6 257 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2554089851655343	16	51.2	old
193015864907273692130344790106994437079	39	127.2	old
24881990100834875382104733232765349425103	41	134.2	2021-03-25 15:49:34
9214727475637341611675800484507866192825989182321041361821294561	64	212.5	2021-06-09 13:15:06

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	3436 / 16550

Estimated T-Level: 46.0 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	D626B0FF51A51607	2	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D626B0FF51A51607	2	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	D626B0FF51A51607	2	2829	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	20F1450B13FC35AA	2	5058	5	3
Factored	No proof (small exponent)	2021-03-26	mnd9	20F1450B13FC35AA	3	1348	5	3
Verified	No proof (small exponent)	2021-06-09	Jonathan Webb	20F1450B13FC35AA	4	2549	5	3

History

Date	User	Type	Result
2025-03-18	masser	NF-PP1	Start=95/59, B1=1000000000, B2=999000000000
2025-03-10	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-01	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2023-08-01	-anonymous-	NF-PM1	B1=39000000000, B2=163113042636343800
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-06-09	Jonathan Webb	C-PRP	M6257/2554089851655343/193015864907273692130344790106994437079/24881990100834875382104733232765349425103/9214727475637341611675800484507866192825989182321041361821294561 : 20F1450B13FC35AA
2021-06-09	Ryan Propper	F-ECM	Factor: 9214727475637341611675800484507866192825989182321041361821294561
2021-03-26	mnd9	C-PRP	M6257/2554089851655343/193015864907273692130344790106994437079/24881990100834875382104733232765349425103 : 20F1450B13FC35AA
2021-03-25	Ryan Propper	F-ECM	Factor: 24881990100834875382104733232765349425103
2020-04-17	Oliver Kruse	C-PRP	M6257/2554089851655343/193015864907273692130344790106994437079 : 20F1450B13FC35AA
2017-12-07	ATH	C-PRP	M6257/2554089851655343/193015864907273692130344790106994437079 : D626B0FF51A51607
2017-10-02	kkmrkkblmbrbk	C-PRP	M6257/2554089851655343/193015864907273692130344790106994437079 : D626B0FF51A51607
2017-09-21	Oliver Kruse	C-PRP	M6257/known_factors : D626B0FF51A51607