5 387 Exponent Status

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

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
35028913631	11	35.0	old
20890514064241	14	44.2	old
23318981546952847321	20	64.3	old
121180963479604713799	21	66.7	old

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	11753 / 16550

Estimated T-Level: 48.6 ⓘ

TF below 2^156 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	8C3F63501DD960AC	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8C3F63501DD960AC	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	8C3F63501DD960AC	4	2026	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9040B2A5D760F6F8	4	5132	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	9040B2A5D760F6F8	4	4453	5	3

History

Date	User	Type	Result
2025-05-02	masser	NF-PP1	Start=87/59, B1=2100000000, B2=2097900000000
2023-07-07	-anonymous-	NF-PM1	B1=58000000000, B2=237664709340158100
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-04-17	Oliver Kruse	C-PRP	M5387/35028913631/20890514064241/23318981546952847321/121180963479604713799 : 9040B2A5D760F6F8
2017-12-07	ATH	C-PRP	M5387/35028913631/20890514064241/23318981546952847321/121180963479604713799 : 8C3F63501DD960AC
2017-10-02	kkmrkkblmbrbk	C-PRP	M5387/35028913631/20890514064241/23318981546952847321/121180963479604713799 : 8C3F63501DD960AC
2017-09-21	Oliver Kruse	C-PRP	M5387/known_factors : 8C3F63501DD960AC
1999-04-23	-anonymous-	F-PM1	Factor: 20890514064241