9 619 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
615617	6	19.2	old
17256487	8	24.0	old
53840698033	11	35.6	old
2795306870189903423	19	61.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3642 / 9201

Estimated T-Level: 42.0 ⓘ

TF below 2^134 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	D0F867396C2FC36A	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D0F867396C2FC36A	4	0	1	3
Verified	2017-12-07	ATH	D0F867396C2FC36A	4	8030	1	3
Verified	2020-04-17	Oliver Kruse	4A115EE72234EF8B	4	8711	5	3
Verified	2024-07-01	kkmrkkblmbrbk	4A115EE72234EF8B	4	9200	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9619/17256487/2795306870189903423/53840698033/615617 : 4A115EE72234EF8B PRP: Verified PRP without proof (small exponent)
2023-06-25	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9619/615617/17256487/53840698033/2795306870189903423 : 4A115EE72234EF8B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9619/615617/17256487/53840698033/2795306870189903423 : D0F867396C2FC36A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9619/615617/17256487/53840698033/2795306870189903423 : D0F867396C2FC36A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9619/known_factors : D0F867396C2FC36A PRP without proof (not generated)