16 139 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
34214681	8	25.0	old
128111383	9	26.9	2008-08-26 19:58:47
1344328895047	13	40.3	2008-08-26 19:58:47
4322844061201	13	42.0	2008-08-26 19:58:47
5499104030574041	16	52.3	2008-08-26 19:58:48
152854945351382404910875723289	30	96.9	2009-05-31 18:05:22
201311368956078850834545714805055969	36	117.3	2017-09-11 07:18:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2585 / 9201

Estimated T-Level: 41.4 ⓘ

TF below 2^133 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	DA47490B05BF7230	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	DA47490B05BF7230	7	0	1	3
Verified	2017-12-07	ATH	DA47490B05BF7230	7	11085	1	3
Verified	2020-04-17	Oliver Kruse	FA95ABF3A02A8563	7	4762	5	3
Verified	2024-07-01	kkmrkkblmbrbk	FA95ABF3A02A8563	7	13284	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-09	201311368956078850834545714805055969	100000000000	100034392085808176
2024-09-25	201311368956078850834545714805055969	1000000000000	1409810010737678592

History

Date	User	Type	Result
2025-02-02	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-30	masser	NF-PP1	Start=102/37, B1=355000000, B2=354645000000
2025-01-11	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-09-25	Anton Repko	F-PM1	Factor: 201311368956078850834545714805055969 / (P-1, B1=1000000000000, B2=1409810010737678550)
2024-07-01	kkmrkkblmbrbk	C-PRP	M16139/128111383/1344328895047/152854945351382404910875723289/201311368956078850834545714805055969/34214681/4322844061201/5499104030574041 : FA95ABF3A02A8563 PRP: Verified PRP without proof (small exponent)
2022-04-09	-Anonymous-	F-PM1	Factor: 201311368956078850834545714805055969 / (P-1, B1=100000000000, B2=100034392085808180)
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M16139/34214681/128111383/1344328895047/4322844061201/5499104030574041/152854945351382404910875723289/201311368956078850834545714805055969 : FA95ABF3A02A8563 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M16139/34214681/128111383/1344328895047/4322844061201/5499104030574041/152854945351382404910875723289/201311368956078850834545714805055969 : DA47490B05BF7230 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M16139/34214681/128111383/1344328895047/4322844061201/5499104030574041/152854945351382404910875723289/201311368956078850834545714805055969 : DA47490B05BF7230 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M16139/34214681/128111383/1344328895047/4322844061201/5499104030574041/152854945351382404910875723289/201311368956078850834545714805055969 : DA47490B05BF7230 PRP without proof (not generated)
2017-09-11	kkmrkkblmbrbk	F-ECM	Factor: 201311368956078850834545714805055969 / (ECM curve 470, B1=1000000, B2=100000000)
2009-05-31	Matthias Wurtinger	F-ECM	Factor: 152854945351382404910875723289
2008-08-26	-Anonymous-	F	Factor: 5499104030574041
2008-08-26	-Anonymous-	F	Factor: 4322844061201
2008-08-26	-Anonymous-	F	Factor: 1344328895047
2008-08-26	-Anonymous-	F	Factor: 128111383