6 389 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
191671	6	17.5	old
31592314300589017572444851177	29	94.7	old
71181029950356429953240885968762486361	38	125.7	2016-11-13 09:20:36
242370770233003894112026314889412823858511	42	137.5	2021-03-25 02:36:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1291 / 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)	2017-09-20	kkmrkkblmbrbk	4918A6099B625C69	3	0	1	3
Verified (Factored)	2017-09-25	George Woltman	4918A6099B625C69	3	6254	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	4918A6099B625C69	3	0	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	C4C8BF7931F972F4	3	226	5	3
Verified	2021-03-25	ATH	C4C8BF7931F972F4	4	5502	5	3

History

Date	User	Type	Result
2023-08-06	-Anonymous-	NF-PM1	B1=38000000000, B2=159110268557139900
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-03-25	ATH	C-PRP	M6389/191671/31592314300589017572444851177/71181029950356429953240885968762486361/242370770233003894112026314889412823858511 : C4C8BF7931F972F4 PRP: Verified PRP without proof (small exponent)
2021-03-25	Ryan Propper	F-ECM	Factor: 242370770233003894112026314889412823858511 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=11028443202829942645)
2020-04-17	Oliver Kruse	C-PRP	M6389/191671/31592314300589017572444851177/71181029950356429953240885968762486361 : C4C8BF7931F972F4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6389/191671/31592314300589017572444851177/71181029950356429953240885968762486361 : 4918A6099B625C69 PRP: Verified PRP without proof (not generated)
2017-09-25	George Woltman	C-PRP	M6389/known_factors : 4918A6099B625C69 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M6389/191671/31592314300589017572444851177/71181029950356429953240885968762486361 : 4918A6099B625C69 PRP: Verified PRP without proof (not generated)
2016-11-13	kkmrkkblmbrbk	F-ECM	Factor: 71181029950356429953240885968762486361 / (ECM curve 765, B1=3000000, B2=300000000)