13 297 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
624107993	9	29.2	old
3391711064236073956959672529	28	91.5	2009-06-03 01:40:44
15885362546598556926481200572423	32	103.6	2017-05-17 12:42:44

P-1 factors

Date	Factors	B1	B2
2023-12-19	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1578 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 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	1DB5ACA5FC18DEB5	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1DB5ACA5FC18DEB5	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1DB5ACA5FC18DEB5	3	1745	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	804995B33547D1D3	3	11491	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	804995B33547D1D3	3	3010	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=86/59, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-29	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13297/15885362546598556926481200572423/3391711064236073956959672529/624107993 : 804995B33547D1D3
2023-12-19	-anonymous-	F-PM1	Factor: 3391711064236073956959672529 / B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8300000000, B2=34023579430740900
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13297/624107993/3391711064236073956959672529/15885362546598556926481200572423 : 804995B33547D1D3
2017-12-07	ATH	C-PRP	M13297/624107993/3391711064236073956959672529/15885362546598556926481200572423 : 1DB5ACA5FC18DEB5
2017-10-02	kkmrkkblmbrbk	C-PRP	M13297/624107993/3391711064236073956959672529/15885362546598556926481200572423 : 1DB5ACA5FC18DEB5
2017-09-21	Oliver Kruse	C-PRP	M13297/624107993/3391711064236073956959672529/15885362546598556926481200572423 : 1DB5ACA5FC18DEB5
2017-05-17	kkmrkkblmbrbk	F-ECM	Factor: 15885362546598556926481200572423
2009-06-03	-anonymous-	F-ECM	Factor: 3391711064236073956959672529