6 353 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
38119	5	15.2	old
2172727	7	21.1	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	3113 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^148 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	1BD28E74EC8EE544	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	1BD28E74EC8EE544	2	4751	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E6145C5CF921ECD9	2	3150	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	E6145C5CF921ECD9	2	3872	5	3

History

Date	User	Type	Result
2025-03-19	masser	NF-PP1	Start=142/59, B1=1000000000, B2=999000000000
2025-03-11	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-02	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6353/38119/2172727 : E6145C5CF921ECD9
2023-08-04	-anonymous-	NF-PM1	B1=39000000000, B2=163105468633407300
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6353/38119/2172727 : E6145C5CF921ECD9
2017-10-12	kkmrkkblmbrbk	C-PRP	M6353/38119/2172727 : 1BD28E74EC8EE544
2017-09-21	Oliver Kruse	C-PRP	M6353/38119/2172727 : 1BD28E74EC8EE544
2017-09-21	Oliver Kruse	C-PRP	M6353/38119/2172727 : 1BD28E74EC8EE544