12 539 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
100313	6	16.6	old
667726328345929	15	49.2	2008-08-26 19:58:37
3422986686240198887	19	61.6	2008-08-29 02:24:31
2694628368126456249148051504870669385396743	43	141.0	2023-05-11 11:33:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1259 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	8317BA816586CDFE	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	8317BA816586CDFE	3	0	1	3
Verified (Factored)	2017-12-07	ATH	8317BA816586CDFE	3	12275	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	0D489EB2A24864E1	3	9321	5	3
Verified	2023-05-11	Anton Repko	0D489EB2A24864E1	4	8929	5	3
Verified	2023-05-11	retsu	0D489EB2A24864E1	4	4167	5	3
Verified	2023-05-11	retsu	1DC61ECF28607DED	4	4890	5	5
Verified	2023-05-11	retsu	1DC61ECF28607DED	4	9662	5	5
Verified	2023-05-11	retsu	A5A6794DB19CF42C	4	2121	5	7
Verified	2023-05-11	retsu	A5A6794DB19CF42C	4	11104	5	7

P-1 factors

Date	Factor	B1	B2
2023-05-11	2694628368126456249148051504870669385396743	100000000000	120417199046794656

History

Date	User	Type	Result
2023-05-11	retsu	C-PRP	M12539/100313/667726328345929/3422986686240198887/2694628368126456249148051504870669385396743 : A5A6794DB19CF42C PRP: Verified PRP without proof (small exponent)
2023-05-11	retsu	C-PRP	M12539/100313/667726328345929/3422986686240198887/2694628368126456249148051504870669385396743 : A5A6794DB19CF42C PRP: Verified PRP without proof (small exponent)
2023-05-11	retsu	C-PRP	M12539/100313/667726328345929/3422986686240198887/2694628368126456249148051504870669385396743 : 1DC61ECF28607DED PRP: Verified PRP without proof (small exponent)
2023-05-11	retsu	C-PRP	M12539/100313/667726328345929/3422986686240198887/2694628368126456249148051504870669385396743 : 1DC61ECF28607DED PRP: Verified PRP without proof (small exponent)
2023-05-11	retsu	C-PRP	M12539/100313/667726328345929/3422986686240198887/2694628368126456249148051504870669385396743 : 0D489EB2A24864E1 PRP: Verified PRP without proof (small exponent)
2023-05-11	Anton Repko	C-PRP	M12539/100313/667726328345929/3422986686240198887/2694628368126456249148051504870669385396743 : 0D489EB2A24864E1 PRP: Verified PRP without proof (small exponent)
2023-05-11	Anton Repko	F-PM1	Factor: 2694628368126456249148051504870669385396743 / (P-1, B1=100000000000, B2=120417199046794650)
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12539/100313/667726328345929/3422986686240198887 : 0D489EB2A24864E1 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12539/100313/667726328345929/3422986686240198887 : 8317BA816586CDFE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12539/100313/667726328345929/3422986686240198887 : 8317BA816586CDFE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12539/known_factors : 8317BA816586CDFE PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 3422986686240198887
2008-08-26	-Anonymous-	F-PM1	Factor: 667726328345929