7 927 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
1154546622721	13	40.1	old
1163347384223	13	40.1	old
344222240277888978604350407	27	88.2	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	12342 / 16550

Estimated T-Level: 48.7 ⓘ

TF below 2^157 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	E8AE4260A80FA700	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E8AE4260A80FA700	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E8AE4260A80FA700	3	2560	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A7566ADFBD576BEF	3	6946	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A7566ADFBD576BEF	3	3708	5	3

History

Date	User	Type	Result
2025-05-30	masser	NF-PP1	Start=185/29, B1=1300000000, B2=1298700000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M7927/1154546622721/1163347384223/344222240277888978604350407 : A7566ADFBD576BEF
2023-05-23	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2021-01-23	Joss	NF-PM1	B1=128000000, B2=1310720000000, E=12
2021-01-19	Joss	NF-PM1	B1=128000000, B2=32768000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M7927/1154546622721/1163347384223/344222240277888978604350407 : A7566ADFBD576BEF
2017-12-07	ATH	C-PRP	M7927/1154546622721/1163347384223/344222240277888978604350407 : E8AE4260A80FA700
2017-10-02	kkmrkkblmbrbk	C-PRP	M7927/1154546622721/1163347384223/344222240277888978604350407 : E8AE4260A80FA700
2017-09-21	Oliver Kruse	C-PRP	M7927/known_factors : E8AE4260A80FA700