8 293 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
199033	6	17.6	old
6874946759	10	32.7	old
620852653708545890773593391643690561	36	118.9	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	5624 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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)	2017-09-27	Oliver Kruse	BBBBC6896552A284	3	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	BBBBC6896552A284	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BBBBC6896552A284	3	6687	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7674E8C2E8B02D12	3	8	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	7674E8C2E8B02D12	3	4084	5	3

History

Date	User	Type	Result
2025-05-17	masser	NF-PP1	Start=130/47, B1=1300000000, B2=1298700000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M8293/199033/620852653708545890773593391643690561/6874946759 : 7674E8C2E8B02D12
2023-08-30	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8293/199033/6874946759/620852653708545890773593391643690561 : 7674E8C2E8B02D12
2017-10-12	kkmrkkblmbrbk	C-PRP	M8293/199033/6874946759/620852653708545890773593391643690561 : BBBBC6896552A284
2017-10-09	Chang Chia-Tche	C-PRP	M8293/known_factors : BBBBC6896552A284
2017-09-27	Oliver Kruse	C-PRP	M8293/199033/6874946759/620852653708545890773593391643690561 : BBBBC6896552A284
2017-09-25	Oliver Kruse	C-PRP	M8293/199033/6874946759/620852653708545890773593391643690561 : BBBBC6896552A284