8 819 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
89250990979384471	17	56.3	old
37237976442285057273742186970142975824140169119	47	154.7	2021-05-02 12:46:33

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	6909 / 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 (Factored)	2017-09-21	Oliver Kruse	EC0DF2AF6D0CC12C	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	EC0DF2AF6D0CC12C	1	4473	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	1A779B6018577C28	1	5761	5	3
Verified	2021-05-02	mikr	1A779B6018577C28	2	1070	5	3
Verified	2021-05-03	mrh	1A779B6018577C28	2	1830	5	3

History

Date	User	Type	Result
2023-08-05	JacobZ	NF-PM1	B1=66000000000, B2=254680416808818000
2021-05-03	mrh	C-PRP	M8819/89250990979384471/37237976442285057273742186970142975824140169119 : 1A779B6018577C28 PRP: Verified PRP without proof (small exponent)
2021-05-02	mikr	C-PRP	M8819/89250990979384471/37237976442285057273742186970142975824140169119 : 1A779B6018577C28 PRP: Verified PRP without proof (small exponent)
2021-05-02	Bruno Victal	F-ECM	Factor: 37237976442285057273742186970142975824140169119 / (ECM curve 38, B1=11000000, B2=30114149530, sigma=1114499851454661)
2020-04-17	Oliver Kruse	C-PRP	M8819/89250990979384471 : 1A779B6018577C28 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8819/89250990979384471 : EC0DF2AF6D0CC12C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8819/89250990979384471 : EC0DF2AF6D0CC12C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8819/89250990979384471 : EC0DF2AF6D0CC12C PRP without proof (not generated)