314 693 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
10469475186710143	17	53.2	old
12270509286963536190401	23	73.4	2014-09-19 12:42:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	171 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 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)	2017-09-24	Oliver Kruse	5BEB49A0E24F6C67	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	Oliver Kruse	5BEB49A0E24F6C67	2	285343	1	3
Verified	No proof (small exponent)	2017-12-11	ATH	5BEB49A0E24F6C67	2	63108	1	3
Verified	No proof (small exponent)	2020-04-18	Oliver Kruse	B953C3C7FB9A9384	2	111418	5	3
Verified	Certified Good	2024-08-29	kkmrkkblmbrbk	B953C3C7FB9A9384	2	164668	5	3

History

Date	User	Type	Result
2025-11-27	ViliamF	NF-PM1	B1=25000000, B2=509586937860
2024-08-29	Daniel_Harnden	CERT	Proof certified good
2024-08-29	kkmrkkblmbrbk	C-PRP	Proof Certified Good Proof Power: 5
2021-05-11	George Woltman	NF-PP1	Start=2/7, B1=7500000, B2=592500000
2021-05-07	George Woltman	NF-PM1	B1=15000000, B2=1305000000
2020-04-18	Oliver Kruse	C-PRP	M314693/10469475186710143/12270509286963536190401 : B953C3C7FB9A9384
2017-12-11	ATH	C-PRP	M314693/10469475186710143/12270509286963536190401 : 5BEB49A0E24F6C67
2017-10-12	Oliver Kruse	C-PRP	M314693/10469475186710143/12270509286963536190401 : 5BEB49A0E24F6C67
2017-09-22	Oliver Kruse	C-PRP	M314693/10469475186710143/12270509286963536190401 : 5BEB49A0E24F6C67
2014-09-19	TJAOI	F-ECM	Factor: 12270509286963536190401