5 519 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
662281	6	19.3	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	11351 / 16550

Estimated T-Level: 48.4 ⓘ

TF below 2^156 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	13077A7BEC6BEA4B	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	13077A7BEC6BEA4B	1	880	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4CC9BEFEC6A07F1E	1	5206	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	4CC9BEFEC6A07F1E	1	2712	5	3

History

Date	User	Type	Result
2025-05-10	masser	NF-PP1	Start=170/61, B1=2100000000, B2=2097900000000
2024-07-11	mikr	NF-PM1	B1=500000000000, B2=1177616094905340090
2024-02-03	Wentao Huang	C-PRP	M5519/662281 : 4CC9BEFEC6A07F1E
2023-07-12	-anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=57744146009550
2020-04-17	Oliver Kruse	C-PRP	M5519/662281 : 4CC9BEFEC6A07F1E
2017-10-12	kkmrkkblmbrbk	C-PRP	M5519/662281 : 13077A7BEC6BEA4B
2017-09-21	Oliver Kruse	C-PRP	M5519/662281 : 13077A7BEC6BEA4B
2017-09-21	Oliver Kruse	C-PRP	M5519/662281 : 13077A7BEC6BEA4B