5 413 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
5326393	7	22.3	old
4764555857473	13	42.1	old

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	10583 / 16550

Estimated T-Level: 48.2 ⓘ

TF below 2^155 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	66375ECB53A432C1	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	66375ECB53A432C1	2	1201	1	3
Verified	2020-04-17	Oliver Kruse	2F7F18352EB11342	2	1707	5	3
Verified	2024-02-03	Wentao Huang	2F7F18352EB11342	2	2415	5	3

History

Date	User	Type	Result
2024-04-12	mikr	NF-PM1	B1=500000000000, B2=1177314837267769200
2024-02-03	Wentao Huang	C-PRP	M5413/5326393/4764555857473 : 2F7F18352EB11342 PRP: Verified PRP without proof (small exponent)
2023-07-08	-Anonymous-	NF-PM1	B1=46000000000, B2=193133848036379250
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-04-17	Oliver Kruse	C-PRP	M5413/5326393/4764555857473 : 2F7F18352EB11342 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5413/5326393/4764555857473 : 66375ECB53A432C1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5413/5326393/4764555857473 : 66375ECB53A432C1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5413/5326393/4764555857473 : 66375ECB53A432C1 PRP without proof (not generated)