3 739 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
321846958129	12	38.2	old
1048664264528137	16	49.9	old
87324492488943933757801	23	76.2	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	14369 / 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	2017-09-21	Oliver Kruse	D8AA689FF0185C52	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D8AA689FF0185C52	3	0	1	3
Verified	2017-12-07	ATH	D8AA689FF0185C52	3	296	1	3
Verified	2020-04-17	Oliver Kruse	814A0CA5F93C6876	3	468	5	3
Verified	2024-02-03	Wentao Huang	814A0CA5F93C6876	3	1357	5	3

History

Date	User	Type	Result
2024-06-18	masser	NF-PM1	B1=77000000000, B2=616077002060520
2024-02-03	Wentao Huang	C-PRP	M3739/321846958129/1048664264528137/87324492488943933757801 : 814A0CA5F93C6876 PRP: Verified PRP without proof (small exponent)
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2021-08-23	H Michaelson	NF-PP1	Start=151/53, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M3739/321846958129/1048664264528137/87324492488943933757801 : 814A0CA5F93C6876 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3739/321846958129/1048664264528137/87324492488943933757801 : D8AA689FF0185C52 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3739/321846958129/1048664264528137/87324492488943933757801 : D8AA689FF0185C52 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3739/known_factors : D8AA689FF0185C52 PRP without proof (not generated)