6 863 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
1608865639	10	30.6	old
337111414759199	15	48.3	old
7586485806800975690073789503	28	92.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2697 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	51158EADF005C1B3	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	51158EADF005C1B3	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	51158EADF005C1B3	3	5336	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	31D0B81BAF10FDA8	3	3548	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	31D0B81BAF10FDA8	3	2646	5	3

History

Date	User	Type	Result
2025-03-23	masser	NF-PP1	Start=89/13, B1=1000000000, B2=999000000000
2025-03-15	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-06	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6863/1608865639/337111414759199/7586485806800975690073789503 : 31D0B81BAF10FDA8
2023-08-17	-anonymous-	NF-PM1	B1=35000000000, B2=149103333456127050
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6863/1608865639/337111414759199/7586485806800975690073789503 : 31D0B81BAF10FDA8
2017-12-07	ATH	C-PRP	M6863/1608865639/337111414759199/7586485806800975690073789503 : 51158EADF005C1B3
2017-10-02	kkmrkkblmbrbk	C-PRP	M6863/1608865639/337111414759199/7586485806800975690073789503 : 51158EADF005C1B3
2017-09-21	Oliver Kruse	C-PRP	M6863/known_factors : 51158EADF005C1B3
2009-10-25	Carsten Kossendey	F-PM1	Factor: 542366971720752730263161