5 477 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
206252836463853481	18	57.5	old
3199345098166652113897	22	71.4	old
114783910685669047532466706841	30	96.5	old
6636527522541576717324553349291297869833139567	46	152.2	2020-10-13 12:10:34
144619331229546241502397802517920403451351347687	48	156.7	2020-10-07 01:35:36
944460684489142333021283614936033954052616698359	48	159.4	2021-04-05 01:43:41

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	13530 / 16550

Estimated T-Level: 49.1 ⓘ

TF below 2^158 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	DE09DB183FC696C9	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DE09DB183FC696C9	3	0	1	3
Verified (Factored)	2017-12-07	ATH	DE09DB183FC696C9	3	3052	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	886704DC892AEE44	3	879	5	3
Verified (Factored)	2020-10-07	M Miller	886704DC892AEE44	4	2812	5	3
Verified (Factored)	2020-10-07	mnd9	886704DC892AEE44	4	3557	5	3
Verified (Factored)	2020-10-13	ATH	886704DC892AEE44	5	1462	5	3
Verified	2021-04-05	mikr	886704DC892AEE44	6	68	5	3
Verified	2021-04-06	Joe S.	886704DC892AEE44	6	142	5	3

History

Date	User	Type	Result
2023-07-11	-Anonymous-	NF-PM1	B1=46000000000, B2=193133522175293700
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-04-06	Joe S.	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841/144619331229546241502397802517920403451351347687/6636527522541576717324553349291297869833139567/944460684489142333021283614936033954052616698359 : 886704DC892AEE44 PRP: Verified PRP without proof (small exponent)
2021-04-05	mikr	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841/6636527522541576717324553349291297869833139567/144619331229546241502397802517920403451351347687/944460684489142333021283614936033954052616698359 : 886704DC892AEE44 PRP: Verified PRP without proof (small exponent)
2021-04-05	Ryan Propper	F-ECM	Factor: 944460684489142333021283614936033954052616698359 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=102255318616055950)
2020-10-13	ATH	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841/144619331229546241502397802517920403451351347687/6636527522541576717324553349291297869833139567 : 886704DC892AEE44 PRP: Verified PRP without proof (small exponent)
2020-10-13	Ryan Propper	F-ECM	Factor: 6636527522541576717324553349291297869833139567 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=333466803547696720)
2020-10-07	mnd9	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841/144619331229546241502397802517920403451351347687 : 886704DC892AEE44 PRP: Verified PRP without proof (small exponent)
2020-10-07	M Miller	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841/144619331229546241502397802517920403451351347687 : 886704DC892AEE44 PRP: Verified PRP without proof (small exponent)
2020-10-07	Ryan Propper	F-ECM	Factor: 144619331229546241502397802517920403451351347687 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=9113910952683292987)
2020-04-17	Oliver Kruse	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841 : 886704DC892AEE44 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841 : DE09DB183FC696C9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5477/206252836463853481/3199345098166652113897/114783910685669047532466706841 : DE09DB183FC696C9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5477/known_factors : DE09DB183FC696C9 PRP without proof (not generated)