3 163 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
455473	6	18.8	old
6470824914532640346907398417629153527732878857898305930284399	61	202.0	2020-09-15 17:12:17

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	16550 / 16550
55	110000000	15839 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 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	555CCFA70310DA28	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	555CCFA70310DA28	1	2285	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	CC94E543B4E2C024	1	2570	5	3
Verified	2020-09-15	atrench	CC94E543B4E2C024	2	1516	5	3

History

Date	User	Type	Result
2024-06-29	masser	NF-PM1	B1=100000000000, B2=111035785579719000
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-09-15	atrench	C-PRP	M3163/455473/6470824914532640346907398417629153527732878857898305930284399 : CC94E543B4E2C024 PRP: Verified PRP without proof (small exponent)
2020-09-15	Ryan Propper	F-ECM	Factor: 6470824914532640346907398417629153527732878857898305930284399 / (ECM curve 1, B1=850000000, B2=14601464077218, Sigma=16150540497841286761)
2020-04-17	Oliver Kruse	C-PRP	M3163/455473 : CC94E543B4E2C024 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3163/455473 : 555CCFA70310DA28 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3163/455473 : 555CCFA70310DA28 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3163/455473 : 555CCFA70310DA28 PRP without proof (not generated)