8 737 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
681487	6	19.4	old
6640121	7	22.7	old
5724729222836153	16	52.3	old
30427637033372331604582934081	29	94.6	old
297225269049958516065232816142632074242944393961	48	157.7	2023-08-08 18:27:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6537 / 9201

Estimated T-Level: 43.6 ⓘ

TF below 2^140 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	DC37C2A0F4F014B1	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DC37C2A0F4F014B1	4	0	1	3
Verified (Factored)	2017-12-07	ATH	DC37C2A0F4F014B1	4	3564	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	63A257186720BB89	4	4269	5	3
Verified	2023-08-08	JacobZ	63A257186720BB89	5	8506	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-08	297225269049958516065232816142632074242944393961	67000000000	265422648792401088

History

Date	User	Type	Result
2023-08-08	JacobZ	C-PRP	M8737/681487/6640121/5724729222836153/30427637033372331604582934081/297225269049958516065232816142632074242944393961 : 63A257186720BB89 PRP: Verified PRP without proof (small exponent)
2023-08-08	JacobZ	F-PM1	Factor: 297225269049958516065232816142632074242944393961 / (P-1, B1=67000000000, B2=265422648792401100)
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8737/681487/6640121/5724729222836153/30427637033372331604582934081 : 63A257186720BB89 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8737/681487/6640121/5724729222836153/30427637033372331604582934081 : DC37C2A0F4F014B1 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8737/681487/6640121/5724729222836153/30427637033372331604582934081 : DC37C2A0F4F014B1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8737/known_factors : DC37C2A0F4F014B1 PRP without proof (not generated)