12 763 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

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

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

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1355 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	6D235C885C4CB955	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	6D235C885C4CB955	3	0	1	3
Verified (Factored)	2017-12-07	ATH	6D235C885C4CB955	3	7365	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	5A782044B839AC3E	3	11711	5	3
Verified	2023-05-22	Denial140	5A782044B839AC3E	4	4069	5	3
Verified	2023-05-22	-Anonymous-	F4D1C81954909BF6	4	6782	5	9
Verified	2023-05-22	-Anonymous-	F4D1C81954909BF6	4	289	5	9

P-1 factors

Date	Factor	B1	B2
2017-02-03	513868683342739527274824356395086583	10000000000	205711343735730
2023-05-24	795614562774138141960656850727113713919164581127934959792558736919171022548502967947741164681	100000000000	120417199046794656

History

Date	User	Type	Result
2023-05-24	-Anonymous-	F-PM1	Factors: 27998212974738540211784162447,513868683342739527274824356395086583,55299379684698953136526328081 / (P-1, B1=100000000000, B2=120417199046794650)
2023-05-22	-Anonymous-	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583/2420620913587273904602188111996557954537 : F4D1C81954909BF6 PRP: Verified PRP without proof (small exponent)
2023-05-22	-Anonymous-	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583/2420620913587273904602188111996557954537 : F4D1C81954909BF6 PRP: Verified PRP without proof (small exponent)
2023-05-22	Denial140	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583/2420620913587273904602188111996557954537 : 5A782044B839AC3E PRP: Verified PRP without proof (small exponent)
2023-05-22	Denial140	F-ECM	Factor: 2420620913587273904602188111996557954537 / (ECM curve 145, B1=3000000, B2=22972799850, Sigma=214745304947513)
2020-04-17	Oliver Kruse	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 5A782044B839AC3E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 6D235C885C4CB955 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 6D235C885C4CB955 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12763/27998212974738540211784162447/55299379684698953136526328081/513868683342739527274824356395086583 : 6D235C885C4CB955 PRP without proof (not generated)
2017-02-03	kkmrkkblmbrbk	F-PM1	Factor: 513868683342739527274824356395086583 / (P-1, B1=10000000000, B2=205711343735730)
2008-10-25	Will Edgington	F-ECM	Factor: 55299379684698953136526328081