14 387 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
374063	6	18.5	old
12329651029026521	17	53.5	2008-08-29 02:24:34
84123897529184005776286241377	29	96.1	2008-08-26 19:58:43
27562343134739559423772046255780767094401	41	134.3	2022-01-24 15:29:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1264 / 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	F1885BCE4C604844	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	F1885BCE4C604844	3	0	1	3
Verified (Factored)	2017-12-07	ATH	F1885BCE4C604844	3	873	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	CAA3F69216D0710C	3	10038	5	3
Verified	2022-01-24	SRJ2877	CAA3F69216D0710C	4	3293	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-24	27562343134739559423772046255780767094401	1000000000	3088390743498060
2023-11-30	27562343134739559423772046255780767094401	100000000000	122815096988293712

History

Date	User	Type	Result
2023-11-30	-Anonymous-	F-PM1	Factor: 27562343134739559423772046255780767094401 / (P-1, B1=100000000000, B2=122815096988293710)
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2022-01-24	SRJ2877	C-PRP	M14387/374063/12329651029026521/84123897529184005776286241377/27562343134739559423772046255780767094401 : CAA3F69216D0710C PRP: Verified PRP without proof (small exponent)
2022-01-24	Ethan O'Connor	F-PM1	Factor: 27562343134739559423772046255780767094401 / (P-1, B1=1000000000, B2=3088390743498060)
2020-04-17	Oliver Kruse	C-PRP	M14387/374063/12329651029026521/84123897529184005776286241377 : CAA3F69216D0710C PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14387/374063/12329651029026521/84123897529184005776286241377 : F1885BCE4C604844 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14387/374063/12329651029026521/84123897529184005776286241377 : F1885BCE4C604844 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14387/374063/84123897529184005776286241377/12329651029026521 : F1885BCE4C604844 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14387/374063/84123897529184005776286241377/12329651029026521 : F1885BCE4C604844 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-PM1	Factor: 12329651029026521
2008-08-26	-Anonymous-	F-ECM	Factor: 84123897529184005776286241377