169 957 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
33872581021817	14	44.9	old
395649024407829047	18	58.5	2014-06-09 12:24:55
843287391033719632681460929	27	89.4	2017-12-01 13:32:59

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	169 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-22	Oliver Kruse	EB97868FF6AD21ED	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	EB97868FF6AD21ED	2	136458	1	3
Verified	No proof (small exponent)	2017-12-02	kkmrkkblmbrbk	B01ADB2270AE8615	3	145377	5	3
Verified	No proof (small exponent)	2017-12-02	storm5510	B01ADB2270AE8615	3	139891	5	3

History

Date	User	Type	Result
2022-11-14	LordJulius	NF	no factor TF: 66-67
2022-11-14	LordJulius	NF	no factor TF: 65-66
2022-11-14	LordJulius	NF	no factor TF: 64-65
2022-11-14	LordJulius	NF	no factor TF: 63-64
2022-11-14	LordJulius	NF	no factor TF: 62-63
2022-11-14	LordJulius	NF	no factor TF: 61-62
2022-11-14	LordJulius	NF	no factor TF: 60-61
2022-11-14	LordJulius	NF	no factor TF: 59-60
2017-12-02	storm5510	C-PRP	M169957/33872581021817/395649024407829047/843287391033719632681460929 : B01ADB2270AE8615
2017-12-02	kkmrkkblmbrbk	C-PRP	M169957/33872581021817/395649024407829047/843287391033719632681460929 : B01ADB2270AE8615
2017-12-01	TJAOI	F-ECM	Factor: 843287391033719632681460929
2017-10-12	kkmrkkblmbrbk	C-PRP	M169957/33872581021817/395649024407829047 : EB97868FF6AD21ED
2017-09-22	Oliver Kruse	C-PRP	M169957/33872581021817/395649024407829047 : EB97868FF6AD21ED
2017-09-22	Oliver Kruse	C-PRP	M169957/33872581021817/395649024407829047 : EB97868FF6AD21ED
2017-06-01	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-06-09	TJAOI	F-ECM	Factor: 395649024407829047