13 627 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
872129	6	19.7	old
18960806820734300444249071	26	84.0	2008-08-29 02:24:33
10039271406900893259799545109097	32	103.0	2017-03-21 01:45:17
12837281026089846541215259630439	32	103.3	2010-06-14 10:12:04

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808
2017-03-21	10039271406900893259799545109097	10000000000	1206738685689916

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1572 / 9201

Estimated T-Level: 40.9 ⓘ

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	D65EC9270920B0A4	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D65EC9270920B0A4	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D65EC9270920B0A4	4	7034	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	19AEC77F2FCC302B	4	6210	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	19AEC77F2FCC302B	4	9246	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=80/61, B1=430000000, B2=429570000000
2025-02-11	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13627/10039271406900893259799545109097/12837281026089846541215259630439/18960806820734300444249071/872129 : 19AEC77F2FCC302B
2024-01-29	-anonymous-	F-PM1	Factors: 10039271406900893259799545109097,12837281026089846541215259630439 / B1=100000000000, B2=122154521813133810
2020-04-17	Oliver Kruse	C-PRP	M13627/872129/18960806820734300444249071/10039271406900893259799545109097/12837281026089846541215259630439 : 19AEC77F2FCC302B
2017-12-07	ATH	C-PRP	M13627/872129/18960806820734300444249071/10039271406900893259799545109097/12837281026089846541215259630439 : D65EC9270920B0A4
2017-10-02	kkmrkkblmbrbk	C-PRP	M13627/872129/18960806820734300444249071/10039271406900893259799545109097/12837281026089846541215259630439 : D65EC9270920B0A4
2017-09-21	Oliver Kruse	C-PRP	M13627/872129/18960806820734300444249071/12837281026089846541215259630439/10039271406900893259799545109097 : D65EC9270920B0A4
2017-09-21	Oliver Kruse	C-PRP	M13627/872129/18960806820734300444249071/12837281026089846541215259630439/10039271406900893259799545109097 : D65EC9270920B0A4
2017-03-21	kkmrkkblmbrbk	F-PM1	Factor: 10039271406900893259799545109097 / B1=10000000000, B2=1206738685689916
2010-06-14	James Hintz	F-ECM	Factor: 12837281026089846541215259630439
2008-08-29	-anonymous-	F-ECM	Factor: 18960806820734300444249071