261 059 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2088473	7	21.0	old
102081190854701707459836085369	30	96.4	2020-06-01 11:31:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	199 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	2B6E3E52D24D679D	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	2B6E3E52D24D679D	1	182351	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	2B6E3E52D24D679D	1	228010	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	896CC68B7222498C	1	189888	5	3
Verified	2020-06-01	M Miller	896CC68B7222498C	2	51390	5	3

History

Date	User	Type	Result
2022-05-03	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-09-15	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2021-08-28	fbaur	NF-PM1	B1=15000000, B2=1500000000, E=12
2020-06-01	M Miller	C-PRP	M261059/2088473/102081190854701707459836085369 : 896CC68B7222498C PRP: Verified PRP without proof (small exponent)
2020-06-01	nordi	F-ECM	Factor: 102081190854701707459836085369 / (ECM curve 105, B1=250000, B2=25000000, Sigma=7926904120850075)
2020-04-17	Oliver Kruse	C-PRP	M261059/2088473 : 896CC68B7222498C PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M261059/2088473 : 2B6E3E52D24D679D PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M261059/2088473 : 2B6E3E52D24D679D PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M261059/2088473 : 2B6E3E52D24D679D PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M261059/2088473 : 2B6E3E52D24D679D PRP without proof (not generated)