101 111 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2324137447	10	31.1	old
2194344528263071	16	51.0	2008-08-26 20:11:58
485705968174639618849	21	68.7	2008-08-26 20:11:59
99009769249099030451271427722911	32	106.3	2011-02-04 18:18:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	533 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	2017-09-21	Oliver Kruse	C37BEBD182413D4E	4	0	1	3
Verified	2017-10-09	Chang Chia-Tche	C37BEBD182413D4E	4	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	C37BEBD182413D4E	4	18002	1	3
Verified	2020-04-17	Oliver Kruse	564964E41ACF2200	4	99324	5	3
Verified	2022-04-15	LordJulius	564964E41ACF2200	4	34596	5	3

History

Date	User	Type	Result
2022-12-08	LordJulius	NF	no factor from 2^64 to 2^65
2022-12-08	LordJulius	NF	no factor from 2^63 to 2^64
2022-12-08	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M101111/2324137447/2194344528263071/485705968174639618849/99009769249099030451271427722911 : 564964E41ACF2200 PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-19	Seth_Tr	NF-PM1	B1=1000000000, B2=6567654483390
2020-04-17	Oliver Kruse	C-PRP	M101111/2324137447/2194344528263071/485705968174639618849/99009769249099030451271427722911 : 564964E41ACF2200 PRP: Verified PRP without proof (small exponent)
2018-11-02	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-02	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-02	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M101111/2324137447/2194344528263071/485705968174639618849/99009769249099030451271427722911 : C37BEBD182413D4E PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M101111/known_factors : C37BEBD182413D4E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101111/2324137447/2194344528263071/485705968174639618849/99009769249099030451271427722911 : C37BEBD182413D4E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M101111/2324137447/2194344528263071/485705968174639618849/99009769249099030451271427722911 : C37BEBD182413D4E PRP without proof (not generated)
2016-11-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-02-04	Never Odd Or Even	F-ECM	Factor: 99009769249099030451271427722911
2008-08-26	-Anonymous-	F-ECM	Factor: 485705968174639618849
2008-08-26	-Anonymous-	F-PM1	Factor: 2194344528263071

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