665 089 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
657428953159361125849	21	69.2	2007-11-12 02:14:03
11112629834869095615737	23	73.2	2015-09-18 09:54:50

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	215 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	6D3471AB04CAB753	2	0	1	3
Verified	2017-09-30	alpertron	6D3471AB04CAB753	2	0	1	3
Verified	2017-12-08	ATH	6D3471AB04CAB753	2	552425	1	3
Unverified (Reliable)	2020-04-20	Oliver Kruse	6E91EDA74DD679__	2	311426	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-20	Oliver Kruse	C-PRP	M665089/657428953159361125849/11112629834869095615737 : 6E91EDA74DD679__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-08	ATH	C-PRP	M665089/657428953159361125849/11112629834869095615737 : 6D3471AB04CAB753 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M665089/11112629834869095615737/657428953159361125849 : 6D3471AB04CAB753 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M665089/657428953159361125849/11112629834869095615737 : 6D3471AB04CAB753 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M665089/657428953159361125849/11112629834869095615737 : 6D3471AB04CAB753 PRP without proof (not generated)
2015-09-18	TJAOI	F-ECM	Factor: 11112629834869095615737 / (ECM curve 21, B1=50000, B2=5000000)
2007-11-12	James Heinrich	F-ECM	Factor: 657428953159361125849