11 321 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
29230823	8	24.8	old
29836836607735198524911	23	74.7	2008-08-29 02:24:27
26410502170494462350193007	26	84.4	2008-08-29 02:24:27
53266428394006589216614911158187223	35	115.4	2019-01-15 03:06:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1727 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	F1AA5BD8D00F2BAA	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	F1AA5BD8D00F2BAA	3	0	1	3
Verified (Factored)	2017-12-07	ATH	F1AA5BD8D00F2BAA	3	2379	1	3
Verified	2019-01-16	M8909387	5CDB71362E3578DE	4	226	5	3
Verified	2019-01-18	ANONYMOUS	5CDB71362E3578DE	4	6739	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-20	29836836607735198524911	100000000000	122192573512709696

History

Date	User	Type	Result
2023-01-20	-Anonymous-	F-PM1	Factor: 29836836607735198524911 / (P-1, B1=100000000000, B2=122192573512709700)
2019-01-18	ANONYMOUS	C-PRP	M11321/29230823/29836836607735198524911/26410502170494462350193007/53266428394006589216614911158187223 : 5CDB71362E3578DE PRP: Verified PRP without proof (small exponent)
2019-01-16	M8909387	C-PRP	M11321/29230823/29836836607735198524911/26410502170494462350193007/53266428394006589216614911158187223 : 5CDB71362E3578DE PRP: Verified PRP without proof (small exponent)
2019-01-15	James Hintz	F-ECM	Factor: 53266428394006589216614911158187223 / (ECM curve 548, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M11321/29230823/29836836607735198524911/26410502170494462350193007 : F1AA5BD8D00F2BAA PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11321/29230823/29836836607735198524911/26410502170494462350193007 : F1AA5BD8D00F2BAA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11321/29230823/29836836607735198524911/26410502170494462350193007 : F1AA5BD8D00F2BAA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11321/29230823/29836836607735198524911/26410502170494462350193007 : F1AA5BD8D00F2BAA PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 26410502170494462350193007
2008-08-29	-Anonymous-	F-ECM	Factor: 29836836607735198524911