6 997 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
2169071	7	21.0	old
3572164417	10	31.7	old
67983747617	11	36.0	old
9635235250969	13	43.1	old
2992217858291956215986479	25	81.3	old
15435253699168481013323287	26	83.7	old
4560686028672621371605189087078962146041	40	131.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	256EEDB8F0E0F7BE	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	256EEDB8F0E0F7BE	7	0	1	3
Verified	2017-12-07	ATH	256EEDB8F0E0F7BE	7	4744	1	3
Verified	2020-04-17	Oliver Kruse	BBC2CD988C8BA82F	7	2420	5	3
Verified	2024-02-03	Wentao Huang	BBC2CD988C8BA82F	7	4411	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : BBC2CD988C8BA82F PRP: Verified PRP without proof (small exponent)
2023-08-20	-Anonymous-	NF-PM1	B1=35000000000, B2=143589103727719650
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : BBC2CD988C8BA82F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : 256EEDB8F0E0F7BE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : 256EEDB8F0E0F7BE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6997/known_factors : 256EEDB8F0E0F7BE PRP without proof (not generated)