1 601 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
158098751	9	27.2	old
9839849981808839	16	53.1	old
6629233811254755661010566946657617349801918449	46	152.2	2011-12-13 19:36:06
651721340802484774748465566059561124091876550241	48	158.8	2012-01-01 14:31:50

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	159720 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 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	E2D6535AE293EAC2	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E2D6535AE293EAC2	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E2D6535AE293EAC2	4	1355	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6D06EB64C2535734	4	139	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	6D06EB64C2535734	4	210	5	3

History

Date	User	Type	Result
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2021-03-27	nordi	NF-PM1	B1=1000000000000, B2=2232843418649129478
2020-08-12	_p95holder_	C-PRP	M1601/158098751/9839849981808839/6629233811254755661010566946657617349801918449/651721340802484774748465566059561124091876550241 : 6D06EB64C2535734
2020-04-17	Oliver Kruse	C-PRP	M1601/158098751/9839849981808839/6629233811254755661010566946657617349801918449/651721340802484774748465566059561124091876550241 : 6D06EB64C2535734
2017-12-07	ATH	C-PRP	M1601/158098751/9839849981808839/6629233811254755661010566946657617349801918449/651721340802484774748465566059561124091876550241 : E2D6535AE293EAC2
2017-10-02	kkmrkkblmbrbk	C-PRP	M1601/158098751/9839849981808839/6629233811254755661010566946657617349801918449/651721340802484774748465566059561124091876550241 : E2D6535AE293EAC2
2017-09-21	Oliver Kruse	C-PRP	M1601/known_factors : E2D6535AE293EAC2
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2012-01-01	Michael Kenn	F-ECM	Factor: 651721340802484774748465566059561124091876550241
2011-12-13	Michael Kenn	F-ECM	Factor: 6629233811254755661010566946657617349801918449