3 889 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
51122650698950585633	20	65.5	old
52340768390681559948754477156073	32	105.4	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	14016 / 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	CB3D491792936A00	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	CB3D491792936A00	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	CB3D491792936A00	2	1994	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	13B49F363310D62D	2	381	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	13B49F363310D62D	2	526	5	3

History

Date	User	Type	Result
2025-05-08	masser	NF-PP1	Start=151/43, B1=2600000000, B2=2597400000000
2024-07-12	masser	NF-PM1	B1=77000000000, B2=92805933520700400
2024-02-03	Wentao Huang	C-PRP	M3889/51122650698950585633/52340768390681559948754477156073 : 13B49F363310D62D
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3889/51122650698950585633/52340768390681559948754477156073 : 13B49F363310D62D
2017-12-07	ATH	C-PRP	M3889/51122650698950585633/52340768390681559948754477156073 : CB3D491792936A00
2017-10-02	kkmrkkblmbrbk	C-PRP	M3889/51122650698950585633/52340768390681559948754477156073 : CB3D491792936A00
2017-09-21	Oliver Kruse	C-PRP	M3889/known_factors : CB3D491792936A00
2005-03-20	-anonymous-	F-PM1	Factor: 51122650698950585633