12 763 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
27998212974738540211784162447	29	94.5	old
55299379684698953136526328081	29	95.5	2008-10-25 20:59:11
513868683342739527274824356395086583	36	118.6	2017-02-03 18:42:19
2420620913587273904602188111996557954537	40	130.8	2023-05-22 10:08:38

P-1 factors

Date	Factors	B1	B2
2023-05-24	No new factors discovered	100000000000	120417199046794656
2017-02-03	513868683342739527274824356395086583	10000000000	205711343735730

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1550 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	6D235C885C4CB955	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6D235C885C4CB955	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	6D235C885C4CB955	3	7365	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	5A782044B839AC3E	3	11711	5	3
Verified	No proof (small exponent)	2023-05-22	Denial140	5A782044B839AC3E	4	4069	5	3
Verified	No proof (small exponent)	2023-05-22	-anonymous-	F4D1C81954909BF6	4	6782	5	9
Verified	No proof (small exponent)	2023-05-22	-anonymous-	F4D1C81954909BF6	4	289	5	9

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=96/43, B1=430000000, B2=429570000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-24	-anonymous-	F-PM1	Factors: 27998212974738540211784162447,513868683342739527274824356395086583,55299379684698953136526328081 / B1=100000000000, B2=120417199046794650
2023-05-22	-anonymous-	C-PRP	ERROR PARSING RESULT
2023-05-22	-anonymous-	C-PRP	ERROR PARSING RESULT
2023-05-22	Denial140	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583/2420620913587273904602188111996557954537 : 5A782044B839AC3E
2023-05-22	Denial140	F-ECM	Factor: 2420620913587273904602188111996557954537 / ECM curve 145, B1=3000000, B2=22972799850, Montgomery Sigma=214745304947513
2020-04-17	Oliver Kruse	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 5A782044B839AC3E
2017-12-07	ATH	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 6D235C885C4CB955
2017-10-02	kkmrkkblmbrbk	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 6D235C885C4CB955
2017-09-21	Oliver Kruse	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 6D235C885C4CB955
2017-02-03	kkmrkkblmbrbk	F-PM1	Factor: 513868683342739527274824356395086583 / B1=10000000000, B2=205711343735730
2008-10-25	Will Edgington	F-ECM	Factor: 55299379684698953136526328081
2002-07-14	-anonymous-	NF-PM1	B1=65536, B2=6553600, E=12
2002-06-09	-anonymous-	NF-PM1	B1=32768, B2=3276800
2002-04-28	-anonymous-	NF-PM1	B1=16384, B2=1638400
2001-09-30	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-07-17	Alex Kruppa	NF-PM1	B1=1000000, B2=100000000
2001-04-29	-anonymous-	NF-PM1	B1=100000, B2=10000000
2000-09-08	-anonymous-	NF	no factor TF: 1-56
2000-07-17	-anonymous-	NF	no factor TF: 1-55
2000-01-19	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

Username
Password