5 113 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
44652248830618077673	20	65.3	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	12831 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 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	571F2A3FB078A689	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	571F2A3FB078A689	1	2227	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	195C4889326D1528	1	4521	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	195C4889326D1528	1	4170	5	3

History

Date	User	Type	Result
2025-04-20	masser	NF-PP1	Start=98/41, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5113/44652248830618077673 : 195C4889326D1528
2023-08-27	mikr	NF-PM1	B1=500000000000, B2=1311295166917335600
2023-06-12	-anonymous-	NF-PM1	B1=61000000000, B2=612320454265870350
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	ANONYMOUS	NF-PM1	B1=101101101, B2=242017973957760
2020-04-17	Oliver Kruse	C-PRP	M5113/44652248830618077673 : 195C4889326D1528
2017-10-12	kkmrkkblmbrbk	C-PRP	M5113/44652248830618077673 : 571F2A3FB078A689
2017-09-21	Oliver Kruse	C-PRP	M5113/44652248830618077673 : 571F2A3FB078A689
2017-09-21	Oliver Kruse	C-PRP	M5113/44652248830618077673 : 571F2A3FB078A689