5 303 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
10607	5	13.4	old
6024209	7	22.5	old
33737687	8	25.0	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	11666 / 16550

Estimated T-Level: 48.5 ⓘ

TF below 2^156 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	CC9E225CD332F527	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	CC9E225CD332F527	3	1914	1	3
Verified	2020-04-17	Oliver Kruse	AEC61BAFC14BA618	3	3561	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	AEC61BAFC14BA618	1	3286	5	3
Verified	2024-02-03	Wentao Huang	AEC61BAFC14BA618	3	3959	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5303/10607/6024209/33737687 : AEC61BAFC14BA618 PRP: Verified PRP without proof (small exponent)
2024-01-08	mikr	NF-PM1	B1=500000000000, B2=1311295166917335600
2023-07-02	-Anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-05-12	Jorge Coveiro	C-PRP	M5303/10607 : AEC61BAFC14BA618 PRP: Verified PRP without proof (small exponent)
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-04-17	Oliver Kruse	C-PRP	M5303/10607/6024209/33737687 : AEC61BAFC14BA618 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5303/10607/6024209/33737687 : CC9E225CD332F527 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5303/10607/6024209/33737687 : CC9E225CD332F527 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5303/10607/6024209/33737687 : CC9E225CD332F527 PRP without proof (not generated)