1 217 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1045741327	10	30.0	old
6116773272167843384976777858063213917010557325918356879	55	182.0	2011-10-25 23:11:29
22053390021902056444354293154701006674049109757797668799	56	183.8	2014-05-21 01:54:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	194238 / 194238
70	2400000000	144770 / 350860

Estimated T-Level: 67.1 ⓘ

TF below 2^218 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-27	Oliver Kruse	F54FFA290FC61C27	3	0	1	3
Verified	No proof (small exponent)	2017-10-09	Chang Chia-Tche	F54FFA290FC61C27	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F54FFA290FC61C27	3	509	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6A5D96C6B126C44D	3	97	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	6A5D96C6B126C44D	3	591	5	3

History

Date	User	Type	Result
2025-08-26	ViliamF	NF-PP1	Start=6/5, B1=50000000000, B2=5000000000000
2025-08-24	ViliamF	NF-PP1	Start=2/7, B1=50000000000, B2=5000000000000
2024-04-29	Joe S.	NF-PM1	B1=1300000000000, B2=1.3019537381888E+19
2021-09-28	Oliver Kruse	NF-PP1	Start=3/1, B1=10000000000, B2=9924641473652116
2021-07-18	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2021-03-27	nordi	NF-PM1	B1=1000000000000, B2=2232843418649129478
2020-12-22	Ruslan Borisov	NF	no factor TF: 56-57
2020-12-22	Ruslan Borisov	NF	no factor TF: 55-56
2020-12-22	Ruslan Borisov	NF	no factor TF: 54-55
2020-12-22	Ruslan Borisov	NF	no factor TF: 53-54
2020-12-22	Ruslan Borisov	NF	no factor TF: 52-53
2020-12-22	Ruslan Borisov	NF	no factor TF: 51-52
2020-12-22	Ruslan Borisov	NF	no factor TF: 30-51
2020-08-12	_p95holder_	C-PRP	M1217/1045741327/6116773272167843384976777858063213917010557325918356879/22053390021902056444354293154701006674049109757797668799 : 6A5D96C6B126C44D
2020-04-17	Oliver Kruse	C-PRP	M1217/1045741327/6116773272167843384976777858063213917010557325918356879/22053390021902056444354293154701006674049109757797668799 : 6A5D96C6B126C44D
2017-10-12	kkmrkkblmbrbk	C-PRP	M1217/1045741327/6116773272167843384976777858063213917010557325918356879/22053390021902056444354293154701006674049109757797668799 : F54FFA290FC61C27
2017-10-09	Chang Chia-Tche	C-PRP	M1217/known_factors : F54FFA290FC61C27
2017-09-27	Oliver Kruse	C-PRP	M1217/1045741327/6116773272167843384976777858063213917010557325918356879/22053390021902056444354293154701006674049109757797668799 : F54FFA290FC61C27
2017-09-25	csaba	C-PRP	M1217/known_factors : F54FFA290FC61C27
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2014-05-21	-anonymous-	F-ECM	Factor: 22053390021902056444354293154701006674049109757797668799
2011-10-25	Michael Kenn	F-ECM	Factor: 6116773272167843384976777858063213917010557325918356879

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