6 997 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
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	9201 / 9201
50	44000000	8142 / 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	256EEDB8F0E0F7BE	7	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	256EEDB8F0E0F7BE	7	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	256EEDB8F0E0F7BE	7	4744	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BBC2CD988C8BA82F	7	2420	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	BBC2CD988C8BA82F	7	4411	5	3

History

Date	User	Type	Result
2025-03-24	masser	NF-PP1	Start=106/43, 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	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : BBC2CD988C8BA82F
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
2017-12-07	ATH	C-PRP	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : 256EEDB8F0E0F7BE
2017-10-02	kkmrkkblmbrbk	C-PRP	M6997/2169071/3572164417/67983747617/9635235250969/2992217858291956215986479/15435253699168481013323287/4560686028672621371605189087078962146041 : 256EEDB8F0E0F7BE
2017-09-21	Oliver Kruse	C-PRP	M6997/known_factors : 256EEDB8F0E0F7BE
2009-10-25	Carsten Kossendey	F	Factor: 526756992616354837834885519