1 834 513 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
11007079	8	23.4	old
16950735013831	14	43.9	2008-09-30 13:30:20
951220484524020899298281	24	79.7	2021-05-07 10:27:34
24944007188670372154159436807	29	94.3	2023-09-11 09:36:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	104 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	816EA31BDABEBED2	2	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	816EA31BDABEBED2	2	1402099	1	3
Verified (Factored)	2021-05-07	riccardo uberti	A4E0D29A5117BF61	3	1609823	5	3
Verified	2023-09-11	Naegi Makoto	A4E0D29A5117BF61	4	46289	5	3

History

Date	User	Type	Result
2023-09-11	PrairiePrime	CERT	PRP Certification Proof certified good
2023-09-11	Naegi Makoto	C-PRP	M1834513/11007079/16950735013831/951220484524020899298281/24944007188670372154159436807 : A4E0D29A5117BF61 PRP proof power = 7 PRP: Verified Proof certified good
2023-09-11	TJAOI	F-ECM	Factor: 24944007188670372154159436807 / (ECM curve 20, B1=250000, B2=40000000, Sigma=2637138718177723)
2021-05-09	riccardo uberti	NF-PP1	Start=6/5, B1=3000000, B2=60000000
2021-05-08	riccardo uberti	NF-PP1	Start=2/7, B1=3000000, B2=60000000
2021-05-08	riccardo uberti	NF-PM1	B1=6000000, B2=120000000, E=12
2021-05-07	curtisc	CERT	PRP Certification Proof certified good
2021-05-07	riccardo uberti	C-PRP	M1834513/11007079/16950735013831/951220484524020899298281 : A4E0D29A5117BF61 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-05-07	TJAOI	F-ECM	Factor: 951220484524020899298281 / (ECM curve 29, B1=50000, B2=6600000)
2017-11-06	kkmrkkblmbrbk	C-PRP	M1834513/11007079/16950735013831 : 816EA31BDABEBED2 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1834513/11007079/16950735013831 : 816EA31BDABEBED2 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-09-30	markr	F	Factor: 16950735013831