172 871 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
3317137771737077334009863	25	81.5	2009-01-21 02:24:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	625 / 640

Estimated T-Level: 29.9 ⓘ

TF below 2^94 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	3EEC9DE9	0
Verified (Factored)		Sergio Filippini	CF0248613EEC9DE9	0
Verified (Factored)		Brian J. Beesley	CF0248613EEC9DE9	0
Verified (Factored)		Eivind Triel	CF0248613EEC9DE9	72529

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	F20B09262D26C6EE	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	F20B09262D26C6EE	1	39549	1	3
Verified	2020-04-17	Oliver Kruse	55A9CC9D228D8861	1	53711	5	3
Verified	2024-02-03	Wentao Huang	55A9CC9D228D8861	1	95788	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M172871/3317137771737077334009863 : 55A9CC9D228D8861 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M172871/3317137771737077334009863 : 55A9CC9D228D8861 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M172871/3317137771737077334009863 : F20B09262D26C6EE PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M172871/3317137771737077334009863 : F20B09262D26C6EE PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M172871/3317137771737077334009863 : F20B09262D26C6EE PRP without proof (not generated)
2017-05-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-21	axn	F-ECM	Factor: 3317137771737077334009863
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59