34 487 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
2230659992609	13	41.0	old
8499648765727232761565576446289	31	102.7	2018-10-15 23:43:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	2008 / 4588

Estimated T-Level: 37.2 ⓘ

TF below 2^119 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	858CD661E0D2B06B	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	858CD661E0D2B06B	1	25562	1	3
Verified	2018-10-15	rucio	B7FA8545B6AEB56C	2	6180	5	3
Verified	2018-10-16	Oliver Kruse	B7FA8545B6AEB56C	2	23814	5	3

History

Date	User	Type	Result
2024-12-27	masser	NF-PP1	Start=144/37, B1=60000000, B2=59940000000
2024-12-21	masser	NF-PP1	Start=6/5, B1=60000000, B2=59940000000
2024-12-18	masser	NF-PP1	Start=2/7, B1=60000000, B2=59940000000
2022-08-03	nordi	NF-PM1	B1=2000000000, B2=402448467070650
2022-07-18	nordi	NF-PM1	B1=2000000000
2018-10-16	Oliver Kruse	C-PRP	M34487/2230659992609/8499648765727232761565576446289 : B7FA8545B6AEB56C PRP: Verified PRP without proof (small exponent)
2018-10-15	rucio	C-PRP	M34487/2230659992609/8499648765727232761565576446289 : B7FA8545B6AEB56C PRP: Verified PRP without proof (small exponent)
2018-10-15	Niels_Mache_Nextcloud	F-ECM	Factor: 8499648765727232761565576446289 / (ECM curve 3, B1=1000000, B2=100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M34487/2230659992609 : 858CD661E0D2B06B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34487/2230659992609 : 858CD661E0D2B06B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34487/2230659992609 : 858CD661E0D2B06B PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12