6 977 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 7 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
41863	5	15.4	old
209311	6	17.7	old
389414279	9	28.5	old
880699495783	12	39.7	old
32078239749697	14	44.9	old
429365175323339351	18	58.6	old
16388482910075438141359	23	73.8	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	8201 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	3BD5E07352C6983E	7	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3BD5E07352C6983E	7	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3BD5E07352C6983E	7	2688	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3CF167E453EA582A	7	6007	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3CF167E453EA582A	7	1458	5	3

History

Date	User	Type	Result
2025-03-24	masser	NF-PP1	Start=177/23, B1=1000000000, B2=999000000000
2025-03-16	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-07	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6977/41863/209311/389414279/880699495783/32078239749697/429365175323339351/16388482910075438141359 : 3CF167E453EA582A
2023-08-20	-anonymous-	NF-PM1	B1=35000000000, B2=143589103727719650
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6977/41863/209311/389414279/880699495783/32078239749697/429365175323339351/16388482910075438141359 : 3CF167E453EA582A
2017-12-07	ATH	C-PRP	M6977/41863/209311/389414279/880699495783/32078239749697/429365175323339351/16388482910075438141359 : 3BD5E07352C6983E
2017-10-02	kkmrkkblmbrbk	C-PRP	M6977/41863/209311/389414279/880699495783/32078239749697/429365175323339351/16388482910075438141359 : 3BD5E07352C6983E
2017-09-21	Oliver Kruse	C-PRP	M6977/known_factors : 3BD5E07352C6983E
2009-10-25	Carsten Kossendey	F-PM1	Factor: 109457317692716643029441368038959