32 057 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
41077781112865417	17	55.2	old
77087620336164121	17	56.1	2008-08-26 19:59:27
3266726955200737164011629254842087	34	111.3	2015-04-25 03:02:37
61186539903330175486948838464880682138697	41	135.5	2022-08-25 10:52:51

P-1 factors

Date	Factors	B1	B2
2022-08-25	61186539903330175486948838464880682138697	2000000000	617056381111170

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1322 / 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	1682F0776AB8AAE2	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1682F0776AB8AAE2	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	1682F0776AB8AAE2	3	4737	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	92C2EE804FE15859	3	19946	5	3
Verified	No proof (small exponent)	2022-08-25	nordi	92C2EE804FE15859	4	14445	5	3
Verified	No proof (small exponent)	2025-05-28	Dobri	92C2EE804FE15859	4	24880	5	3

History

Date	User	Type	Result
2025-05-28	Dobri	C-PRP	M32057/41077781112865417/77087620336164121/3266726955200737164011629254842087/61186539903330175486948838464880682138697 : 92C2EE804FE15859
2022-08-25	nordi	C-PRP	M32057/41077781112865417/77087620336164121/3266726955200737164011629254842087/61186539903330175486948838464880682138697 : 92C2EE804FE15859
2022-08-25	nordi	F-PM1	Factor: 61186539903330175486948838464880682138697 / B1=2000000000, B2=617056381111170
2022-07-23	nordi	NF-PM1	B1=2000000000
2021-05-08	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M32057/41077781112865417/77087620336164121/3266726955200737164011629254842087 : 92C2EE804FE15859
2017-12-07	ATH	C-PRP	M32057/41077781112865417/77087620336164121/3266726955200737164011629254842087 : 1682F0776AB8AAE2
2017-10-02	kkmrkkblmbrbk	C-PRP	M32057/41077781112865417/77087620336164121/3266726955200737164011629254842087 : 1682F0776AB8AAE2
2017-09-21	Oliver Kruse	C-PRP	M32057/known_factors : 1682F0776AB8AAE2
2016-10-12	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2015-04-25	Serge Batalov	F-ECM	Factor: 3266726955200737164011629254842087
2008-08-26	-anonymous-	F-ECM	Factor: 77087620336164121