4 547 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
205815409	9	27.6	old
7235328094086889	16	52.7	old
88814460311516609	17	56.3	old
21867365663930621207	20	64.2	old
240311186947862936452919	24	77.7	old
69556982223124202553831254472878592466035263062004623	53	175.5	2021-07-20 23:48:23

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	18829 / 40830

Estimated T-Level: 52.3 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	DF53FF3B6D93EC31	5	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	DF53FF3B6D93EC31	5	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	DF53FF3B6D93EC31	5	161	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	7141A8F2F06D2E68	5	1954	5	3
Verified	No proof (small exponent)	2021-07-21	mikr	7141A8F2F06D2E68	6	53	5	3
Verified	No proof (small exponent)	2021-07-21	tanaydin	7141A8F2F06D2E68	6	222	5	3

History

Date	User	Type	Result
2025-05-17	masser	NF-PP1	Start=80/53, B1=2100000000, B2=2097900000000
2023-05-24	-anonymous-	NF-PM1	B1=70000000000, B2=701928325533134700
2021-07-21	tanaydin	C-PRP	M4547/205815409/7235328094086889/88814460311516609/21867365663930621207/240311186947862936452919/69556982223124202553831254472878592466035263062004623 : 7141A8F2F06D2E68
2021-07-21	mikr	C-PRP	M4547/205815409/7235328094086889/88814460311516609/21867365663930621207/240311186947862936452919/69556982223124202553831254472878592466035263062004623 : 7141A8F2F06D2E68
2021-07-20	Ryan Propper	F-ECM	Factor: 69556982223124202553831254472878592466035263062004623
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4547/205815409/7235328094086889/88814460311516609/21867365663930621207/240311186947862936452919 : 7141A8F2F06D2E68
2017-12-07	ATH	C-PRP	M4547/205815409/7235328094086889/88814460311516609/21867365663930621207/240311186947862936452919 : DF53FF3B6D93EC31
2017-10-02	kkmrkkblmbrbk	C-PRP	M4547/205815409/7235328094086889/88814460311516609/21867365663930621207/240311186947862936452919 : DF53FF3B6D93EC31
2017-09-21	Oliver Kruse	C-PRP	M4547/known_factors : DF53FF3B6D93EC31