5 903 899 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
279199535090862297407	21	67.9	2023-10-24 07:50:55
83104321378389905012647	23	76.1	2011-06-17 18:17:57

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1999-12-15	RICK OTTE	9B499F541DA46D4A	3128270
Bad	2001-02-18	Dennis Burke	079208A9E00A30A3	1330471
Verified (Factored)	2001-06-17	Krzysztof Hudzik	9B499F541DA46D4A	5766505

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	9D9D3AC0523E6C61	1	0	1	3
Verified (Factored)	2018-09-12	kracker	9D9D3AC0523E6C61	1	5307556	1	3
Verified	2023-10-29	/r/counting	ED400E34F3017AC6	2	4283746	5	3

History

Date	User	Type	Result
2023-10-29	curtisc	CERT	PRP Certification Proof certified good
2023-10-29	/r/counting	C-PRP	M5903899/83104321378389905012647/279199535090862297407 : ED400E34F3017AC6 PRP proof power = 7 PRP: Verified Proof certified good
2023-10-24	TJAOI	F	Factor: 279199535090862297407 / TF: 67-68
2018-09-12	kracker	C-PRP	M5903899/83104321378389905012647 : 9D9D3AC0523E6C61 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M5903899/83104321378389905012647 : 9D9D3AC0523E6C61 PRP: Verified (Factored) PRP without proof (not generated)
2011-06-17	JimBa	F-ECM	Factor: 83104321378389905012647
2011-06-15	USAFSS	NF-PM1	B1=70000, B2=1120000, E=6