5 003 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
10007	5	13.3	old
1050631	7	20.0	old
6087330966532976879	19	62.4	old
51270087288962073254717551943	29	95.4	old
68882595903330238838552613955694480987987527	44	145.6	2013-04-12 10:46:55

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	19669 / 40830

Estimated T-Level: 52.4 ⓘ

TF below 2^169 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D7F60CEFFBCE92D5	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D7F60CEFFBCE92D5	5	0	1	3
Verified	2017-12-07	ATH	D7F60CEFFBCE92D5	5	1438	1	3
Verified	2020-04-17	Oliver Kruse	F8E652816EBF68E7	5	1826	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	F8E652816EBF68E7	1	3649	5	3
Verified	2024-02-03	Wentao Huang	F8E652816EBF68E7	5	3617	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-17	10007	5000000999	5000000999
2021-12-18	3281293532195321113569357982360497098983754047729275907049	3000000000	3000000000
2021-12-18	3281293532195321113569357982360497098983754047729275907049	5000000000	5000000000

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5003/10007/1050631/6087330966532976879/51270087288962073254717551943/68882595903330238838552613955694480987987527 : F8E652816EBF68E7 PRP: Verified PRP without proof (small exponent)
2023-06-02	-Anonymous-	NF-PM1	B1=63000000000, B2=632233314515152350
2022-05-12	Jorge Coveiro	C-PRP	M5003/10007 : F8E652816EBF68E7 PRP: Verified PRP without proof (small exponent)
2021-12-18	ViliamF	F-PM1	Factor: 3281293532195321113569357982360497098983754047729275907049 / (P-1, B1=5000000000)
2021-12-18	ViliamF	F-PM1	Factor: 3281293532195321113569357982360497098983754047729275907049 / (P-1, B1=3000000000)
2021-12-17	Lisander Viaene	F-PM1	Factor: 3281293532195321113569357982360497098983754047729275907049 / (P-1, B1=5000000999)
2021-12-15	Lisander Viaene	NF-PM1	B1=5000000000, B2=4419083571242340
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5003/10007/1050631/6087330966532976879/51270087288962073254717551943/68882595903330238838552613955694480987987527 : F8E652816EBF68E7 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5003/10007/1050631/6087330966532976879/51270087288962073254717551943/68882595903330238838552613955694480987987527 : D7F60CEFFBCE92D5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5003/10007/1050631/6087330966532976879/51270087288962073254717551943/68882595903330238838552613955694480987987527 : D7F60CEFFBCE92D5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5003/known_factors : D7F60CEFFBCE92D5 PRP without proof (not generated)
2013-04-12	Never Odd Or Even	F-ECM	Factor: 68882595903330238838552613955694480987987527