7 229 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
6846585126656039	16	52.6	old
301272474740558770479661788146663	33	107.9	2011-03-06 21:36:14
6904054187426942448623567161314017	34	112.4	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	2450 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	268694BAD52EE468	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	268694BAD52EE468	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	268694BAD52EE468	3	3016	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4F963616C1903788	3	4019	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	4F963616C1903788	3	1672	5	3

History

Date	User	Type	Result
2025-04-02	masser	NF-PP1	Start=157/29, B1=830000000, B2=829170000000
2025-03-22	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-15	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7229/6846585126656039/6904054187426942448623567161314017/301272474740558770479661788146663 : 4F963616C1903788
2023-08-26	-anonymous-	NF-PM1	B1=33000000000, B2=136594664543487150
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7229/6846585126656039/301272474740558770479661788146663/6904054187426942448623567161314017 : 4F963616C1903788
2017-12-07	ATH	C-PRP	M7229/6846585126656039/301272474740558770479661788146663/6904054187426942448623567161314017 : 268694BAD52EE468
2017-10-02	kkmrkkblmbrbk	C-PRP	M7229/6846585126656039/301272474740558770479661788146663/6904054187426942448623567161314017 : 268694BAD52EE468
2017-09-21	Oliver Kruse	C-PRP	M7229/known_factors : 268694BAD52EE468
2011-03-06	James Hintz	F-ECM	Factor: 301272474740558770479661788146663