13 907 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
51738167959183	14	45.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1325 / 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	2017-09-21	Oliver Kruse	824E46EECEFA61B3	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	824E46EECEFA61B3	1	13711	1	3
Verified	2020-04-17	Oliver Kruse	C0A7106756610BD3	1	4813	5	3
Verified	2024-07-01	kkmrkkblmbrbk	C0A7106756610BD3	1	5730	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M13907/51738167959183 : C0A7106756610BD3 PRP: Verified PRP without proof (small exponent)
2023-11-30	-Anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13907/51738167959183 : C0A7106756610BD3 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13907/51738167959183 : 824E46EECEFA61B3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13907/51738167959183 : 824E46EECEFA61B3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13907/51738167959183 : 824E46EECEFA61B3 PRP without proof (not generated)