59 281 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
1266597847	10	30.2	old
10366235014308281	17	53.2	2009-06-20 03:27:43
2629952747349016244022846861359	31	101.1	2020-07-12 01:33:21

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	591 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	04C1EEF434A08279	2	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	04C1EEF434A08279	2	34261	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	0545AB8FFA1659D3	2	10216	5	3
Verified	2020-07-12	M Miller	0545AB8FFA1659D3	3	15999	5	3

History

Date	User	Type	Result
2023-05-13	JacobZ	NF-PM1	B1=580000000, B2=261546772326840
2021-05-06	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2020-07-12	M Miller	C-PRP	M59281/1266597847/10366235014308281/2629952747349016244022846861359 : 0545AB8FFA1659D3 PRP: Verified PRP without proof (small exponent)
2020-07-12	nordi	F-ECM	Factor: 2629952747349016244022846861359 / (ECM curve 71, B1=1000000, B2=100000000, Sigma=1839501894401793)
2020-04-17	Oliver Kruse	C-PRP	M59281/1266597847/10366235014308281 : 0545AB8FFA1659D3 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M59281/1266597847/10366235014308281 : 04C1EEF434A08279 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M59281/1266597847/10366235014308281 : 04C1EEF434A08279 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M59281/1266597847/10366235014308281 : 04C1EEF434A08279 PRP without proof (not generated)
2016-10-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-06-20	Matthias Wurtinger	F-ECM	Factor: 10366235014308281