7 019 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
990366863	9	29.9	old
16937271017791	14	43.9	old
253739960282707478434698089689	30	97.7	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	2869 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	B7D85D3AA5B3AF25	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B7D85D3AA5B3AF25	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B7D85D3AA5B3AF25	3	832	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AAD6BBE40F41213B	3	1807	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	AAD6BBE40F41213B	3	769	5	3

History

Date	User	Type	Result
2025-12-17	Kriesel	F-ECM	Factor: 990366863 / ECM curve 1, B1=60000, B2=333330
2025-03-24	masser	NF-PP1	Start=122/67, B1=1000000000, B2=999000000000
2025-03-16	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-07	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M7019/990366863/16937271017791/253739960282707478434698089689 : AAD6BBE40F41213B
2023-08-23	-anonymous-	NF-PM1	B1=35000000000, B2=143589103727719650
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7019/990366863/16937271017791/253739960282707478434698089689 : AAD6BBE40F41213B
2017-12-07	ATH	C-PRP	M7019/990366863/16937271017791/253739960282707478434698089689 : B7D85D3AA5B3AF25
2017-10-02	kkmrkkblmbrbk	C-PRP	M7019/990366863/16937271017791/253739960282707478434698089689 : B7D85D3AA5B3AF25
2017-09-21	Oliver Kruse	C-PRP	M7019/known_factors : B7D85D3AA5B3AF25
2009-10-25	Carsten Kossendey	F-PM1	Factor: 16937271017791