11 069 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13517255431582961	17	53.6	2008-08-26 19:58:34
185525855158372759	18	57.4	old
170483162380455621092302566717884879247401	42	137.0	2016-12-11 06:43:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	7A068A3A041BD895	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7A068A3A041BD895	3	0	1	3
Verified	2017-12-07	ATH	7A068A3A041BD895	3	2321	1	3
Verified	2020-04-17	Oliver Kruse	69AE9CD369D113F5	3	6337	5	3
Verified	2024-07-01	kkmrkkblmbrbk	69AE9CD369D113F5	3	7274	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-11	170483162380455621092302566717884879247401	10000000000	203242774494058
2022-12-29	170483162380455621092302566717884879247401	100000000000	122192573512709696

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M11069/13517255431582961/170483162380455621092302566717884879247401/185525855158372759 : 69AE9CD369D113F5 PRP: Verified PRP without proof (small exponent)
2022-12-29	-Anonymous-	F-PM1	Factor: 170483162380455621092302566717884879247401 / (P-1, B1=100000000000, B2=122192573512709700)
2020-04-17	Oliver Kruse	C-PRP	M11069/13517255431582961/185525855158372759/170483162380455621092302566717884879247401 : 69AE9CD369D113F5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M11069/13517255431582961/185525855158372759/170483162380455621092302566717884879247401 : 7A068A3A041BD895 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11069/13517255431582961/185525855158372759/170483162380455621092302566717884879247401 : 7A068A3A041BD895 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11069/185525855158372759/13517255431582961/170483162380455621092302566717884879247401 : 7A068A3A041BD895 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11069/185525855158372759/13517255431582961/170483162380455621092302566717884879247401 : 7A068A3A041BD895 PRP without proof (not generated)
2016-12-11	kkmrkkblmbrbk	F-PM1	Factor: 170483162380455621092302566717884879247401 / (P-1, B1=10000000000, B2=203242774494058)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F-PM1	Factor: 13517255431582961