3 011 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
2023393	7	20.9	old
3105262367	10	31.5	old
1113501938719	13	40.0	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	15987 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	49F0361C5063CBEA	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	49F0361C5063CBEA	3	211	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	49F0361C5063CBEA	3	2144	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B1F25C2EA755A4BB	3	2837	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	B1F25C2EA755A4BB	3	2692	5	3

History

Date	User	Type	Result
2025-04-20	masser	NF-PP1	Start=172/31, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3011/2023393/3105262367/1113501938719 : B1F25C2EA755A4BB
2022-03-07	mikr	NF-PM1	B1=60000000000, B2=314806422904433460
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3011/2023393/3105262367/1113501938719 : B1F25C2EA755A4BB
2017-12-07	ATH	C-PRP	M3011/2023393/3105262367/1113501938719 : 49F0361C5063CBEA
2017-10-12	kkmrkkblmbrbk	C-PRP	M3011/2023393/3105262367/1113501938719 : 49F0361C5063CBEA
2017-09-21	Oliver Kruse	C-PRP	M3011/2023393/3105262367/1113501938719 : 49F0361C5063CBEA
2017-09-21	Oliver Kruse	C-PRP	M3011/2023393/3105262367/1113501938719 : 49F0361C5063CBEA