1 721 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
175543	6	17.4	old
1487078239	10	30.5	old
6160040912810013239138263	25	82.3	old
13017424887805605413748227640619647231549577734497	50	163.2	2012-02-03 16:45:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	80817 / 194238

Estimated T-Level: 62.1 ⓘ

TF below 2^201 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)	2017-09-21	Oliver Kruse	BDDC50137870CFD8	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BDDC50137870CFD8	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	BDDC50137870CFD8	4	398	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	12F73375845999F6	4	215	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	12F73375845999F6	4	1126	5	3

History

Date	User	Type	Result
2022-08-29	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-23	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1721/175543/1487078239/6160040912810013239138263/13017424887805605413748227640619647231549577734497 : 12F73375845999F6
2020-04-17	Oliver Kruse	C-PRP	M1721/175543/1487078239/6160040912810013239138263/13017424887805605413748227640619647231549577734497 : 12F73375845999F6
2017-12-07	ATH	C-PRP	M1721/175543/1487078239/6160040912810013239138263/13017424887805605413748227640619647231549577734497 : BDDC50137870CFD8
2017-10-02	kkmrkkblmbrbk	C-PRP	M1721/175543/1487078239/6160040912810013239138263/13017424887805605413748227640619647231549577734497 : BDDC50137870CFD8
2017-09-21	Oliver Kruse	C-PRP	M1721/known_factors : BDDC50137870CFD8
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2012-02-03	Michael Kenn	F-ECM	Factor: 13017424887805605413748227640619647231549577734497