258 157 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
61957681	8	25.9	old
30800260893987481546217	23	74.7	2017-05-12 11:30:03
7048228197804210755328787001	28	92.5	2020-11-01 13:50:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	423 / 640

Estimated T-Level: 28.3 ⓘ

TF below 2^89 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	0A26D10EC95B7759	2	0	1	3
Verified (Factored)	2017-09-30	alpertron	0A26D10EC95B7759	2	0	1	3
Verified (Factored)	2017-12-07	ATH	0A26D10EC95B7759	2	120138	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	71764514DF63FFC1	2	235148	5	3
Verified	2020-11-01	Chad Steenerson	71764514DF63FFC1	3	235598	5	3

History

Date	User	Type	Result
2022-04-29	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-08-22	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-11-02	curtisc	CERT	PRP Certification Proof certified good
2020-11-01	Chad Steenerson	C-PRP	M258157/61957681/30800260893987481546217/7048228197804210755328787001 : 71764514DF63FFC1 PRP proof power = 5 PRP: Verified Proof certified good
2020-11-01	Chang Chia-Tche	F-ECM	Factor: 7048228197804210755328787001 / (ECM curve 2, B1=250000, B2=25000000, Sigma=4923899753883122)
2020-04-17	Oliver Kruse	C-PRP	M258157/61957681/30800260893987481546217 : 71764514DF63FFC1 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M258157/61957681/30800260893987481546217 : 0A26D10EC95B7759 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M258157/30800260893987481546217/61957681 : 0A26D10EC95B7759 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M258157/61957681/30800260893987481546217 : 0A26D10EC95B7759 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M258157/61957681/30800260893987481546217 : 0A26D10EC95B7759 PRP without proof (not generated)
2017-05-12	TJAOI	F-ECM	Factor: 30800260893987481546217 / (ECM curve 10, B1=250000, B2=25000000)