5 059 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
179331433	9	27.4	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	15497 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	F34F5F582E160DB2	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	F34F5F582E160DB2	1	716	1	3
Verified	2020-04-17	Oliver Kruse	8D10FB365C4811B6	1	3343	5	3
Verified	2024-02-03	Wentao Huang	8D10FB365C4811B6	1	3235	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5059/179331433 : 8D10FB365C4811B6 PRP: Verified PRP without proof (small exponent)
2023-07-09	mikr	NF-PM1	B1=300000000000, B2=1352371463840246850
2023-06-10	-Anonymous-	NF-PM1	B1=62000000000, B2=622276884390511350
2021-02-09	Joss	NF-PM1	B1=5600000000
2021-02-03	Joss	NF-PM1	B1=5000000000
2020-04-17	Oliver Kruse	C-PRP	M5059/179331433 : 8D10FB365C4811B6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5059/179331433 : F34F5F582E160DB2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5059/179331433 : F34F5F582E160DB2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5059/179331433 : F34F5F582E160DB2 PRP without proof (not generated)