10 729 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
290280712591	12	38.1	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	3291 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	D894FCC1FB6602FA	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D894FCC1FB6602FA	1	898	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4DC6836200AC92FB	1	710	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	4DC6836200AC92FB	1	1106	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=137/23, B1=640000000, B2=639360000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-27	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10729/290280712591 : 4DC6836200AC92FB
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M10729/290280712591 : 4DC6836200AC92FB
2017-10-12	kkmrkkblmbrbk	C-PRP	M10729/290280712591 : D894FCC1FB6602FA
2017-09-21	Oliver Kruse	C-PRP	M10729/290280712591 : D894FCC1FB6602FA
2017-09-21	Oliver Kruse	C-PRP	M10729/290280712591 : D894FCC1FB6602FA
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12