5 021 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
40169	5	15.3	old
1007429667902115959	19	59.8	old
17041303509745709680847374032199	32	103.7	old
652186013241811119293393366778013474249896543387596426769641	60	198.7	2024-02-07 14:33:05

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	14186 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	E8266A27D289E149	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E8266A27D289E149	3	0	1	3
Verified (Factored)	2017-12-07	ATH	E8266A27D289E149	3	3787	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	B8AA7B10940EE62D	3	3731	5	3
Verified (Factored)	2024-02-03	Wentao Huang	B8AA7B10940EE62D	3	4075	5	3
Verified	2024-02-08	Ryan Propper	B8AA7B10940EE62D	4	1616	5	3

History

Date	User	Type	Result
2024-02-08	Ryan Propper	C-PRP	M5021/40169/1007429667902115959/17041303509745709680847374032199/652186013241811119293393366778013474249896543387596426769641 : B8AA7B10940EE62D PRP: Verified PRP without proof (small exponent)
2024-02-07	Ryan Propper	F-ECM	Factor: 652186013241811119293393366778013474249896543387596426769641 / (ECM curve 2, B1=260000000, B2=6083641994430, Edwards Sigma=2584250628193816)
2024-02-03	Wentao Huang	C-PRP	M5021/40169/1007429667902115959/17041303509745709680847374032199 : B8AA7B10940EE62D PRP: Verified PRP without proof (small exponent)
2023-06-02	-Anonymous-	NF-PM1	B1=63000000000, B2=632233314515152350
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242002648447560
2020-04-17	Oliver Kruse	C-PRP	M5021/40169/1007429667902115959/17041303509745709680847374032199 : B8AA7B10940EE62D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5021/40169/1007429667902115959/17041303509745709680847374032199 : E8266A27D289E149 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5021/40169/1007429667902115959/17041303509745709680847374032199 : E8266A27D289E149 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5021/known_factors : E8266A27D289E149 PRP without proof (not generated)