34 757 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
180140365403133910283863	24	77.3	old
79377637117561550427558348263819494264513	41	135.9	2022-08-06 13:49:20

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	963 / 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 (Factored)	2017-09-21	Oliver Kruse	D35FDAD21A7BCAF7	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D35FDAD21A7BCAF7	1	13314	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	36C694C960FEE74C	1	28346	5	3
Verified	2022-08-06	nordi	36C694C960FEE74C	2	20828	5	3

P-1 factors

Date	Factor	B1	B2
2022-08-06	79377637117561550427558348263819494264513	2000000000	404642322534450

History

Date	User	Type	Result
2022-08-06	nordi	C-PRP	M34757/180140365403133910283863/79377637117561550427558348263819494264513 : 36C694C960FEE74C PRP: Verified PRP without proof (small exponent)
2022-08-06	nordi	F-PM1	Factor: 79377637117561550427558348263819494264513 / (P-1, B1=2000000000, B2=404642322534450)
2022-05-01	nordi	NF-PM1	B1=2000000000
2020-04-17	Oliver Kruse	C-PRP	M34757/180140365403133910283863 : 36C694C960FEE74C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M34757/180140365403133910283863 : D35FDAD21A7BCAF7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34757/180140365403133910283863 : D35FDAD21A7BCAF7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34757/180140365403133910283863 : D35FDAD21A7BCAF7 PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12