757 651 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
10346482057	11	33.3	old
46216711001	11	35.4	2008-07-16 09:25:55
1104789294048343	16	50.0	2014-05-16 11:37:33
1165191456231679	16	50.0	2014-05-19 13:38:52
5695837480155311	16	52.3	2014-08-05 10:28:24
5522045550474744799	19	62.3	2015-11-13 11:50:45
18756275834259109849	20	64.0	2015-11-13 11:50:45
48880674512476805566151	23	75.4	2017-01-01 17:16:10
17222489811083155766757703	26	83.8	2015-11-13 11:50:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	803 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	11D09411AC735A01	9	0	1	3
Verified	2017-10-13	Oliver Kruse	11D09411AC735A01	9	6527	1	3
Verified	2017-12-17	ATH	11D09411AC735A01	9	681630	1	3
Unverified (Reliable)	2020-04-20	Oliver Kruse	6D09C6F05B297C__	9	593276	5	3

History

Date	User	Type	Result
2022-11-17	LordJulius	NF	no factor from 2^61 to 2^62
2022-11-17	LordJulius	NF	no factor from 2^60 to 2^61
2021-12-22	Seth_Tr	NF-PM1	B1=1000000000, B2=1001380680300
2021-10-13	nordi	NF-PP1	Start=6/5, B1=100000000, B2=10000000000
2021-10-01	nordi	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2021-06-18	Seth_Tr	NF-PM1	B1=1000000000, B2=211000000000
2021-03-05	Seth_Tr	NF-PM1	B1=260000000, B2=44460000000
2020-04-20	Oliver Kruse	C-PRP	M757651/10346482057/46216711001/1104789294048343/1165191456231679/5695837480155311/5522045550474744799/18756275834259109849/48880674512476805566151/17222489811083155766757703 : 6D09C6F05B297C__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2018-02-26	Kriesel	NF	no factor from 2^71 to 2^72
2017-12-17	ATH	C-PRP	M757651/10346482057/46216711001/1104789294048343/1165191456231679/5695837480155311/5522045550474744799/18756275834259109849/48880674512476805566151/17222489811083155766757703 : 11D09411AC735A01 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-11-25	ATH	NF-PM1	B1=200000000, B2=10000000000, E=12
2017-11-02	ATH	NF	no factor from 2^70 to 2^71
2017-11-02	ATH	NF	no factor from 2^69 to 2^70
2017-11-02	ATH	NF	no factor from 2^68 to 2^69
2017-11-02	ATH	NF	no factor from 2^67 to 2^68
2017-11-02	ATH	NF	no factor from 2^66 to 2^67
2017-11-02	ATH	NF	no factor from 2^65 to 2^66
2017-11-02	ATH	NF	no factor from 2^63 to 2^64
2017-11-02	ATH	NF	no factor from 2^53 to 2^62
2017-10-13	Oliver Kruse	C-PRP	M757651/10346482057/46216711001/1104789294048343/1165191456231679/5695837480155311/5522045550474744799/18756275834259109849/17222489811083155766757703/48880674512476805566151 : 11D09411AC735A01 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-05	Oliver Kruse	C-PRP	M757651/10346482057/46216711001/1104789294048343/1165191456231679/5695837480155311/5522045550474744799/18756275834259109849/17222489811083155766757703/48880674512476805566151 : 11D09411AC735A01 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M757651/10346482057/46216711001/1104789294048343/1165191456231679/5695837480155311/5522045550474744799/18756275834259109849/17222489811083155766757703/48880674512476805566151 : 11D09411AC735A01 PRP without proof (not generated)
2017-01-01	Ismo Laitela	F-ECM	Factor: 48880674512476805566151 / (ECM curve 18, B1=150000, B2=30000000)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-11-13	TJAOI	F-ECM	Factor: 17222489811083155766757703 / (ECM curve 61, B1=50000, B2=5000000)
2015-11-13	TJAOI	F-ECM	Factor: 18756275834259109849 / (ECM curve 1, B1=50000, B2=5000000)
2015-11-13	TJAOI	F-ECM	Factor: 5522045550474744799 / (ECM curve 7, B1=50000, B2=5000000)
2014-08-05	TJAOI	F	Factor: 5695837480155311
2014-05-19	TJAOI	F	Factor: 1165191456231679
2014-05-16	TJAOI	F	Factor: 1104789294048343
2008-07-16	J Feitsma	F	Factor: 46216711001

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