13 999 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
139991	6	17.1	old
2037365278166259071	19	60.8	2008-08-29 02:24:33
234534815176453313037359	24	77.6	2008-08-29 02:24:33
59895546905398934285004240937	29	95.6	2010-07-03 13:20:21

P-1 factors

Date	Factors	B1	B2
2023-11-30	No new factors discovered	100000000000	124499752678561264

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1519 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	36C3201F85FE336D	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	36C3201F85FE336D	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	36C3201F85FE336D	4	9730	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	67FDE02EA565C4C9	4	7068	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	67FDE02EA565C4C9	4	7880	5	3

History

Date	User	Type	Result
2025-02-18	masser	NF-PP1	Start=85/47, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13999/139991/2037365278166259071/234534815176453313037359/59895546905398934285004240937 : 67FDE02EA565C4C9
2023-11-30	-anonymous-	F-PM1	Factors: 2037365278166259071,59895546905398934285004240937 / B1=100000000000, B2=124499752678561260
2023-05-22	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13999/139991/2037365278166259071/234534815176453313037359/59895546905398934285004240937 : 67FDE02EA565C4C9
2017-12-07	ATH	C-PRP	M13999/139991/2037365278166259071/234534815176453313037359/59895546905398934285004240937 : 36C3201F85FE336D
2017-10-02	kkmrkkblmbrbk	C-PRP	M13999/139991/2037365278166259071/234534815176453313037359/59895546905398934285004240937 : 36C3201F85FE336D
2017-09-21	Oliver Kruse	C-PRP	M13999/139991/2037365278166259071/234534815176453313037359/59895546905398934285004240937 : 36C3201F85FE336D
2017-09-21	Oliver Kruse	C-PRP	M13999/139991/2037365278166259071/234534815176453313037359/59895546905398934285004240937 : 36C3201F85FE336D
2010-07-03	James Hintz	F-ECM	Factor: 59895546905398934285004240937
2008-08-29	-anonymous-	F-ECM	Factor: 234534815176453313037359
2008-08-29	-anonymous-	F-ECM	Factor: 2037365278166259071