3 907 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
531353	6	19.0	old
68014308654527	14	46.0	old
9566938384835040574922000897	28	93.0	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	16550 / 16550
55	110000000	14499 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	CE48C0E5353CEC77	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	CE48C0E5353CEC77	3	0	1	3
Verified	2017-12-07	ATH	CE48C0E5353CEC77	3	717	1	3
Verified	2020-04-17	Oliver Kruse	6BFEF7AFA31310DE	3	3668	5	3
Verified	2024-02-03	Wentao Huang	6BFEF7AFA31310DE	3	8	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3907/531353/68014308654527/9566938384835040574922000897 : 6BFEF7AFA31310DE PRP: Verified PRP without proof (small exponent)
2023-05-15	-Anonymous-	NF-PM1	B1=67000000000, B2=674804699646066990
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3907/531353/68014308654527/9566938384835040574922000897 : 6BFEF7AFA31310DE PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3907/531353/68014308654527/9566938384835040574922000897 : CE48C0E5353CEC77 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3907/531353/68014308654527/9566938384835040574922000897 : CE48C0E5353CEC77 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3907/known_factors : CE48C0E5353CEC77 PRP without proof (not generated)