2 729 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
209927680956001	15	47.6	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	10068 / 40830

Estimated T-Level: 51.2 ⓘ

TF below 2^165 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	D46B0FA5333E4F4B	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D46B0FA5333E4F4B	1	280	1	3
Verified	2020-04-17	Oliver Kruse	44FBAC6480FA7FC1	1	2512	5	3
Verified	2024-02-03	Wentao Huang	44FBAC6480FA7FC1	1	627	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2729/209927680956001 : 44FBAC6480FA7FC1 PRP: Verified PRP without proof (small exponent)
2022-02-15	mikr	NF-PM1	B1=60000000000, B2=314806422904433460
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2729/209927680956001 : 44FBAC6480FA7FC1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2729/209927680956001 : D46B0FA5333E4F4B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2729/209927680956001 : D46B0FA5333E4F4B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2729/209927680956001 : D46B0FA5333E4F4B PRP without proof (not generated)