12 589 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
14267541727	11	33.7	old
7193399306270108017	19	62.6	2008-08-29 02:24:31
496587385575461843980599234769	30	98.6	2008-10-25 20:59:11
208452731397745450733262544411711	33	107.4	2017-02-03 00:45:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1255 / 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	2017-09-21	Oliver Kruse	2F1FD11CBBB7A5A5	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2F1FD11CBBB7A5A5	4	0	1	3
Verified	2017-12-07	ATH	2F1FD11CBBB7A5A5	4	1784	1	3
Verified	2020-04-17	Oliver Kruse	1DCBC2E7AFC8FBF3	4	4925	5	3
Verified	2024-06-19	Dobri	1DCBC2E7AFC8FBF3	4	9862	5	3

P-1 factors

Date	Factor	B1	B2
2017-02-03	208452731397745450733262544411711	10000000000	205711343735730
2023-05-21	1499483733426651289185386640055328827483987689787087	100000000000	120417199046794656

History

Date	User	Type	Result
2024-06-19	Dobri	C-PRP	M12589/14267541727/7193399306270108017/496587385575461843980599234769/208452731397745450733262544411711 : 1DCBC2E7AFC8FBF3 PRP: Verified PRP without proof (small exponent)
2023-05-21	-Anonymous-	F-PM1	Factors: 7193399306270108017,208452731397745450733262544411711 / (P-1, B1=100000000000, B2=120417199046794650)
2020-04-17	Oliver Kruse	C-PRP	M12589/14267541727/7193399306270108017/496587385575461843980599234769/208452731397745450733262544411711 : 1DCBC2E7AFC8FBF3 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12589/14267541727/7193399306270108017/496587385575461843980599234769/208452731397745450733262544411711 : 2F1FD11CBBB7A5A5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12589/14267541727/7193399306270108017/496587385575461843980599234769/208452731397745450733262544411711 : 2F1FD11CBBB7A5A5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12589/14267541727/7193399306270108017/496587385575461843980599234769/208452731397745450733262544411711 : 2F1FD11CBBB7A5A5 PRP without proof (not generated)
2017-02-03	kkmrkkblmbrbk	F-PM1	Factor: 208452731397745450733262544411711 / (P-1, B1=10000000000, B2=205711343735730)
2008-10-25	Will Edgington	F-ECM	Factor: 496587385575461843980599234769
2008-08-29	-Anonymous-	F-ECM	Factor: 7193399306270108017