2 213 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
53113	5	15.7	old
7967736971962111	16	52.8	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	40830 / 40830
60	260000000	59993 / 105362

Estimated T-Level: 57.8 ⓘ

TF below 2^187 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	677C086644180F54	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	677C086644180F54	2	441	1	3
Verified	2020-04-17	Oliver Kruse	32D3F33B03342BD1	2	770	5	3
Verified	2024-01-27	Wentao Huang	32D3F33B03342BD1	2	1970	5	3

History

Date	User	Type	Result
2024-01-27	Wentao Huang	C-PRP	M2213/53113/7967736971962111 : 32D3F33B03342BD1 PRP: Verified PRP without proof (small exponent)
2022-11-02	BloodIce	NF-PM1	B1=1000000000000, B2=1310734418439435990
2022-08-31	BloodIce	NF-PM1	B1=100000000000, B2=131090587926788490
2022-08-30	BloodIce	NF-PM1	B1=10000000000, B2=8197466515738500
2021-12-27	onlinegame	NF-PM1	B1=50000000000, B2=500000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M2213/53113/7967736971962111 : 32D3F33B03342BD1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2213/53113/7967736971962111 : 677C086644180F54 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2213/53113/7967736971962111 : 677C086644180F54 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2213/53113/7967736971962111 : 677C086644180F54 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12