345 937 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
40358394169	11	35.2	old
166833151505039852333057	24	77.1	2014-10-03 12:41:42
450685743409420779355672714594447	33	108.5	2020-09-05 17:59:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	304 / 640

Estimated T-Level: 27.4 ⓘ

TF below 2^86 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-23	Oliver Kruse	897CAA93F13A93C1	2	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	897CAA93F13A93C1	2	197834	1	3
Verified (Factored)	2017-12-13	ATH	897CAA93F13A93C1	2	44165	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	B021B5F9DC7B0591	2	118890	5	3
Verified	2020-09-06	ViliamF	B021B5F9DC7B0591	3	74277	5	3

History

Date	User	Type	Result
2023-11-16	USAFSS	NF-PM1	B1=1350000, B2=5367308100
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-09-06	Ben Delo	CERT	PRP Certification Proof certified good
2020-09-06	ViliamF	C-PRP	M345937/40358394169/166833151505039852333057/450685743409420779355672714594447 : B021B5F9DC7B0591 PRP proof power = 5 PRP: Verified Proof certified good
2020-09-05	nordi	F-ECM	Factor: 450685743409420779355672714594447 / (ECM curve 84, B1=250000, B2=25000000, Sigma=1575568384898515)
2020-04-18	Oliver Kruse	C-PRP	M345937/40358394169/166833151505039852333057 : B021B5F9DC7B0591 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-13	ATH	C-PRP	M345937/40358394169/166833151505039852333057 : 897CAA93F13A93C1 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M345937/40358394169/166833151505039852333057 : 897CAA93F13A93C1 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M345937/40358394169/166833151505039852333057 : 897CAA93F13A93C1 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M345937/40358394169/166833151505039852333057 : 897CAA93F13A93C1 PRP without proof (not generated)
2014-10-03	TJAOI	F-ECM	Factor: 166833151505039852333057 / (ECM curve 4, B1=50000, B2=5000000)