7 219 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
164362193	9	27.3	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	2620 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	008DD05AABF09DB7	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	008DD05AABF09DB7	1	2881	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	03B3644920ADDC2C	1	6369	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	03B3644920ADDC2C	1	1596	5	3

History

Date	User	Type	Result
2025-04-11	masser	NF-PP1	Start=72/59, B1=830000000, B2=829170000000
2025-03-22	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-14	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7219/164362193 : 03B3644920ADDC2C
2023-08-26	-anonymous-	NF-PM1	B1=33000000000, B2=136594664543487150
2021-12-08	onlinegame	NF-PM1	B1=1000000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M7219/164362193 : 03B3644920ADDC2C
2017-10-12	kkmrkkblmbrbk	C-PRP	M7219/164362193 : 008DD05AABF09DB7
2017-09-21	Oliver Kruse	C-PRP	M7219/164362193 : 008DD05AABF09DB7
2017-09-21	Oliver Kruse	C-PRP	M7219/164362193 : 008DD05AABF09DB7