11 197 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
268729	6	18.0	old
33954656167	11	35.0	2008-08-26 19:58:34
182250442164330666996086111	27	87.2	2008-10-16 23:57:25

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	4752 / 9201

Estimated T-Level: 42.6 ⓘ

TF below 2^136 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	1B2436B70AC9DD9C	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1B2436B70AC9DD9C	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1B2436B70AC9DD9C	3	9690	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5DFA5297221B0B61	3	2695	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5DFA5297221B0B61	3	636	5	3
Verified	No proof (small exponent)	2025-10-06	Dobri	5DFA5297221B0B61	3	8269	5	3

History

Date	User	Type	Result
2025-10-06	Dobri	C-PRP	M11197/268729/33954656167/182250442164330666996086111 : 5DFA5297221B0B61
2025-02-20	masser	NF-PP1	Start=116/13, B1=640000000, B2=639360000000
2025-02-13	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-25	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11197/182250442164330666996086111/268729/33954656167 : 5DFA5297221B0B61
2022-12-29	-anonymous-	F-PM1	Factor: 182250442164330666996086111 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11197/268729/33954656167/182250442164330666996086111 : 5DFA5297221B0B61
2017-12-07	ATH	C-PRP	M11197/268729/33954656167/182250442164330666996086111 : 1B2436B70AC9DD9C
2017-10-02	kkmrkkblmbrbk	C-PRP	M11197/268729/33954656167/182250442164330666996086111 : 1B2436B70AC9DD9C
2017-09-21	Oliver Kruse	C-PRP	M11197/268729/33954656167/182250442164330666996086111 : 1B2436B70AC9DD9C
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 182250442164330666996086111
2008-08-26	-anonymous-	F	Factor: 33954656167