3 947 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1277249201	10	30.3	old
819936352573701329	18	59.5	old
1288611259151574659808429577	28	90.1	old
496290850493839161950725705883941969289	39	128.5	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	16550 / 16550
55	110000000	13457 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^167 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	4F702948246791BA	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4F702948246791BA	4	0	1	3
Verified	2017-12-07	ATH	4F702948246791BA	4	3632	1	3
Verified	2020-04-17	Oliver Kruse	3017DDA814519FAE	4	341	5	3
Verified	2024-02-03	Wentao Huang	3017DDA814519FAE	4	3700	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 3017DDA814519FAE PRP: Verified PRP without proof (small exponent)
2023-05-14	JacobZ	NF-PM1	B1=66000000000, B2=5781650744289420
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 3017DDA814519FAE PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 4F702948246791BA PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 4F702948246791BA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3947/known_factors : 4F702948246791BA PRP without proof (not generated)