11 617 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1858721	7	20.8	old
43494049	8	25.4	2008-08-26 19:58:35
56778668351	11	35.7	2008-08-26 19:58:35
68011840323367	14	46.0	2008-08-26 19:58:35
1662480924237737	16	50.6	2008-08-26 19:58:35
71179317698907597035382034789943997199	38	125.7	2017-03-06 19:17:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2264 / 9201

Estimated T-Level: 41.2 ⓘ

TF below 2^132 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	6FF576EBE5E120C7	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6FF576EBE5E120C7	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	6FF576EBE5E120C7	6	10626	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D2BDCD55B4A95D35	6	9267	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	D2BDCD55B4A95D35	6	11382	5	3

History

Date	User	Type	Result
2025-03-15	masser	NF-PP1	Start=91/53, B1=430000000, B2=429570000000
2025-03-03	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11617/1662480924237737/1858721/43494049/56778668351/68011840323367/71179317698907597035382034789943997199 : D2BDCD55B4A95D35
2023-01-20	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M11617/1858721/43494049/56778668351/68011840323367/1662480924237737/71179317698907597035382034789943997199 : D2BDCD55B4A95D35
2017-12-07	ATH	C-PRP	M11617/1858721/43494049/56778668351/68011840323367/1662480924237737/71179317698907597035382034789943997199 : 6FF576EBE5E120C7
2017-10-02	kkmrkkblmbrbk	C-PRP	M11617/1858721/43494049/56778668351/68011840323367/1662480924237737/71179317698907597035382034789943997199 : 6FF576EBE5E120C7
2017-09-21	Oliver Kruse	C-PRP	M11617/1858721/43494049/56778668351/68011840323367/1662480924237737/71179317698907597035382034789943997199 : 6FF576EBE5E120C7
2017-03-06	kkmrkkblmbrbk	F-ECM	Factor: 71179317698907597035382034789943997199
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 4590175046927860939988479
2011-02-05	Oscar Östlin	F-PM1	Factor: 519003689337754101584918455683843578547039135454181441
2011-02-05	Oscar Östlin	F	Factor: 105535703216039071
2008-08-26	-anonymous-	F-PM1	Factor: 1662480924237737
2008-08-26	-anonymous-	F	Factor: 68011840323367
2008-08-26	-anonymous-	F	Factor: 56778668351
2008-08-26	-anonymous-	F	Factor: 43494049