7 879 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
259250617	9	27.9	old
139407648460616142019457729	27	86.8	old
5918461213154020418616563183	28	92.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6433 / 9201

Estimated T-Level: 43.5 ⓘ

TF below 2^139 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	B0D434A49EBC7AAD	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B0D434A49EBC7AAD	3	0	1	3
Verified	2017-12-07	ATH	B0D434A49EBC7AAD	3	6333	1	3
Verified	2020-04-17	Oliver Kruse	46699DC17F6C51A2	3	63	5	3
Verified	2024-02-03	Wentao Huang	46699DC17F6C51A2	3	5930	5	3

History

Date	User	Type	Result
2024-04-07	masser	NF-PM1	B1=50000000000, B2=12291616926358770
2024-02-03	Wentao Huang	C-PRP	M7879/259250617/139407648460616142019457729/5918461213154020418616563183 : 46699DC17F6C51A2 PRP: Verified PRP without proof (small exponent)
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7879/259250617/139407648460616142019457729/5918461213154020418616563183 : 46699DC17F6C51A2 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7879/259250617/139407648460616142019457729/5918461213154020418616563183 : B0D434A49EBC7AAD PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7879/259250617/139407648460616142019457729/5918461213154020418616563183 : B0D434A49EBC7AAD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7879/known_factors : B0D434A49EBC7AAD PRP without proof (not generated)