5 717 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
34303	5	15.1	old
45737	5	15.5	old
238828799480148767	18	57.7	old
6874095210019673201	19	62.6	old
15207401467002629062250927984714020443089	41	133.5	2020-11-14 07:04:14

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	6098 / 16550

Estimated T-Level: 46.8 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	194A77E2DA2EB20F	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	194A77E2DA2EB20F	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	194A77E2DA2EB20F	4	550	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	80AFB30DD3F3856C	4	2396	5	3
Verified	No proof (small exponent)	2020-11-14	Jinyuan Wang	80AFB30DD3F3856C	5	2210	5	3
Verified	No proof (small exponent)	2020-11-16	arnaud	80AFB30DD3F3856C	5	3475	5	3

History

Date	User	Type	Result
2025-05-23	masser	NF-PP1	Start=103/13, B1=2100000000, B2=2097900000000
2023-07-18	-anonymous-	NF-PM1	B1=43000000000, B2=180124832351714250
2022-01-24	Ethan O'Connor	NF-PM1	B1=520000000
2021-12-16	ANONYMOUS	NF-PM1	B1=200000000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-11-16	arnaud	C-PRP	M5717/34303/45737/238828799480148767/6874095210019673201/15207401467002629062250927984714020443089 : 80AFB30DD3F3856C
2020-11-14	Jinyuan Wang	C-PRP	M5717/34303/45737/238828799480148767/6874095210019673201/15207401467002629062250927984714020443089 : 80AFB30DD3F3856C
2020-11-14	Ryan Propper	F-ECM	Factor: 15207401467002629062250927984714020443089
2020-04-17	Oliver Kruse	C-PRP	M5717/34303/45737/238828799480148767/6874095210019673201 : 80AFB30DD3F3856C
2017-12-07	ATH	C-PRP	M5717/34303/45737/238828799480148767/6874095210019673201 : 194A77E2DA2EB20F
2017-10-02	kkmrkkblmbrbk	C-PRP	M5717/34303/45737/238828799480148767/6874095210019673201 : 194A77E2DA2EB20F
2017-09-21	Oliver Kruse	C-PRP	M5717/known_factors : 194A77E2DA2EB20F