229 217 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
1833737	7	20.8	old
2539606982779607021737	22	71.1	2014-07-28 15:37:07
71191928931686961356071	23	75.9	2015-01-16 11:43:33
86586038077645212678486401	26	86.2	2019-12-07 19:56:01
20846197085454872951633905923719	32	104.0	2019-12-10 10:35:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	236 / 1566

Estimated T-Level: 30.8 ⓘ

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	5D818CA758F45B97	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	5D818CA758F45B97	3	157780	1	3
Verified (Factored)	2019-12-08	Niels_Mache_Nextcloud	D046E7F0A370AA07	4	47319	5	3
Verified (Factored)	2019-12-09	marssystems	D046E7F0A370AA07	4	95104	5	3
Verified	2019-12-10	mrh	D046E7F0A370AA07	5	141520	5	3

History

Date	User	Type	Result
2022-09-21	LordJulius	NF	no factor from 2^61 to 2^62
2022-09-21	LordJulius	NF	no factor from 2^60 to 2^61
2022-09-21	LordJulius	NF	no factor from 2^59 to 2^60
2022-09-21	LordJulius	NF	no factor from 2^58 to 2^59
2022-03-21	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-24	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2019-12-10	mrh	C-PRP	M229217/1833737/2539606982779607021737/71191928931686961356071/86586038077645212678486401/20846197085454872951633905923719 : D046E7F0A370AA07 PRP: Verified PRP without proof (small exponent)
2019-12-10	Niels_Mache_Nextcloud	F-ECM	Factor: 20846197085454872951633905923719 / (ECM curve 2, B1=250000, B2=25000000, Sigma=2242894536984287)
2019-12-09	marssystems	C-PRP	M229217/1833737/2539606982779607021737/71191928931686961356071/86586038077645212678486401 : D046E7F0A370AA07 PRP: Verified PRP without proof (small exponent)
2019-12-08	Niels_Mache_Nextcloud	C-PRP	M229217/1833737/2539606982779607021737/71191928931686961356071/86586038077645212678486401 : D046E7F0A370AA07 PRP: Verified PRP without proof (small exponent)
2019-12-07	Niels_Mache_Nextcloud	F-ECM	Factor: 86586038077645212678486401 / (ECM curve 2, B1=250000, B2=25000000, Sigma=3105408218604877)
2017-10-12	kkmrkkblmbrbk	C-PRP	M229217/1833737/2539606982779607021737/71191928931686961356071 : 5D818CA758F45B97 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M229217/known_factors : 5D818CA758F45B97 PRP without proof (not generated)
2015-01-16	TJAOI	F-ECM	Factor: 71191928931686961356071 / (ECM curve 44, B1=50000, B2=5000000)
2014-07-28	TJAOI	F-ECM	Factor: 2539606982779607021737