21 839 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
81765217	8	26.3	old
52948234669475574865021382265339751	35	115.4	2017-10-28 09:25:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	940 / 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	8B4D9A71B9618F10	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	8B4D9A71B9618F10	1	12375	1	3
Verified	2017-10-28	Oliver Kruse	A6A5C9608249851C	2	2280	5	3
Verified	2017-10-29	kkmrkkblmbrbk	A6A5C9608249851C	2	11184	5	3

History

Date	User	Type	Result
2023-09-29	nordi	NF-PM1	B1=12000000000, B2=3602870096075250
2023-05-08	nordi	NF-PM1	B1=12000000000
2021-06-28	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2017-10-29	kkmrkkblmbrbk	C-PRP	M21839/81765217/52948234669475574865021382265339751 : A6A5C9608249851C PRP: Verified PRP without proof (small exponent)
2017-10-28	Oliver Kruse	C-PRP	M21839/81765217/52948234669475574865021382265339751 : A6A5C9608249851C PRP: Verified PRP without proof (small exponent)
2017-10-28	kkmrkkblmbrbk	F-ECM	Factor: 52948234669475574865021382265339751 / (ECM curve 1336, B1=1000000, B2=100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M21839/81765217 : 8B4D9A71B9618F10 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21839/81765217 : 8B4D9A71B9618F10 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21839/81765217 : 8B4D9A71B9618F10 PRP without proof (not generated)
2016-11-18	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12