234 187 Exponent Status

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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
30444311	8	24.9	old
309126841	9	28.2	2008-07-21 09:14:33
3022417423	10	31.5	2008-07-21 09:14:33
63620038529297	14	45.9	2008-07-21 09:14:33
478318221980377723068511	24	78.7	2014-08-04 11:21:50

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	170 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	F35C01761C8F3292	5	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	F35C01761C8F3292	5	10953	1	3
Verified	2020-04-17	Oliver Kruse	A7A9ACAACBF3FE72	5	89944	5	3
Verified	2024-02-03	Wentao Huang	A7A9ACAACBF3FE72	5	83884	5	3

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M234187/30444311/3022417423/309126841/63620038529297/478318221980377723068511 : A7A9ACAACBF3FE72 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-29	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-07-03	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M234187/30444311/309126841/3022417423/63620038529297/478318221980377723068511 : A7A9ACAACBF3FE72 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M234187/30444311/3022417423/309126841/63620038529297/478318221980377723068511 : F35C01761C8F3292 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M234187/known_factors : F35C01761C8F3292 PRP without proof (not generated)
2014-08-04	TJAOI	F-ECM	Factor: 478318221980377723068511
2008-07-21	J Feitsma	F	Factor: 63620038529297
2008-07-21	J Feitsma	F	Factor: 309126841
2008-07-21	J Feitsma	F	Factor: 3022417423