173 021 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1038127	7	20.0	old
309131430071	12	38.2	2008-07-27 10:49:33
5882362671598214650897487	25	82.3	2018-09-26 22:39:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	199 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	4ABC496EE3AB7851	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	4ABC496EE3AB7851	2	15315	1	3
Verified	2018-09-28	Oliver Kruse	6A4860C461BC9093	3	20398	5	3
Verified	2018-09-28	rucio	6A4860C461BC9093	3	136688	5	3

History

Date	User	Type	Result
2025-09-20	masser	NF-PM1	B1=230000000, B2=23377088244510
2018-09-28	rucio	C-PRP	M173021/1038127/309131430071/5882362671598214650897487 : 6A4860C461BC9093 PRP: Verified PRP without proof (small exponent)
2018-09-28	Oliver Kruse	C-PRP	M173021/1038127/309131430071/5882362671598214650897487 : 6A4860C461BC9093 PRP: Verified PRP without proof (small exponent)
2018-09-26	Niels_Mache_Nextcloud	F-ECM	Factor: 5882362671598214650897487 / (ECM curve 1, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M173021/1038127/309131430071 : 4ABC496EE3AB7851 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M173021/1038127/309131430071 : 4ABC496EE3AB7851 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M173021/1038127/309131430071 : 4ABC496EE3AB7851 PRP without proof (not generated)
2017-05-26	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-27	J Feitsma	F	Factor: 309131430071