1 831 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
202081830521	12	37.6	old
21919356186601	14	44.3	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	105362 / 105362
65	800000000	65867 / 194238

Estimated T-Level: 61.7 ⓘ

TF below 2^200 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	9B52F38DC9035A8E	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	9B52F38DC9035A8E	2	1649	1	3
Verified	2020-04-17	Oliver Kruse	EFE491714CD0E39E	2	1648	5	3
Verified	2020-08-12	_p95holder_	EFE491714CD0E39E	2	1245	5	3

History

Date	User	Type	Result
2022-10-24	mikr	NF-PM1	B1=500000000000, B2=3217559319645030360
2021-07-24	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1831/202081830521/21919356186601 : EFE491714CD0E39E PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M1831/202081830521/21919356186601 : EFE491714CD0E39E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M1831/202081830521/21919356186601 : 9B52F38DC9035A8E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1831/202081830521/21919356186601 : 9B52F38DC9035A8E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M1831/202081830521/21919356186601 : 9B52F38DC9035A8E PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12