185 371 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
14453376871	11	33.8	old
127890449978329	15	46.9	2008-08-26 20:12:54
2471064560407031	16	51.1	2008-08-26 20:12:54
622196912518986359	18	59.1	2008-08-26 20:12:54
4455312506783039756906267977	28	91.8	2020-02-09 18:57:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	483 / 1566

Estimated T-Level: 31.5 ⓘ

TF below 2^100 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	396610C4F61B4405	4	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	396610C4F61B4405	4	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	396610C4F61B4405	4	34523	1	3
Verified	2020-02-10	mrh	0D1E4A190D202CC5	5	88991	5	3
Verified	2020-02-10	Jinyuan Wang	0D1E4A190D202CC5	5	124652	5	3
Verified	2020-02-11	Luigi Morelli	0D1E4A190D202CC5	5	53450	5	3
Verified	2023-08-24	USAFSS	0D1E4A190D202CC5	5	136975	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359/4455312506783039756906267977 : 0D1E4A190D202CC5 PRP proof power = 5 PRP: Verified Proof certified good
2020-02-11	Luigi Morelli	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359/4455312506783039756906267977 : 0D1E4A190D202CC5 PRP: Verified PRP without proof (small exponent)
2020-02-10	Jinyuan Wang	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359/4455312506783039756906267977 : 0D1E4A190D202CC5 PRP: Verified PRP without proof (small exponent)
2020-02-10	mrh	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359/4455312506783039756906267977 : 0D1E4A190D202CC5 PRP: Verified PRP without proof (small exponent)
2020-02-09	MarkS	F-ECM	Factor: 4455312506783039756906267977 / (ECM curve 3, B1=250000, B2=25000000, Sigma=960860973251520)
2017-11-06	kkmrkkblmbrbk	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359 : 396610C4F61B4405 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359 : 396610C4F61B4405 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M185371/14453376871/127890449978329/2471064560407031/622196912518986359 : 396610C4F61B4405 PRP without proof (not generated)
2017-05-26	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F-ECM	Factor: 622196912518986359
2008-08-26	-Anonymous-	F-PM1	Factor: 2471064560407031
2008-08-26	-Anonymous-	F	Factor: 127890449978329