21 221 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
636631	6	19.3	old
2546521	7	21.3	2008-08-26 19:59:02
694855970094079	15	49.3	2008-08-26 19:59:02
54264694995610323463578429783479	32	105.4	2021-10-19 02:30:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	927 / 4588

Estimated T-Level: 36.0 ⓘ

TF below 2^115 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	2132A74E6208B00C	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	2132A74E6208B00C	3	7830	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	C4376C53C4D873EE	3	4693	5	3
Verified	2021-10-19	H Michaelson	C4376C53C4D873EE	4	12587	5	3

History

Date	User	Type	Result
2023-09-08	nordi	NF-PM1	B1=12000000000, B2=3617752722003420
2023-05-07	nordi	NF-PM1	B1=12000000000
2021-10-19	H Michaelson	C-PRP	M21221/636631/2546521/694855970094079/54264694995610323463578429783479 : C4376C53C4D873EE PRP: Verified PRP without proof (small exponent)
2021-10-19	nordi	F-ECM	Factor: 54264694995610323463578429783479 / (ECM curve 33, B1=3000000, B2=300000000, Sigma=5413391649756996)
2020-04-17	Oliver Kruse	C-PRP	M21221/636631/2546521/694855970094079 : C4376C53C4D873EE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M21221/636631/2546521/694855970094079 : 2132A74E6208B00C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21221/636631/2546521/694855970094079 : 2132A74E6208B00C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21221/636631/2546521/694855970094079 : 2132A74E6208B00C PRP without proof (not generated)
2016-11-18	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F-PM1	Factor: 694855970094079
2008-08-26	-Anonymous-	F	Factor: 2546521