6 197 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
297457	6	18.2	old
216017645783881769	18	57.6	old
1878357088117630850099189254529	31	100.6	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	3684 / 16550

Estimated T-Level: 46.1 ⓘ

TF below 2^148 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	D59A5034E45AC2C5	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D59A5034E45AC2C5	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D59A5034E45AC2C5	3	5254	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	360ED50C419F27AF	3	558	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	360ED50C419F27AF	3	1368	5	3

History

Date	User	Type	Result
2025-03-18	masser	NF-PP1	Start=123/59, B1=1000000000, B2=999000000000
2025-03-09	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-01	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6197/297457/216017645783881769/1878357088117630850099189254529 : 360ED50C419F27AF
2023-07-30	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M6197/297457/216017645783881769/1878357088117630850099189254529 : 360ED50C419F27AF
2017-12-07	ATH	C-PRP	M6197/297457/216017645783881769/1878357088117630850099189254529 : D59A5034E45AC2C5
2017-10-02	kkmrkkblmbrbk	C-PRP	M6197/297457/216017645783881769/1878357088117630850099189254529 : D59A5034E45AC2C5
2017-09-21	Oliver Kruse	C-PRP	M6197/known_factors : D59A5034E45AC2C5