21 757 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
3797478677015096999	19	61.7	old
21508282504120873142544647	26	84.2	2009-04-03 13:42:15

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	2017-09-21	Oliver Kruse	1F9DBD1B8C133D07	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	1F9DBD1B8C133D07	2	0	1	3
Verified	2017-12-07	ATH	1F9DBD1B8C133D07	2	19870	1	3
Unverified	2020-04-17	Oliver Kruse	18567D662EC485__	2	18778	5	3

History

Date	User	Type	Result
2023-09-29	nordi	NF-PM1	B1=12000000000, B2=3602870096075250
2023-04-19	nordi	NF-PM1	B1=12000000000
2021-06-28	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M21757/3797478677015096999/21508282504120873142544647 : 18567D662EC485__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M21757/3797478677015096999/21508282504120873142544647 : 1F9DBD1B8C133D07 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M21757/3797478677015096999/21508282504120873142544647 : 1F9DBD1B8C133D07 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21757/3797478677015096999/21508282504120873142544647 : 1F9DBD1B8C133D07 PRP without proof (not generated)
2016-11-18	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-04-03	Matthias Wurtinger	F-ECM	Factor: 21508282504120873142544647