5 279 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
10559	5	13.4	old
929178169951	12	39.8	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	10798 / 16550

Estimated T-Level: 48.3 ⓘ

TF below 2^155 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	AAC7D458465B5083	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	AAC7D458465B5083	2	4463	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AAFD765AEB24EE86	2	634	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	AAFD765AEB24EE86	1	1417	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	AAFD765AEB24EE86	2	4600	5	3

History

Date	User	Type	Result
2025-04-27	masser	NF-PP1	Start=197/23, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5279/10559/929178169951 : AAFD765AEB24EE86
2023-12-13	mikr	NF-PM1	B1=500000000000, B2=1311295166917335600
2023-06-30	-anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-05-12	Jorge Coveiro	C-PRP	M5279/10559 : AAFD765AEB24EE86
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-04-17	Oliver Kruse	C-PRP	M5279/10559/929178169951 : AAFD765AEB24EE86
2017-10-12	kkmrkkblmbrbk	C-PRP	M5279/10559/929178169951 : AAC7D458465B5083
2017-09-21	Oliver Kruse	C-PRP	M5279/10559/929178169951 : AAC7D458465B5083
2017-09-21	Oliver Kruse	C-PRP	M5279/10559/929178169951 : AAC7D458465B5083