29 009 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
232073	6	17.8	old
254421002933108969619202462633	30	97.7	2017-11-27 18:45:24
5721497589368876822546592641339667113	37	122.1	2025-11-18 16:20:59

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1568 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	0836DFDBD7D032E4	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	0836DFDBD7D032E4	1	23274	1	3
Factored	No proof (small exponent)	2017-11-29	Oliver Kruse	C00DC32CDA485670	2	26832	5	3
Factored	No proof (small exponent)	2017-11-29	storm5510	C00DC32CDA485670	2	1378	5	3
Verified	No proof (small exponent)	2025-11-18	masser	C00DC32CDA485670	3	25010	5	3

History

Date	User	Type	Result
2025-11-18	masser	C-PRP	M29009/232073/254421002933108969619202462633/5721497589368876822546592641339667113 : C00DC32CDA485670
2025-11-18	masser	F-ECM	Factor: 5721497589368876822546592641339667113 / ECM curve 2, B1=12576250, B2=659966337030, Edwards Sigma=6889989646159471
2023-02-08	nordi	NF-PM1	B1=3000000000, B2=925584566816910
2022-09-21	nordi	NF-PM1	B1=3000000000
2021-05-08	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2017-11-29	storm5510	C-PRP	M29009/232073/254421002933108969619202462633 : C00DC32CDA485670
2017-11-29	Oliver Kruse	C-PRP	M29009/232073/254421002933108969619202462633 : C00DC32CDA485670
2017-11-27	nordi	F-ECM	Factor: 254421002933108969619202462633
2017-10-12	kkmrkkblmbrbk	C-PRP	M29009/232073 : 0836DFDBD7D032E4
2017-09-21	Oliver Kruse	C-PRP	M29009/232073 : 0836DFDBD7D032E4
2017-09-21	Oliver Kruse	C-PRP	M29009/232073 : 0836DFDBD7D032E4
2017-01-03	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12