5 153 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

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	9780 / 16550

Estimated T-Level: 48.0 ⓘ

TF below 2^154 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	B1313CC71F07DD3C	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B1313CC71F07DD3C	5	0	1	3
Verified	2017-12-07	ATH	B1313CC71F07DD3C	5	1238	1	3
Verified	2020-04-17	Oliver Kruse	29A3AAABD979F817	5	3913	5	3
Verified	2024-02-03	Wentao Huang	29A3AAABD979F817	5	4460	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5153/656837707608502342847/107893061830917983/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : 29A3AAABD979F817 PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5153/107893061830917983/656837707608502342847/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : B1313CC71F07DD3C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5153/107893061830917983/656837707608502342847/1029259314886359626516404518701057/122878007034158223322356585933364679/892269123971188550335605971108584159 : B1313CC71F07DD3C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5153/known_factors : B1313CC71F07DD3C PRP without proof (not generated)
2009-05-19	unconnected	F-ECM	Factor: 892269123971188550335605971108584159