53 353 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
320119	6	18.3	old
1280473	7	20.3	2008-08-26 20:08:01
34012217383	11	35.0	2008-08-26 20:08:01
1013441942297	13	39.9	2008-08-26 20:08:01
13436814879436599113	20	63.5	2009-06-04 21:14:27
41826517714093510457023	23	75.1	2010-05-06 08:17:58
11082661809096046145125771045185383	35	113.1	2020-02-13 12:22:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	584 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	7605B6FC20D881DF	6	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	7605B6FC20D881DF	6	0	1	3
Verified (Factored)	2017-12-07	ATH	7605B6FC20D881DF	6	28709	1	3
Verified (Factored)	2020-02-13	player_3236	7A11F330271AA3F0	6	9977	5	3
Verified	2020-02-13	player_3236	7A11F330271AA3F0	7	34983	5	3
Verified	2020-02-14	Niels_Mache_Nextcloud	7A11F330271AA3F0	7	19934	5	3

History

Date	User	Type	Result
2023-05-15	JacobZ	NF-PM1	B1=660000000, B2=311028595277400
2021-04-30	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2021-04-15	Seth_Tr	NF-PM1	B1=400000000, B2=76400000000
2021-03-15	Seth_Tr	NF-PM1	B1=200000000, B2=34200000000
2020-02-24	tanaydin	NF-PM1	B1=1000000, B2=100000000, E=12
2020-02-14	Niels_Mache_Nextcloud	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023/11082661809096046145125771045185383 : 7A11F330271AA3F0 PRP: Verified PRP without proof (small exponent)
2020-02-13	player_3236	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023/11082661809096046145125771045185383 : 7A11F330271AA3F0 PRP: Verified PRP without proof (small exponent)
2020-02-13	player_3236	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023 : 7A11F330271AA3F0 PRP: Verified PRP without proof (small exponent)
2020-02-13	Alex Kruppa	F-ECM	Factor: 11082661809096046145125771045185383 / (ECM curve 2, B1=1000000, B2=100000000, Sigma=8218463911302834)
2017-12-07	ATH	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023 : 7605B6FC20D881DF PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023 : 7605B6FC20D881DF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023 : 7605B6FC20D881DF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M53353/320119/1280473/34012217383/1013441942297/13436814879436599113/41826517714093510457023 : 7605B6FC20D881DF PRP without proof (not generated)
2016-09-24	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-05-06	James Hintz	F-ECM	Factor: 41826517714093510457023
2009-06-04	Matthias Wurtinger	F-ECM	Factor: 13436814879436599113
2008-08-26	-Anonymous-	F	Factor: 1013441942297
2008-08-26	-Anonymous-	F	Factor: 34012217383
2008-08-26	-Anonymous-	F	Factor: 1280473