
14329002199	11	33.7	old
161459124021487	15	47.2	old
526731815247335216234269586171071	33	108.7	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	5575 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	2CE87BC59C965692	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2CE87BC59C965692	4	0	1	3
Verified	2017-12-07	ATH	2CE87BC59C965692	4	6411	1	3
Verified	2020-04-17	Oliver Kruse	E10AE6771829D184	4	4603	5	3
Verified	2024-07-01	kkmrkkblmbrbk	E10AE6771829D184	4	6401	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8231/14329002199/161459124021487/214007/526731815247335216234269586171071 : E10AE6771829D184 PRP: Verified PRP without proof (small exponent)
2023-08-31	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-08-25	H Michaelson	NF-PM1	B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M8231/214007/14329002199/161459124021487/526731815247335216234269586171071 : E10AE6771829D184 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8231/214007/14329002199/161459124021487/526731815247335216234269586171071 : 2CE87BC59C965692 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8231/214007/14329002199/161459124021487/526731815247335216234269586171071 : 2CE87BC59C965692 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8231/known_factors : 2CE87BC59C965692 PRP without proof (not generated)