8 111 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 7 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
16223	5	14.0	old
41917649	8	25.3	old
25919771153	11	34.6	old
86496678737432464328273	23	76.2	old
224086241657028583781332539932686711	36	117.4	old
6506557682176866360596441759072424667541689	43	142.2	2017-05-22 15:27:45
2736378679052345545917895072180598558105496631	46	150.9	2023-01-28 14:51:33

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	16550 / 16550
55	110000000	12973 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	97D8CE26BB175A21	6	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	97D8CE26BB175A21	6	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	97D8CE26BB175A21	6	5182	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	D4A99451ABD1B68A	6	5024	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	D4A99451ABD1B68A	1	4245	5	3
Verified	No proof (small exponent)	2023-01-28	Denial140	D4A99451ABD1B68A	7	1846	5	3

History

Date	User	Type	Result
2025-05-24	masser	NF-PP1	Start=176/61, B1=1300000000, B2=1298700000000
2023-09-02	JacobZ	NF-PM1	B1=73000000000, B2=269450985774120150
2023-01-28	Denial140	C-PRP	M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689/2736378679052345545917895072180598558105496631 : D4A99451ABD1B68A
2023-01-28	Denial140	F-ECM	Factor: 2736378679052345545917895072180598558105496631 / ECM curve 138, B1=11000000, B2=99324315090, Montgomery Sigma=7000555281870627
2022-05-12	Jorge Coveiro	C-PRP	M8111/16223 : D4A99451ABD1B68A
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689 : D4A99451ABD1B68A
2017-12-07	ATH	C-PRP	M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689 : 97D8CE26BB175A21
2017-10-02	kkmrkkblmbrbk	C-PRP	M8111/16223/41917649/25919771153/86496678737432464328273/224086241657028583781332539932686711/6506557682176866360596441759072424667541689 : 97D8CE26BB175A21
2017-09-21	Oliver Kruse	C-PRP	M8111/known_factors : 97D8CE26BB175A21
2017-05-22	kkmrkkblmbrbk	F-ECM	Factor: 6506557682176866360596441759072424667541689