4 447 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
71153	5	16.1	old
155573849	9	27.2	old
78133185209	11	36.2	old
410532670497221973550121	24	78.4	old
598222550497242756375642930033091976261520001812697	51	168.7	2020-09-30 23:26:32

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	15179 / 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	3352014D5A7D5051	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3352014D5A7D5051	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	3352014D5A7D5051	4	1538	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	16CC04415815786C	4	1063	5	3
Verified	No proof (small exponent)	2020-09-30	M Miller	16CC04415815786C	5	2261	5	3

History

Date	User	Type	Result
2025-05-15	masser	NF-PP1	Start=131/61, B1=2100000000, B2=2097900000000
2023-05-22	-anonymous-	NF-PM1	B1=72000000000, B2=721841185927912050
2020-09-30	M Miller	C-PRP	M4447/71153/155573849/78133185209/410532670497221973550121/598222550497242756375642930033091976261520001812697 : 16CC04415815786C
2020-09-30	Ryan Propper	F-ECM	Factor: 598222550497242756375642930033091976261520001812697
2020-04-17	Oliver Kruse	C-PRP	M4447/71153/155573849/78133185209/410532670497221973550121 : 16CC04415815786C
2017-12-07	ATH	C-PRP	M4447/71153/155573849/78133185209/410532670497221973550121 : 3352014D5A7D5051
2017-10-02	kkmrkkblmbrbk	C-PRP	M4447/71153/155573849/78133185209/410532670497221973550121 : 3352014D5A7D5051
2017-09-21	Oliver Kruse	C-PRP	M4447/known_factors : 3352014D5A7D5051
2009-10-25	Carsten Kossendey	F	Factor: 864898893883885842225473
2006-12-18	Hoca	F	Factor: 864898893883885842225473