14 177 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
74259127	8	26.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1428 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	AA44C4F6BAD8C0D6	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	AA44C4F6BAD8C0D6	1	10171	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	39FF6866B3A68673	1	12767	5	3
Verified	No proof (small exponent)	2023-06-11	LordJulius	39FF6866B3A68673	1	7367	5	3

History

Date	User	Type	Result
2025-02-16	masser	NF-PP1	Start=173/59, B1=355000000, B2=354645000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-19	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-06-11	LordJulius	C-PRP	M14177/74259127 : 39FF6866B3A68673
2023-05-23	JacobZ	NF-PM1	B1=7700000000, B2=32522539163164050
2022-01-24	Ethan O'Connor	NF-PM1	B1=1000000000, B2=3088390743498060
2020-04-17	Oliver Kruse	C-PRP	M14177/74259127 : 39FF6866B3A68673
2017-10-12	kkmrkkblmbrbk	C-PRP	M14177/74259127 : AA44C4F6BAD8C0D6
2017-09-21	Oliver Kruse	C-PRP	M14177/74259127 : AA44C4F6BAD8C0D6
2017-09-21	Oliver Kruse	C-PRP	M14177/74259127 : AA44C4F6BAD8C0D6