5 077 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
127615111167457	15	46.9	old
6070563715235599	16	52.4	old
1802399606525304030597395571800689428071	40	130.4	2016-10-04 12:44:41
1738357064370321731193239240970942975791113	43	140.3	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	16550 / 16550
55	110000000	15264 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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)	2017-09-20	kkmrkkblmbrbk	6A54A1466D3C8A9B	4	0	1	3
Verified	No proof (small exponent)	2017-09-26	George Woltman	6A54A1466D3C8A9B	4	4287	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6A54A1466D3C8A9B	4	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	DD3DB2C713BC8A49	4	333	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	DD3DB2C713BC8A49	4	2846	5	3

History

Date	User	Type	Result
2025-04-19	masser	NF-PP1	Start=100/41, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5077/127615111167457/6070563715235599/1738357064370321731193239240970942975791113/1802399606525304030597395571800689428071 : DD3DB2C713BC8A49
2023-06-11	-anonymous-	NF-PM1	B1=62000000000, B2=622276884390511350
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	ANONYMOUS	NF-PM1	B1=101101101, B2=242002648447560
2020-04-17	Oliver Kruse	C-PRP	M5077/127615111167457/6070563715235599/1802399606525304030597395571800689428071/1738357064370321731193239240970942975791113 : DD3DB2C713BC8A49
2017-10-02	kkmrkkblmbrbk	C-PRP	M5077/127615111167457/6070563715235599/1802399606525304030597395571800689428071/1738357064370321731193239240970942975791113 : 6A54A1466D3C8A9B
2017-09-26	George Woltman	C-PRP	M5077/127615111167457/6070563715235599/1738357064370321731193239240970942975791113/1802399606525304030597395571800689428071 : 6A54A1466D3C8A9B
2017-09-20	kkmrkkblmbrbk	C-PRP	M5077/127615111167457/6070563715235599/1802399606525304030597395571800689428071/1738357064370321731193239240970942975791113 : 6A54A1466D3C8A9B
2016-10-04	kkmrkkblmbrbk	F-ECM	Factor: 1802399606525304030597395571800689428071
1999-04-23	-anonymous-	F-PM1	Factor: 127615111167457