5 521 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
88337	5	16.4	old
3533441	7	21.8	old
12509293235767	14	43.5	old
247685995213799	15	47.8	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	11548 / 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	F22459EDF3B82DBE	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F22459EDF3B82DBE	4	0	1	3
Verified	2017-12-07	ATH	F22459EDF3B82DBE	4	557	1	3
Verified	2020-04-17	Oliver Kruse	C103C61C8B7CF82B	4	2999	5	3
Verified	2024-02-03	Wentao Huang	C103C61C8B7CF82B	4	4585	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5521/88337/3533441/12509293235767/247685995213799 : C103C61C8B7CF82B PRP: Verified PRP without proof (small exponent)
2023-07-12	-Anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5521/88337/3533441/12509293235767/247685995213799 : C103C61C8B7CF82B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5521/88337/3533441/12509293235767/247685995213799 : F22459EDF3B82DBE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5521/88337/3533441/12509293235767/247685995213799 : F22459EDF3B82DBE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5521/known_factors : F22459EDF3B82DBE PRP without proof (not generated)