7 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
95506919	8	26.5	old
148766367961	12	37.1	old
3866805438995833	16	51.8	old
32846897850878691178673	23	74.8	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	6862 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	33BC03C97E52C7AB	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	33BC03C97E52C7AB	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	33BC03C97E52C7AB	4	5702	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F286B1F9486F42E3	4	3270	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F286B1F9486F42E3	4	4230	5	3

History

Date	User	Type	Result
2025-04-05	masser	NF-PP1	Start=189/31, B1=830000000, B2=829170000000
2025-03-26	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-16	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7451/95506919/148766367961/3866805438995833/32846897850878691178673 : F286B1F9486F42E3
2023-08-30	-anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7451/95506919/148766367961/3866805438995833/32846897850878691178673 : F286B1F9486F42E3
2017-12-07	ATH	C-PRP	M7451/95506919/148766367961/3866805438995833/32846897850878691178673 : 33BC03C97E52C7AB
2017-10-02	kkmrkkblmbrbk	C-PRP	M7451/95506919/148766367961/3866805438995833/32846897850878691178673 : 33BC03C97E52C7AB
2017-09-21	Oliver Kruse	C-PRP	M7451/known_factors : 33BC03C97E52C7AB
2009-10-25	Carsten Kossendey	F-PM1	Factor: 54940412532561133285808273616863447