9 281 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
10021343216809	14	43.2	old
69588618510857	14	46.0	old
215311371506626127	18	57.6	old
70149993780688634814679	23	75.9	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	6787 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	B06B42C4B2A22A63	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B06B42C4B2A22A63	4	0	1	3
Verified	2017-12-07	ATH	B06B42C4B2A22A63	4	7034	1	3
Verified	2020-04-17	Oliver Kruse	9B0E1E978CDA4AF8	4	5024	5	3
Verified	2024-07-01	kkmrkkblmbrbk	9B0E1E978CDA4AF8	4	8340	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9281/10021343216809/215311371506626127/69588618510857/70149993780688634814679 : 9B0E1E978CDA4AF8 PRP: Verified PRP without proof (small exponent)
2023-07-08	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000, B2=30501691119900
2022-01-03	Lisander Viaene	NF-PM1	B1=10000000, B2=2551968529110
2020-04-17	Oliver Kruse	C-PRP	M9281/10021343216809/69588618510857/215311371506626127/70149993780688634814679 : 9B0E1E978CDA4AF8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9281/10021343216809/69588618510857/215311371506626127/70149993780688634814679 : B06B42C4B2A22A63 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9281/10021343216809/69588618510857/215311371506626127/70149993780688634814679 : B06B42C4B2A22A63 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9281/known_factors : B06B42C4B2A22A63 PRP without proof (not generated)