11 069 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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

P-1 factors

Date	Factors	B1	B2
2022-12-29	No new factors discovered	100000000000	122192573512709696

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	2418 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	7A068A3A041BD895	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	7A068A3A041BD895	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	7A068A3A041BD895	3	2321	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	69AE9CD369D113F5	3	6337	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	69AE9CD369D113F5	3	7274	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=181/59, B1=640000000, B2=639360000000
2025-02-14	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-26	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11069/13517255431582961/170483162380455621092302566717884879247401/185525855158372759 : 69AE9CD369D113F5
2022-12-29	-anonymous-	F-PM1	Factor: 170483162380455621092302566717884879247401 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11069/13517255431582961/185525855158372759/170483162380455621092302566717884879247401 : 69AE9CD369D113F5
2017-12-07	ATH	C-PRP	M11069/13517255431582961/185525855158372759/170483162380455621092302566717884879247401 : 7A068A3A041BD895
2017-10-02	kkmrkkblmbrbk	C-PRP	M11069/13517255431582961/185525855158372759/170483162380455621092302566717884879247401 : 7A068A3A041BD895
2017-09-21	Oliver Kruse	C-PRP	M11069/185525855158372759/13517255431582961/170483162380455621092302566717884879247401 : 7A068A3A041BD895
2017-09-21	Oliver Kruse	C-PRP	M11069/185525855158372759/13517255431582961/170483162380455621092302566717884879247401 : 7A068A3A041BD895
2016-12-11	kkmrkkblmbrbk	F-PM1	Factor: 170483162380455621092302566717884879247401 / B1=10000000000, B2=203242774494058
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F-PM1	Factor: 13517255431582961