29 881 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
179287	6	17.5	old
651457504170017	15	49.2	2008-08-26 19:59:22
83357134187028156701162207	26	86.1	2009-05-10 17:34:27
13176000677894290663100195118072871	35	113.3	2017-10-03 11:06:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1319 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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)	2017-09-21	Oliver Kruse	5F0DA2AD66B4A0B0	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5F0DA2AD66B4A0B0	3	0	1	3
Verified	No proof (small exponent)	2017-10-04	kkmrkkblmbrbk	C8B4B4C734BF2225	4	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	C8B4B4C734BF2225	4	0	1	3
Verified	No proof (small exponent)	2017-10-13	Oliver Kruse	C8B4B4C734BF2225	4	11125	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2C300F104D082E1B	4	4115	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	2C300F104D082E1B	4	9380	5	3

History

Date	User	Type	Result
2024-11-28	masser	NF-PP1	Start=6/5, B1=100000000, B2=99900000000
2024-11-25	masser	NF-PP1	Start=184/59, B1=100000000, B2=99900000000
2024-11-20	masser	NF-PP1	Start=2/7, B1=100000000, B2=99900000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M29881/13176000677894290663100195118072871/179287/651457504170017/83357134187028156701162207 : 2C300F104D082E1B
2023-02-15	nordi	NF-PM1	B1=3000000000, B2=925584566816910
2022-10-02	nordi	NF-PM1	B1=3000000000
2020-04-17	Oliver Kruse	C-PRP	M29881/179287/651457504170017/83357134187028156701162207/13176000677894290663100195118072871 : 2C300F104D082E1B
2017-10-13	Oliver Kruse	C-PRP	M29881/179287/651457504170017/83357134187028156701162207/13176000677894290663100195118072871 : C8B4B4C734BF2225
2017-10-09	Chang Chia-Tche	C-PRP	M29881/known_factors : C8B4B4C734BF2225
2017-10-04	kkmrkkblmbrbk	C-PRP	M29881/179287/651457504170017/83357134187028156701162207/13176000677894290663100195118072871 : C8B4B4C734BF2225
2017-10-03	Oliver Kruse	C-PRP	M29881/179287/651457504170017/83357134187028156701162207/13176000677894290663100195118072871 : C8B4B4C734BF2225
2017-10-03	nordi	F-ECM	Factor: 13176000677894290663100195118072871
2017-10-02	kkmrkkblmbrbk	C-PRP	M29881/179287/651457504170017/83357134187028156701162207 : 5F0DA2AD66B4A0B0
2017-09-21	Oliver Kruse	C-PRP	M29881/known_factors : 5F0DA2AD66B4A0B0
2017-09-21	Oliver Kruse	C-PRP	M29881/known_factors : 5F0DA2AD66B4A0B0
2017-01-03	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-10-25	GrunwalderGIMP	F-PM1	Factor: 651457504170017
2009-05-10	Matthias Wurtinger	F-ECM	Factor: 83357134187028156701162207
2008-08-26	-anonymous-	F-PM1	Factor: 651457504170017