5 683 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
875183	6	19.7	old
2436643081	10	31.2	old
488146893994153896262668000217	30	98.6	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	5996 / 16550

Estimated T-Level: 46.8 ⓘ

TF below 2^151 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	F19693BF6D7093A4	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F19693BF6D7093A4	3	0	1	3
Verified	2017-12-07	ATH	F19693BF6D7093A4	3	4802	1	3
Verified	2020-04-17	Oliver Kruse	E48C29081A2A10E0	3	4350	5	3
Verified	2024-02-03	Wentao Huang	E48C29081A2A10E0	3	4908	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5683/875183/2436643081/488146893994153896262668000217 : E48C29081A2A10E0 PRP: Verified PRP without proof (small exponent)
2023-07-17	-Anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006836580309560
2020-04-17	Oliver Kruse	C-PRP	M5683/875183/2436643081/488146893994153896262668000217 : E48C29081A2A10E0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5683/875183/2436643081/488146893994153896262668000217 : F19693BF6D7093A4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5683/875183/2436643081/488146893994153896262668000217 : F19693BF6D7093A4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5683/known_factors : F19693BF6D7093A4 PRP without proof (not generated)