13 879 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
4922948363329	13	42.2	old
312550063231655033164531445351	30	98.0	2010-06-28 20:47:25
6296272221809488489700392419994498993	37	122.2	2019-09-20 13:58:57
260371331695436744040943052217582213983	39	127.6	2023-06-15 17:32:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1254 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	57299B30988CF196	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	57299B30988CF196	2	0	1	3
Verified (Factored)	2017-12-07	ATH	57299B30988CF196	2	6366	1	3
Verified (Factored)	2019-09-21	mnd9	CA2F516476DE0290	3	8227	5	3
Verified (Factored)	2019-09-22	marssystems	CA2F516476DE0290	3	2317	5	3
Verified	2023-06-15	Denial140	CA2F516476DE0290	4	10395	5	3

History

Date	User	Type	Result
2023-11-30	-Anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-06-15	Denial140	C-PRP	M13879/4922948363329/312550063231655033164531445351/6296272221809488489700392419994498993/260371331695436744040943052217582213983 : CA2F516476DE0290 PRP: Verified PRP without proof (small exponent)
2023-06-15	Denial140	F-ECM	Factor: 260371331695436744040943052217582213983 / (ECM curve 87, B1=3000000, B2=22972799850, Sigma=5855450649594144)
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2019-09-22	marssystems	C-PRP	M13879/4922948363329/312550063231655033164531445351/6296272221809488489700392419994498993 : CA2F516476DE0290 PRP: Verified PRP without proof (small exponent)
2019-09-21	mnd9	C-PRP	M13879/4922948363329/312550063231655033164531445351/6296272221809488489700392419994498993 : CA2F516476DE0290 PRP: Verified PRP without proof (small exponent)
2019-09-20	Niels_Mache_Nextcloud	F-ECM	Factor: 6296272221809488489700392419994498993 / (ECM curve 2, B1=3000000, B2=300000000, Sigma=5013545590202797)
2017-12-07	ATH	C-PRP	M13879/4922948363329/312550063231655033164531445351 : 57299B30988CF196 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13879/4922948363329/312550063231655033164531445351 : 57299B30988CF196 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13879/4922948363329/312550063231655033164531445351 : 57299B30988CF196 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13879/4922948363329/312550063231655033164531445351 : 57299B30988CF196 PRP without proof (not generated)
2010-06-28	James Hintz	F-ECM	Factor: 312550063231655033164531445351