3 797 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
91129	5	16.5	old
16689030041	11	34.0	old
22782534297066524681	20	64.3	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	14927 / 40830

Estimated T-Level: 51.8 ⓘ

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)	2017-09-21	Oliver Kruse	31FF225BC1E6FAAF	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	31FF225BC1E6FAAF	3	1255	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	4987304486FE180E	3	2217	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	4987304486FE180E	3	1868	5	3

History

Date	User	Type	Result
2025-05-05	masser	NF-PP1	Start=164/67, B1=2600000000, B2=2597400000000
2024-06-25	masser	NF-PM1	B1=77000000000, B2=89972114786804250
2024-02-03	Wentao Huang	C-PRP	M3797/91129/16689030041/22782534297066524681 : 4987304486FE180E
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3797/91129/16689030041/22782534297066524681 : 4987304486FE180E
2017-10-12	kkmrkkblmbrbk	C-PRP	M3797/91129/16689030041/22782534297066524681 : 31FF225BC1E6FAAF
2017-09-21	Oliver Kruse	C-PRP	M3797/91129/16689030041/22782534297066524681 : 31FF225BC1E6FAAF
2017-09-21	Oliver Kruse	C-PRP	M3797/91129/16689030041/22782534297066524681 : 31FF225BC1E6FAAF
2009-10-25	Carsten Kossendey	F	Factor: 1520854618606289
2005-03-20	-anonymous-	F	Factor: 1520854618606289
2005-03-20	-anonymous-	F	Factor: 22782534297066524681