3 709 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
179661997396749084606181075339039	33	107.1	old
225210358294013561874414316954513	33	107.5	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	16550 / 16550
55	110000000	14109 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 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	947071BA8640255C	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	947071BA8640255C	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	947071BA8640255C	2	2148	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	91FCB7B78FB8C99F	2	3526	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	91FCB7B78FB8C99F	2	496	5	3

History

Date	User	Type	Result
2024-06-06	masser	NF-PM1	B1=77000000000, B2=134274614548584510
2024-02-03	Wentao Huang	C-PRP	M3709/179661997396749084606181075339039/225210358294013561874414316954513 : 91FCB7B78FB8C99F
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2021-08-23	H Michaelson	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M3709/179661997396749084606181075339039/225210358294013561874414316954513 : 91FCB7B78FB8C99F
2017-12-07	ATH	C-PRP	M3709/179661997396749084606181075339039/225210358294013561874414316954513 : 947071BA8640255C
2017-10-02	kkmrkkblmbrbk	C-PRP	M3709/179661997396749084606181075339039/225210358294013561874414316954513 : 947071BA8640255C
2017-09-21	Oliver Kruse	C-PRP	M3709/known_factors : 947071BA8640255C
1999-09-22	-anonymous-	NF	no factor TF: 52-53