3 727 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
205342793	9	27.6	old
1998930621797847308375383	25	80.7	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	17361 / 40830

Estimated T-Level: 52.1 ⓘ

TF below 2^168 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	076B41D902E2BF44	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	076B41D902E2BF44	2	2255	1	3
Verified	2020-04-17	Oliver Kruse	E86A24402A6C7725	2	1832	5	3
Verified	2024-02-03	Wentao Huang	E86A24402A6C7725	2	963	5	3

History

Date	User	Type	Result
2024-06-14	masser	NF-PM1	B1=77000000000, B2=134291622652777590
2024-02-03	Wentao Huang	C-PRP	M3727/205342793/1998930621797847308375383 : E86A24402A6C7725 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=86/23, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M3727/205342793/1998930621797847308375383 : E86A24402A6C7725 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3727/205342793/1998930621797847308375383 : 076B41D902E2BF44 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3727/205342793/1998930621797847308375383 : 076B41D902E2BF44 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3727/205342793/1998930621797847308375383 : 076B41D902E2BF44 PRP without proof (not generated)