34 607 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
5052623	7	22.3	old
29969663	8	24.8	2008-08-26 19:59:34
146268341574944374552492378189126929192772489	45	146.7	2022-08-03 23:25:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	960 / 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	F5FE780B1D332C94	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	F5FE780B1D332C94	2	34005	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	BE2B930AD22185B8	2	5453	5	3
Verified	2022-08-03	nordi	BE2B930AD22185B8	3	26426	5	3
Verified	2022-08-04	Wentao Huang	BE2B930AD22185B8	3	34226	5	3

P-1 factors

Date	Factor	B1	B2
2022-08-03	146268341574944374552492378189126929192772489	2000000000	404642322534450

History

Date	User	Type	Result
2022-08-04	Wentao Huang	C-PRP	M34607/5052623/29969663/146268341574944374552492378189126929192772489 : BE2B930AD22185B8 PRP: Verified PRP without proof (small exponent)
2022-08-03	nordi	C-PRP	M34607/5052623/29969663/146268341574944374552492378189126929192772489 : BE2B930AD22185B8 PRP: Verified PRP without proof (small exponent)
2022-08-03	nordi	F-PM1	Factor: 146268341574944374552492378189126929192772489 / (P-1, B1=2000000000, B2=404642322534450)
2022-06-15	nordi	NF-PM1	B1=2000000000
2020-04-17	Oliver Kruse	C-PRP	M34607/5052623/29969663 : BE2B930AD22185B8 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M34607/5052623/29969663 : F5FE780B1D332C94 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34607/5052623/29969663 : F5FE780B1D332C94 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34607/5052623/29969663 : F5FE780B1D332C94 PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 29969663