13 807 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
5786568929	10	32.4	old
291102086785587367516962179944541201	36	117.8	2021-10-14 06:39:18

P-1 factors

Date	Factors	B1	B2
2024-01-29	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	1522 / 9201

Estimated T-Level: 40.8 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	FF72A8989C65C6D6	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	FF72A8989C65C6D6	1	4480	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	6B00B168A6576871	1	12216	5	3
Verified	No proof (small exponent)	2021-10-14	mikr	6B00B168A6576871	2	11974	5	3

History

Date	User	Type	Result
2025-02-20	masser	NF-PP1	Start=152/41, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-23	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-01-29	-anonymous-	F-PM1	Factor: 291102086785587367516962179944541201 / B1=100000000000, B2=122154521813133810
2023-05-21	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=10000000, B2=871003243110
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2021-10-14	mikr	C-PRP	M13807/5786568929/291102086785587367516962179944541201 : 6B00B168A6576871
2021-10-14	nordi	F-ECM	Factor: 291102086785587367516962179944541201 / ECM curve 153, B1=3000000, B2=300000000, Montgomery Sigma=3193117401197275
2020-04-17	Oliver Kruse	C-PRP	M13807/5786568929 : 6B00B168A6576871
2017-10-12	kkmrkkblmbrbk	C-PRP	M13807/5786568929 : FF72A8989C65C6D6
2017-09-21	Oliver Kruse	C-PRP	M13807/5786568929 : FF72A8989C65C6D6
2017-09-21	Oliver Kruse	C-PRP	M13807/5786568929 : FF72A8989C65C6D6