8 219 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
1988999	7	20.9	old
8736428131736170757183	22	72.9	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	6758 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	A0D471D3A3E557B2	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A0D471D3A3E557B2	2	659	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B3F572D051C63E73	2	7940	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	B3F572D051C63E73	2	3760	5	3

History

Date	User	Type	Result
2025-05-20	masser	NF-PP1	Start=90/71, B1=1300000000, B2=1298700000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M8219/1988999/8736428131736170757183 : B3F572D051C63E73
2023-09-01	JacobZ	NF-PM1	B1=72000000000, B2=265422648792401100
2021-08-25	H Michaelson	NF-PM1	B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M8219/1988999/8736428131736170757183 : B3F572D051C63E73
2017-10-12	kkmrkkblmbrbk	C-PRP	M8219/1988999/8736428131736170757183 : A0D471D3A3E557B2
2017-09-21	Oliver Kruse	C-PRP	M8219/1988999/8736428131736170757183 : A0D471D3A3E557B2
2017-09-21	Oliver Kruse	C-PRP	M8219/1988999/8736428131736170757183 : A0D471D3A3E557B2