12 421 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 7 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
74527	5	16.2	old
53559353	8	25.7	2008-08-26 19:58:36
90418695733153	14	46.4	2008-08-26 19:58:36
788579910954997481	18	59.5	2008-08-26 19:58:36
60490632099801171090526441	26	85.6	2008-10-16 23:57:25
7153727737108154097377407167551	31	102.5	2008-10-25 20:59:11
10536610940307742184552741860681763378053399	44	142.9	2010-03-05 21:47:03

P-1 factors

Date	Factors	B1	B2
2022-05-13	No new factors discovered	1000000000000	1000381676319425408
2021-03-01	No new factors discovered	600000	60000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	8526 / 9201

Estimated T-Level: 44.6 ⓘ

TF below 2^143 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)	2017-09-21	Oliver Kruse	FE3B260707E697B2	7	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	FE3B260707E697B2	7	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	FE3B260707E697B2	7	10827	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	CADC35FCE6BD2704	7	2942	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	CADC35FCE6BD2704	7	7033	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=196/23, B1=430000000, B2=429570000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12421/10536610940307742184552741860681763378053399/53559353/60490632099801171090526441/7153727737108154097377407167551/74527/788579910954997481/90418695733153 : CADC35FCE6BD2704
2022-05-13	-anonymous-	F-PM1	Factor: 10536610940307742184552741860681763378053399 / B1=1000000000000, B2=1000381676319425400
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-03-01	gLauss	F-PM1	Factor: 646830731619399318987822579528145963056518303 / B1=600000, B2=60000000
2021-03-01	gLauss	NF-PM1	B1=60000, B2=6000000
2020-04-17	Oliver Kruse	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : CADC35FCE6BD2704
2017-12-07	ATH	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2
2017-10-02	kkmrkkblmbrbk	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2
2017-09-21	Oliver Kruse	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2
2017-09-21	Oliver Kruse	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-04-14	Never Odd Or Even	F-PM1	Factor: 360916884476328813539580743
2011-04-14	Never Odd Or Even	F-PM1	Factor: 360916884476328813539580743
2010-07-20	Never Odd Or Even	F	Factor: 6738634136904693631
2010-07-20	Never Odd Or Even	F-PM1	Factor: 284611804622498488436711384810691433361108383
2010-07-20	Never Odd Or Even	F-PM1	Factor: 360916884476328813539580743
2010-03-17	Never Odd Or Even	F-PM1	Factor: 90418695733153
2010-03-05	Never Odd Or Even	F-ECM	Factor: 10536610940307742184552741860681763378053399
2008-10-25	Will Edgington	F-ECM	Factor: 7153727737108154097377407167551
2008-10-16	-anonymous-	F-ECM	Factor: 60490632099801171090526441
2008-08-26	-anonymous-	F-ECM	Factor: 788579910954997481
2008-08-26	-anonymous-	F-PM1	Factor: 90418695733153
2008-08-26	-anonymous-	F	Factor: 53559353

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