7 297 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
1868033	7	20.8	old
2862926694808141183	19	61.3	old
14777984197462152107407797304252796807460991	44	143.4	2017-02-14 19:38:20

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	2684 / 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	09527F5715A72D1E	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	09527F5715A72D1E	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	09527F5715A72D1E	3	1221	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E79DF57488DF2E64	3	80	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	E79DF57488DF2E64	3	2291	5	3

History

Date	User	Type	Result
2025-04-03	masser	NF-PP1	Start=120/71, B1=830000000, B2=829170000000
2025-03-23	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-15	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7297/1868033/2862926694808141183/14777984197462152107407797304252796807460991 : E79DF57488DF2E64
2023-08-30	-anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7297/1868033/2862926694808141183/14777984197462152107407797304252796807460991 : E79DF57488DF2E64
2017-12-07	ATH	C-PRP	M7297/1868033/2862926694808141183/14777984197462152107407797304252796807460991 : 09527F5715A72D1E
2017-10-02	kkmrkkblmbrbk	C-PRP	M7297/1868033/2862926694808141183/14777984197462152107407797304252796807460991 : 09527F5715A72D1E
2017-09-21	Oliver Kruse	C-PRP	M7297/known_factors : 09527F5715A72D1E
2017-02-14	kkmrkkblmbrbk	F-ECM	Factor: 14777984197462152107407797304252796807460991