1 709 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
379399	6	18.5	old
208838593667910233	18	57.5	old
29015032394371006564513715526946615358047	41	134.4	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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	101866 / 194238

Estimated T-Level: 62.6 ⓘ

TF below 2^203 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	C3D182D45E689156	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	C3D182D45E689156	3	0	1	3
Verified	2017-12-07	ATH	C3D182D45E689156	3	1174	1	3
Verified	2020-04-17	Oliver Kruse	BF4665E9FD476BB8	3	1232	5	3
Verified	2020-08-12	_p95holder_	BF4665E9FD476BB8	3	979	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-11	79233153599011474489967	1000000	1000000

History

Date	User	Type	Result
2024-01-11	ANONYMOUS	F-PM1	Factors: 379399,208838593667910233 / (P-1, B1=1000000)
2022-08-24	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-23	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1709/379399/208838593667910233/29015032394371006564513715526946615358047 : BF4665E9FD476BB8 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1709/379399/208838593667910233/29015032394371006564513715526946615358047 : BF4665E9FD476BB8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M1709/379399/208838593667910233/29015032394371006564513715526946615358047 : C3D182D45E689156 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M1709/379399/208838593667910233/29015032394371006564513715526946615358047 : C3D182D45E689156 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1709/known_factors : C3D182D45E689156 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12