7 151 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
14303	5	13.8	old
2864483907497	13	41.4	old
28305635394521	14	44.7	old
35314630906184177887463	23	74.9	old
32647220550461602253824631	26	84.8	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	4364 / 16550

Estimated T-Level: 46.3 ⓘ

TF below 2^149 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	CBE2000970448E2E	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	CBE2000970448E2E	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	CBE2000970448E2E	5	6993	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	53C67985900102FB	5	6208	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	53C67985900102FB	1	3764	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	53C67985900102FB	5	595	5	3

History

Date	User	Type	Result
2025-04-01	masser	NF-PP1	Start=198/19, B1=830000000, B2=829170000000
2025-03-21	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-14	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7151/14303/2864483907497/28305635394521/35314630906184177887463/32647220550461602253824631 : 53C67985900102FB
2023-08-25	-anonymous-	NF-PM1	B1=34000000000, B2=142096338314180250
2022-05-12	Jorge Coveiro	C-PRP	M7151/14303 : 53C67985900102FB
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	M7151/14303/2864483907497/28305635394521/35314630906184177887463/32647220550461602253824631 : 53C67985900102FB
2017-12-07	ATH	C-PRP	M7151/14303/2864483907497/28305635394521/35314630906184177887463/32647220550461602253824631 : CBE2000970448E2E
2017-10-02	kkmrkkblmbrbk	C-PRP	M7151/14303/2864483907497/28305635394521/35314630906184177887463/32647220550461602253824631 : CBE2000970448E2E
2017-09-21	Oliver Kruse	C-PRP	M7151/known_factors : CBE2000970448E2E
2009-10-25	Carsten Kossendey	F	Factor: 1159702073342122736787916170911