5 153 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
107893061830917983	18	56.6	old
656837707608502342847	21	69.2	old
1029259314886359626516404518701057	34	109.7	old
122878007034158223322356585933364679	36	116.6	old
892269123971188550335605971108584159	36	119.4	2009-05-19 22:36:43

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	10008 / 16550

Estimated T-Level: 48.0 ⓘ

TF below 2^155 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	B1313CC71F07DD3C	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B1313CC71F07DD3C	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B1313CC71F07DD3C	5	1238	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	29A3AAABD979F817	5	3913	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	29A3AAABD979F817	5	4460	5	3

History

Date	User	Type	Result
2025-04-23	masser	NF-PP1	Start=159/53, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5153/656837707608502342847/107893061830917983/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : 29A3AAABD979F817
2023-06-14	-anonymous-	NF-PM1	B1=61000000000, B2=253675805559976800
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M5153/107893061830917983/656837707608502342847/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : 29A3AAABD979F817
2017-12-07	ATH	C-PRP	M5153/107893061830917983/656837707608502342847/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : B1313CC71F07DD3C
2017-10-02	kkmrkkblmbrbk	C-PRP	M5153/107893061830917983/656837707608502342847/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : B1313CC71F07DD3C
2017-09-21	Oliver Kruse	C-PRP	M5153/known_factors : B1313CC71F07DD3C
2009-05-19	unconnected	F-ECM	Factor: 892269123971188550335605971108584159
2009-04-22	-anonymous-	F-PM1	Factor: 656837707608502342847