185 677 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
1114063	7	20.1	old
894340353515852039676479	24	79.6	2014-06-19 16:32:40
64167558325494827959208656543	29	95.7	2020-05-23 09:11:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	162 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 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	931150118F03227C	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	931150118F03227C	2	109176	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	43251C86E21A0B9F	2	128923	5	3
Verified	2020-05-23	M Miller	43251C86E21A0B9F	3	116371	5	3
Verified	2023-08-24	USAFSS	43251C86E21A0B9F	3	44590	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M185677/1114063/894340353515852039676479/64167558325494827959208656543 : 43251C86E21A0B9F PRP proof power = 5 PRP: Verified Proof certified good
2020-05-23	M Miller	C-PRP	M185677/1114063/894340353515852039676479/64167558325494827959208656543 : 43251C86E21A0B9F PRP: Verified PRP without proof (small exponent)
2020-05-23	nordi	F-ECM	Factor: 64167558325494827959208656543 / (ECM curve 25, B1=250000, B2=25000000, Sigma=5844059314184557)
2020-04-17	Oliver Kruse	C-PRP	M185677/1114063/894340353515852039676479 : 43251C86E21A0B9F PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M185677/1114063/894340353515852039676479 : 931150118F03227C PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M185677/1114063/894340353515852039676479 : 931150118F03227C PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M185677/1114063/894340353515852039676479 : 931150118F03227C PRP without proof (not generated)
2017-05-26	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-06-19	TJAOI	F-ECM	Factor: 894340353515852039676479