110 039 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
8803121	7	23.1	old
29930609	8	24.8	2008-07-26 09:17:11
248386585859499954791	21	67.8	2008-12-02 21:08:15
1172690517644741613839	22	70.0	2014-04-22 08:43:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	249 / 1566

Estimated T-Level: 30.8 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	237D675F72FC1F16	4	0	1	3
Verified	2017-10-09	Chang Chia-Tche	237D675F72FC1F16	4	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	237D675F72FC1F16	4	1090	1	3
Verified	2020-04-17	Oliver Kruse	4D70F62BE3B812B2	4	1856	5	3
Verified	2022-04-15	LordJulius	4D70F62BE3B812B2	4	32911	5	3
Verified	2022-11-11	LordJulius	4D70F62BE3B812B2	4	22403	5	3

History

Date	User	Type	Result
2022-11-11	Chun sung soo	CERT	PRP Certification Proof certified good
2022-11-11	LordJulius	C-PRP	M110039/8803121/29930609/248386585859499954791/1172690517644741613839 : 4D70F62BE3B812B2 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-08	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-08	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-08	LordJulius	NF	no factor from 2^60 to 2^61
2022-05-08	LordJulius	NF	no factor from 2^59 to 2^60
2022-05-08	LordJulius	NF	no factor from 2^58 to 2^59
2022-05-08	LordJulius	NF	no factor from 2^57 to 2^58
2022-04-15	LordJulius	C-PRP	M110039/8803121/29930609/248386585859499954791/1172690517644741613839 : 4D70F62BE3B812B2 PRP proof power = 5 PRP: Verified PRP proof never uploaded
2020-04-17	Oliver Kruse	C-PRP	M110039/8803121/29930609/248386585859499954791/1172690517644741613839 : 4D70F62BE3B812B2 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M110039/8803121/29930609/248386585859499954791/1172690517644741613839 : 237D675F72FC1F16 PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M110039/known_factors : 237D675F72FC1F16 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M110039/8803121/29930609/248386585859499954791/1172690517644741613839 : 237D675F72FC1F16 PRP without proof (not generated)
2016-12-16	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-04-22	TJAOI	F-ECM	Factor: 1172690517644741613839
2008-12-02	Matthias Wurtinger	F-ECM	Factor: 248386585859499954791
2008-07-26	J Feitsma	F	Factor: 29930609