3 947 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
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	13496 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 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	4F702948246791BA	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4F702948246791BA	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4F702948246791BA	4	3632	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3017DDA814519FAE	4	341	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3017DDA814519FAE	4	3700	5	3

History

Date	User	Type	Result
2025-05-10	masser	NF-PP1	Start=167/71, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 3017DDA814519FAE
2023-05-14	JacobZ	NF-PM1	B1=66000000000, B2=5781650744289420
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 3017DDA814519FAE
2017-12-07	ATH	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 4F702948246791BA
2017-10-02	kkmrkkblmbrbk	C-PRP	M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 4F702948246791BA
2017-09-21	Oliver Kruse	C-PRP	M3947/known_factors : 4F702948246791BA