11 437 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
309142111	9	28.2	old
186898856327	12	37.4	2008-08-26 19:58:34
197852531906119784209326649	27	87.4	2008-10-16 23:57:25

P-1 factors

Date	Factors	B1	B2
2023-01-20	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	3884 / 9201

Estimated T-Level: 42.1 ⓘ

TF below 2^135 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	5143516A1F178C26	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5143516A1F178C26	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5143516A1F178C26	3	10376	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	738B43AA312D89C3	3	11053	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	738B43AA312D89C3	3	605	5	3

History

Date	User	Type	Result
2025-03-15	masser	NF-PP1	Start=183/31, B1=430000000, B2=43000000000
2025-03-01	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-23	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11437/186898856327/197852531906119784209326649/309142111 : 738B43AA312D89C3
2023-01-20	-anonymous-	F-PM1	Factor: 197852531906119784209326649 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11437/309142111/186898856327/197852531906119784209326649 : 738B43AA312D89C3
2017-12-07	ATH	C-PRP	M11437/309142111/186898856327/197852531906119784209326649 : 5143516A1F178C26
2017-10-02	kkmrkkblmbrbk	C-PRP	M11437/309142111/186898856327/197852531906119784209326649 : 5143516A1F178C26
2017-09-21	Oliver Kruse	C-PRP	M11437/309142111/186898856327/197852531906119784209326649 : 5143516A1F178C26
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 197852531906119784209326649
2008-08-26	-anonymous-	F	Factor: 186898856327