7 349 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
42197959	8	25.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2050 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^132 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	68F12A808AA58794	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	68F12A808AA58794	1	4172	1	3
Verified	2020-04-17	Oliver Kruse	C93D815819C8CF40	1	2549	5	3
Verified	2024-02-03	Wentao Huang	C93D815819C8CF40	1	3624	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7349/42197959 : C93D815819C8CF40 PRP: Verified PRP without proof (small exponent)
2023-08-30	-Anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7349/42197959 : C93D815819C8CF40 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M7349/42197959 : 68F12A808AA58794 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7349/42197959 : 68F12A808AA58794 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7349/42197959 : 68F12A808AA58794 PRP without proof (not generated)