2 797 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
21302877855270603243781956883847214766183	41	134.0	old
99966410000212091183671262757251795787241105921	47	156.1	2016-11-14 19:12:19

P-1 factors

Date	Factors	B1	B2
2016-11-14	99966410000212091183671262757251795787241105921	100000000000	0

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	18313 / 40830

Estimated T-Level: 52.2 ⓘ

TF below 2^169 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	8B705B067A681EF9	2	0	1	3
Verified	No proof (small exponent)	2017-09-26	George Woltman	8B705B067A681EF9	2	19	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8B705B067A681EF9	2	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	82AECB363A901DEE	2	1953	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	82AECB363A901DEE	2	1471	5	3

History

Date	User	Type	Result
2025-04-12	masser	NF-PP1	Start=73/31, B1=4300000000, B2=4295700000000
2024-03-21	masser	NF-PM1	B1=140000000000, B2=154936629132855570
2024-02-03	Wentao Huang	C-PRP	M2797/21302877855270603243781956883847214766183/99966410000212091183671262757251795787241105921 : 82AECB363A901DEE
2020-04-17	Oliver Kruse	C-PRP	M2797/21302877855270603243781956883847214766183/99966410000212091183671262757251795787241105921 : 82AECB363A901DEE
2017-10-02	kkmrkkblmbrbk	C-PRP	M2797/21302877855270603243781956883847214766183/99966410000212091183671262757251795787241105921 : 8B705B067A681EF9
2017-09-26	George Woltman	C-PRP	M2797/21302877855270603243781956883847214766183/99966410000212091183671262757251795787241105921 : 8B705B067A681EF9
2017-09-20	kkmrkkblmbrbk	C-PRP	M2797/21302877855270603243781956883847214766183/99966410000212091183671262757251795787241105921 : 8B705B067A681EF9
2016-11-14	kkmrkkblmbrbk	F-PM1	Factor: 99966410000212091183671262757251795787241105921 / B1=100000000000
2000-08-10	-anonymous-	NF	no factor TF: 1-56
2000-02-09	-anonymous-	NF	no factor TF: 54-55
1999-12-23	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53
1998-06-20	-anonymous-	NF	no factor TF: 50-52