281 117 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1686703	7	20.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	188 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-24	Oliver Kruse	8973037E402CC92C	1	0	1	3
Verified	2017-10-12	Oliver Kruse	8973037E402CC92C	1	84396	1	3
Verified	2017-11-06	kkmrkkblmbrbk	8973037E402CC92C	1	227465	1	3
Verified	2020-04-17	Oliver Kruse	A5FB368F5A4A29A4	1	179100	5	3
Verified	2024-08-09	kkmrkkblmbrbk	A5FB368F5A4A29A4	1	139347	5	3

History

Date	User	Type	Result
2024-11-08	yuriy_5-1	NF-PM1	B1=25862764, B2=6300646522170
2024-08-09	Dexameth	CERT	PRP Certification Proof certified good
2024-08-09	kkmrkkblmbrbk	C-PRP	M281117/1686703 : A5FB368F5A4A29A4 PRP proof power = 5 PRP: Verified Proof certified good
2023-12-09	USAFSS	NF-PM1	B1=1875000, B2=10591113390
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2022-02-06	Joss	NF-PM1	B1=1000000, B2=18618149550
2020-04-17	Oliver Kruse	C-PRP	M281117/1686703 : A5FB368F5A4A29A4 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M281117/1686703 : 8973037E402CC92C PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M281117/1686703 : 8973037E402CC92C PRP: Verified PRP without proof (small exponent)
2017-09-24	Oliver Kruse	C-PRP	M281117/1686703 : 8973037E402CC92C PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M281117/1686703 : 8973037E402CC92C PRP without proof (not generated)