13 873 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
15620999	8	23.9	old
2023436009475044138961062392660366903	37	120.6	2017-06-03 12:59:50
46504793905676683039780338877784360486807	41	135.1	2023-06-15 05:30:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1257 / 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	C82C51172773A840	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	C82C51172773A840	2	0	1	3
Verified (Factored)	2017-12-07	ATH	C82C51172773A840	2	13534	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	4117A74B4920CE96	2	11599	5	3
Verified	2023-06-15	Denial140	4117A74B4920CE96	3	361	5	3
Verified	2023-06-15	/r/counting	4117A74B4920CE96	3	6721	5	3
Verified	2023-06-15	Denial140	4117A74B4920CE96	3	6627	5	3

History

Date	User	Type	Result
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-06-15	Denial140	C-PRP	M13873/15620999/2023436009475044138961062392660366903/46504793905676683039780338877784360486807 : 4117A74B4920CE96 PRP: Verified PRP without proof (small exponent)
2023-06-15	/r/counting	C-PRP	M13873/15620999/2023436009475044138961062392660366903/46504793905676683039780338877784360486807 : 4117A74B4920CE96 PRP: Verified PRP without proof (small exponent)
2023-06-15	Denial140	C-PRP	M13873/15620999/2023436009475044138961062392660366903/46504793905676683039780338877784360486807 : 4117A74B4920CE96 PRP: Verified PRP without proof (small exponent)
2023-06-15	Denial140	F-ECM	Factor: 46504793905676683039780338877784360486807 / (ECM curve 106, B1=3000000, B2=22972799850, Sigma=4492981475494398)
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=10000000, B2=704560436580
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13873/15620999/2023436009475044138961062392660366903 : 4117A74B4920CE96 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13873/15620999/2023436009475044138961062392660366903 : C82C51172773A840 PRP without proof (not generated)
2017-06-03	kkmrkkblmbrbk	F-ECM	Factor: 2023436009475044138961062392660366903 / (ECM curve 962, B1=1000000, B2=100000000)