281 243 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
1047923268468300732647	22	69.8	2008-10-01 22:52:28
112198047609642386440284959	27	86.5	2020-06-01 04:00:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	187 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	7330	0
Verified (Factored)		Unknown	7330	0
Verified (Factored)		Brian J. Beesley	B8AC738B9F20F330	0
Verified (Factored)		Eivind Triel	B8AC738B9F20F330	182780
Verified (Factored)	2002-03-03	Brian J. Beesley	B8AC738B9F20F330	189652

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	229422F9FDDC4B11	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	229422F9FDDC4B11	1	59103	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	6BAE1046DF010CDE	1	99533	5	3
Verified	2020-06-01	M Miller	6BAE1046DF010CDE	2	161687	5	3

History

Date	User	Type	Result
2023-12-09	USAFSS	NF-PM1	B1=1875000, B2=10591113390
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-06-01	M Miller	C-PRP	M281243/1047923268468300732647/112198047609642386440284959 : 6BAE1046DF010CDE PRP: Verified PRP without proof (small exponent)
2020-06-01	nordi	F-ECM	Factor: 112198047609642386440284959 / (ECM curve 23, B1=250000, B2=25000000, Sigma=3674166146721031)
2020-04-17	Oliver Kruse	C-PRP	M281243/1047923268468300732647 : 6BAE1046DF010CDE PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M281243/1047923268468300732647 : 229422F9FDDC4B11 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M281243/1047923268468300732647 : 229422F9FDDC4B11 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M281243/1047923268468300732647 : 229422F9FDDC4B11 PRP without proof (not generated)
2008-10-01	Sturle Sunde	F-ECM	Factor: 1047923268468300732647