4 073 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
5669617	7	22.4	old
241426480343	12	37.8	old
127945054785082807	18	56.8	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	16550 / 16550
55	110000000	19683 / 40830

Estimated T-Level: 52.4 ⓘ

TF below 2^169 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	46A3375CCEF97319	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	46A3375CCEF97319	3	2878	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F7BD14AE908AD76E	3	734	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F7BD14AE908AD76E	3	2008	5	3

History

Date	User	Type	Result
2025-05-11	masser	NF-PP1	Start=159/23, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M4073/5669617/241426480343/127945054785082807 : F7BD14AE908AD76E
2023-05-16	-anonymous-	NF-PM1	B1=79000000000, B2=797496463397964330
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1004648912737470
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=239432550687330
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=95991711425610
2020-04-17	Oliver Kruse	C-PRP	M4073/5669617/241426480343/127945054785082807 : F7BD14AE908AD76E
2017-10-12	kkmrkkblmbrbk	C-PRP	M4073/5669617/241426480343/127945054785082807 : 46A3375CCEF97319
2017-09-21	Oliver Kruse	C-PRP	M4073/5669617/241426480343/127945054785082807 : 46A3375CCEF97319
2017-09-21	Oliver Kruse	C-PRP	M4073/5669617/241426480343/127945054785082807 : 46A3375CCEF97319
2009-10-25	Carsten Kossendey	F	Factor: 1368795677202838631