8 377 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
50263	5	15.6	old
134033	6	17.0	old
787439	6	19.6	old
2596871	7	21.3	old
430798028448313	15	48.6	old
253627056500386361327839418106645372884929	42	137.5	2021-03-24 10:17:55

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	7215 / 16550

Estimated T-Level: 47.2 ⓘ

TF below 2^152 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	A93C1F7945B46E4B	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	A93C1F7945B46E4B	5	0	1	3
Verified (Factored)	2017-12-07	ATH	A93C1F7945B46E4B	5	8365	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F39A8EB32D370564	5	636	5	3
Verified	2021-03-24	Bruno Victal	F39A8EB32D370564	6	5995	5	3

History

Date	User	Type	Result
2023-08-26	JacobZ	NF-PM1	B1=70000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-03-24	Bruno Victal	C-PRP	M8377/50263/134033/787439/2596871/430798028448313/253627056500386361327839418106645372884929 : F39A8EB32D370564 PRP: Verified PRP without proof (small exponent)
2021-03-24	Bruno Victal	F-ECM	Factor: 253627056500386361327839418106645372884929 / (ECM curve 617, B1=11000000, B2=30114149530, sigma=643742195221957)
2020-04-17	Oliver Kruse	C-PRP	M8377/50263/134033/787439/2596871/430798028448313 : F39A8EB32D370564 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8377/50263/134033/787439/2596871/430798028448313 : A93C1F7945B46E4B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8377/50263/134033/787439/2596871/430798028448313 : A93C1F7945B46E4B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8377/known_factors : A93C1F7945B46E4B PRP without proof (not generated)