13 679 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
109433	6	16.7	old
246223	6	17.9	2008-08-26 19:58:40
100157639	9	26.6	2008-08-26 19:58:40
312975521	9	28.2	2008-08-26 19:58:40
19705922417816082121	20	64.1	2008-08-29 02:24:33
1295445979368162725657872910907040893208969	43	139.9	2023-06-09 08:20:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1361 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	A499E92412B30409	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	A499E92412B30409	5	0	1	3
Verified (Factored)	2017-12-07	ATH	A499E92412B30409	5	7785	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	A2D1D21DD345B30A	5	12055	5	3
Verified	2023-06-09	Denial140	A2D1D21DD345B30A	6	100	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-29	19705922417816082121	100000000000	122154521813133808

History

Date	User	Type	Result
2024-01-29	Anton Repko	F-PM1	Factor: 19705922417816082121 / (P-1, B1=100000000000, B2=122154521813133810)
2023-06-09	Denial140	C-PRP	M13679/109433/246223/100157639/312975521/19705922417816082121/1295445979368162725657872910907040893208969 : A2D1D21DD345B30A PRP: Verified PRP without proof (small exponent)
2023-06-09	Denial140	F-ECM	Factor: 1295445979368162725657872910907040893208969 / (ECM curve 179, B1=3000000, B2=22972799850, Sigma=2949510651080596)
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M13679/109433/246223/100157639/312975521/19705922417816082121 : A2D1D21DD345B30A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M13679/109433/246223/100157639/312975521/19705922417816082121 : A499E92412B30409 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13679/109433/246223/100157639/312975521/19705922417816082121 : A499E92412B30409 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13679/109433/246223/100157639/312975521/19705922417816082121 : A499E92412B30409 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 19705922417816082121
2008-08-26	-Anonymous-	F	Factor: 312975521
2008-08-26	-Anonymous-	F	Factor: 100157639
2008-08-26	-Anonymous-	F	Factor: 246223