1 896 823 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
2535278431418696596393	22	71.1	2015-10-08 03:44:24
89846930199064704056081	23	76.2	2021-07-14 13:31:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Bad		Alex and Nick Myrman	D5BB	0
Verified (Factored)		Barry Reesor	5D7A9C7FE1F4D5BA	0
Verified (Factored)	2002-05-25	S57483	5D7A9C7FE1F4D5BA	1860937

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	2C25381697AF81FD	1	0	1	3
Verified (Factored)	2017-10-19	Oliver Kruse	2C25381697AF81FD	1	1576321	1	3
Verified	2021-07-15	/r/counting	9A37161272B6A32E	2	1385167	5	3

P-1 factors

Date	Factor	B1	B2
2015-10-08	2535278431418696596393	500000	15000000

History

Date	User	Type	Result
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2022-03-08	LordJulius	NF	no factor from 2^58 to 2^60
2021-07-15	Ben Delo	CERT	PRP Certification Proof certified good
2021-07-15	/r/counting	C-PRP	M1896823/2535278431418696596393/89846930199064704056081 : 9A37161272B6A32E PRP proof power = 7 PRP: Verified Proof certified good
2021-07-14	_p95holder_	F-ECM	Factor: 89846930199064704056081 / (ECM curve 5, B1=50000, B2=5000000)
2017-10-19	Oliver Kruse	C-PRP	M1896823/2535278431418696596393 : 2C25381697AF81FD PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1896823/2535278431418696596393 : 2C25381697AF81FD PRP: Verified (Factored) PRP without proof (not generated)
2015-10-08	Bruno Victal	F-PM1	Factor: 2535278431418696596393 / (P-1, B1=500000, B2=15000000, E=12)
2015-09-13	ramgeis	NF	no factor from 2^65 to 2^66
2015-05-11	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-11	snme2pm1	NF	no factor from 2^63 to 2^64
2012-01-22	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-10	Architects Cubed	NF	no factor from 2^60 to 2^61