4 813 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
28879	5	14.8	old
1866474174628476911	19	60.7	old
968938352543223888983243194140719343208218143	45	149.4	2020-10-15 03:13:14

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	15256 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	BF07A96E67BB75DD	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BF07A96E67BB75DD	2	261	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	67005D1A6DD90ED3	2	3724	5	3
Verified	No proof (small exponent)	2020-10-15	tottenhoff	67005D1A6DD90ED3	3	4750	5	3

History

Date	User	Type	Result
2025-05-21	masser	NF-PP1	Start=169/61, B1=2100000000, B2=2097900000000
2023-05-29	-anonymous-	NF-PM1	B1=66000000000, B2=662102605034570700
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-15	tottenhoff	C-PRP	M4813/28879/1866474174628476911/968938352543223888983243194140719343208218143 : 67005D1A6DD90ED3
2020-10-15	Ryan Propper	F-ECM	Factor: 968938352543223888983243194140719343208218143
2020-04-17	Oliver Kruse	C-PRP	M4813/28879/1866474174628476911 : 67005D1A6DD90ED3
2017-10-12	kkmrkkblmbrbk	C-PRP	M4813/28879/1866474174628476911 : BF07A96E67BB75DD
2017-09-21	Oliver Kruse	C-PRP	M4813/28879/1866474174628476911 : BF07A96E67BB75DD
2017-09-21	Oliver Kruse	C-PRP	M4813/28879/1866474174628476911 : BF07A96E67BB75DD