5 273 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
38134337	8	25.2	old
10372530354079	14	43.2	old
105636369464519254639	21	66.5	old
14295639336224604778372751	26	83.6	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	10552 / 16550

Estimated T-Level: 48.2 ⓘ

TF below 2^155 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	BDD2290AB18AB394	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BDD2290AB18AB394	4	0	1	3
Verified	2017-12-07	ATH	BDD2290AB18AB394	4	186	1	3
Verified	2020-04-17	Oliver Kruse	34F16B85C416E481	4	2205	5	3
Verified	2024-02-03	Wentao Huang	34F16B85C416E481	4	648	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : 34F16B85C416E481 PRP: Verified PRP without proof (small exponent)
2023-06-29	-Anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2022-01-24	Ethan O'Connor	NF-PM1	B1=130000000, B2=184786243171530
2021-11-19	nordi	NF-PM1	B1=100000000
2021-11-19	nordi	NF-PM1	B1=1000000
2020-04-17	Oliver Kruse	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : 34F16B85C416E481 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : BDD2290AB18AB394 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5273/38134337/10372530354079/105636369464519254639/14295639336224604778372751 : BDD2290AB18AB394 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5273/known_factors : BDD2290AB18AB394 PRP without proof (not generated)