3 435 373 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
1770529407487	13	40.7	old
19587519056395249	17	54.1	2014-11-04 12:36:04
171559417034034167	18	57.3	2015-06-04 11:50:56
21110388103546435457	20	64.2	2017-08-09 11:31:14

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	alpertron	31F6B580608A6D4F	4	0	1	3
Verified	2017-11-21	Oliver Kruse	31F6B580608A6D4F	4	1580571	1	3

History

Date	User	Type	Result
2022-07-23	Joss	NF-PM1	B1=3435373, B2=3463452300
2022-05-05	LordJulius	NF	no factor from 2^63 to 2^64
2022-05-05	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-21	Joss	NF-PM1	B1=3435373, B2=1016122800
2021-08-31	Joss	NF-PM1	B1=3435373, B2=137414920, E=12
2021-08-23	Joss	NF	no factor from 2^68 to 2^69
2021-08-13	Joss	NF-PM1	B1=3435373, B2=34353730, E=12
2021-08-08	Joss	NF-PM1	B1=3435373
2021-01-29	Joss	NF	no factor from 2^67 to 2^68
2021-01-28	Joss	NF	no factor from 2^66 to 2^67
2021-01-20	Joss	NF	no factor from 2^65 to 2^66
2020-07-08	Joss	NF-PM1	B1=366432, B2=17176865, E=12
2020-07-02	Joss	NF-PM1	B1=366432, B2=6870746, E=6
2017-11-21	Oliver Kruse	C-PRP	M3435373/1770529407487/19587519056395249/171559417034034167/21110388103546435457 : 31F6B580608A6D4F PRP: Verified PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M3435373/171559417034034167/1770529407487/19587519056395249/21110388103546435457 : 31F6B580608A6D4F PRP: Verified PRP without proof (not generated)
2017-08-09	TJAOI	F	Factor: 21110388103546435457 / TF: 64-65
2015-06-04	TJAOI	F	Factor: 171559417034034167 / TF: 57-58
2014-11-04	TJAOI	F	Factor: 19587519056395249 / TF: 54-55