3 347 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
26777	5	14.7	old
119588311	9	26.8	old
31979681311	11	34.9	old
7842496055169286411917637286180740326121	40	132.5	2018-11-14 02:57:25
2580041706979284415428708642517393263239235769517537358169	58	190.7	2021-06-30 23:40:43

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	14802 / 40830

Estimated T-Level: 51.8 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	C24B4BDF984494B6	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	C24B4BDF984494B6	3	537	1	3
Verified (Factored)	2018-11-15	eteo	955F1DCCB31F420D	4	656	5	3
Verified (Factored)	2018-11-16	Oliver Kruse	955F1DCCB31F420D	4	2772	5	3
Verified (Factored)	2020-04-17	Oliver Kruse	955F1DCCB31F420D	4	2531	5	3
Verified	2021-07-01	mikr	955F1DCCB31F420D	5	1430	5	3
Verified	2021-07-02	kutens	955F1DCCB31F420D	5	1830	5	3

History

Date	User	Type	Result
2025-04-26	masser	NF-PP1	Start=105/59, B1=3100000000, B2=3096900000000
2024-05-22	masser	NF-PM1	B1=77000000000, B2=107408793065243670
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2021-07-02	kutens	C-PRP	M3347/26777/119588311/31979681311/7842496055169286411917637286180740326121/2580041706979284415428708642517393263239235769517537358169 : 955F1DCCB31F420D PRP: Verified PRP without proof (small exponent)
2021-07-01	mikr	C-PRP	M3347/26777/119588311/31979681311/7842496055169286411917637286180740326121/2580041706979284415428708642517393263239235769517537358169 : 955F1DCCB31F420D PRP: Verified PRP without proof (small exponent)
2021-06-30	Ryan Propper	F-ECM	Factor: 2580041706979284415428708642517393263239235769517537358169 / (ECM curve 1, B1=850000000, B2=14601464077218, Sigma=6646399498689729400)
2020-04-17	Oliver Kruse	C-PRP	M3347/26777/119588311/31979681311/7842496055169286411917637286180740326121 : 955F1DCCB31F420D PRP: Verified PRP without proof (small exponent)
2018-11-16	Oliver Kruse	C-PRP	M3347/26777/119588311/31979681311/7842496055169286411917637286180740326121 : 955F1DCCB31F420D PRP: Verified PRP without proof (small exponent)
2018-11-15	eteo	C-PRP	M3347/26777/119588311/31979681311/7842496055169286411917637286180740326121 : 955F1DCCB31F420D PRP: Verified PRP without proof (small exponent)
2018-11-14	eteo	F-ECM	Factor: 7842496055169286411917637286180740326121 / (ECM curve 1178, B1=11000000, B2=1100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3347/26777/119588311/31979681311 : C24B4BDF984494B6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3347/26777/119588311/31979681311 : C24B4BDF984494B6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3347/26777/119588311/31979681311 : C24B4BDF984494B6 PRP without proof (not generated)