8 719 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
2877271	7	21.5	old
3045843860959	13	41.5	old
152434756283431	15	47.1	old
4363523968885313	16	52.0	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	8064 / 16550

Estimated T-Level: 47.4 ⓘ

TF below 2^153 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	A22D4A1604B33914	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A22D4A1604B33914	4	0	1	3
Verified	2017-12-07	ATH	A22D4A1604B33914	4	2629	1	3
Verified	2020-04-17	Oliver Kruse	54889B12FDDBD910	4	2105	5	3
Verified	2024-07-01	kkmrkkblmbrbk	54889B12FDDBD910	4	3369	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8719/152434756283431/2877271/3045843860959/4363523968885313 : 54889B12FDDBD910 PRP: Verified PRP without proof (small exponent)
2023-08-09	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8719/2877271/3045843860959/152434756283431/4363523968885313 : 54889B12FDDBD910 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8719/2877271/3045843860959/152434756283431/4363523968885313 : A22D4A1604B33914 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8719/2877271/3045843860959/152434756283431/4363523968885313 : A22D4A1604B33914 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8719/known_factors : A22D4A1604B33914 PRP without proof (not generated)