3 319 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
33191	5	15.0	old
2101414218773328311	19	60.9	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	16550 / 16550
55	110000000	15675 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	D0B672CA0CB872ED	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D0B672CA0CB872ED	2	1730	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	136BC0B048432B34	2	1481	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	136BC0B048432B34	2	3106	5	3

History

Date	User	Type	Result
2025-04-26	masser	NF-PP1	Start=112/13, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3319/33191/2101414218773328311 : 136BC0B048432B34
2022-03-21	mikr	NF-PM1	B1=80000000000, B2=268799861365815780
2022-01-01	LordJulius	NF-PM1	B1=10000000000, B2=1081780886416230
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2020-04-17	Oliver Kruse	C-PRP	M3319/33191/2101414218773328311 : 136BC0B048432B34
2017-10-12	kkmrkkblmbrbk	C-PRP	M3319/33191/2101414218773328311 : D0B672CA0CB872ED
2017-09-21	Oliver Kruse	C-PRP	M3319/33191/2101414218773328311 : D0B672CA0CB872ED
2017-09-21	Oliver Kruse	C-PRP	M3319/33191/2101414218773328311 : D0B672CA0CB872ED