403 861 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
22039412027137	14	44.3	old
23059298316412681	17	54.4	2014-10-31 13:37:30
3740597316936894614096837527	28	91.6	2025-03-28 20:00:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	333 / 640

Estimated T-Level: 27.6 ⓘ

TF below 2^87 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)	2017-09-23	Oliver Kruse	79AD01F107B5E466	2	0	1	3
Factored	No proof (small exponent)	2017-11-02	kkmrkkblmbrbk	79AD01F107B5E466	2	109589	1	3
Factored	No proof (small exponent)	2020-04-18	Oliver Kruse	1A3DA28FE30A4300	2	219631	5	3
Factored	Certified Good	2024-10-15	kkmrkkblmbrbk	1A3DA28FE30A4300	2	219635	5	3
Verified	Certified Good	2025-04-05	Jason Lynch	1A3DA28FE30A4300	3	74516	5	3

History

Date	User	Type	Result
2026-01-28	ViliamF	NF-PM1	B1=20000000, B2=821517526830
2025-04-05	Gufesa	CERT	Proof certified good
2025-04-05	Jason Lynch	C-PRP	M403861/22039412027137/23059298316412681/3740597316936894614096837527 : 1A3DA28FE30A4300 Proof Certified Good Proof Power: 5
2025-03-28	ZZ_Vitaly_Matin	F-ECM	Factor: 3740597316936894614096837527 / ECM curve 22, B1=435188, B2=63972636, Montgomery Sigma=7983356782952962
2024-12-31	PrimeNR	NF-PM1	B1=15000000, B2=683895352140
2024-10-15	Oliver Kruse	CERT	Proof certified good
2024-10-15	kkmrkkblmbrbk	C-PRP	M403861/22039412027137/23059298316412681 : 1A3DA28FE30A4300 Proof Certified Good Proof Power: 5
2020-04-18	Oliver Kruse	C-PRP	M403861/22039412027137/23059298316412681 : 1A3DA28FE30A4300
2017-11-02	kkmrkkblmbrbk	C-PRP	M403861/22039412027137/23059298316412681 : 79AD01F107B5E466 Proof Certified Good Proof Power: 5
2017-09-23	Oliver Kruse	C-PRP	M403861/22039412027137/23059298316412681 : 79AD01F107B5E466
2016-03-16	alpertron	NF-PM1	B1=3000000, B2=100000000, E=12
2014-10-31	TJAOI	F-ECM	Factor: 23059298316412681