113 621 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
681727	6	19.4	old
826251913	9	29.6	2008-07-26 09:17:17
946999902847	12	39.8	2008-07-26 09:17:18
32240250130135306111	20	64.8	2011-02-16 22:40:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	558 / 1566

Estimated T-Level: 31.8 ⓘ

TF below 2^101 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	6E8756C5B89FA18E	4	0	1	3
Verified	2017-09-22	Oliver Kruse	6E8756C5B89FA18E	4	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	6E8756C5B89FA18E	4	87816	1	3
Verified	2020-04-17	Oliver Kruse	B3391FFC2EE0218A	4	87272	5	3
Verified	2024-02-03	Wentao Huang	B3391FFC2EE0218A	4	18123	5	3

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M113621/681727/826251913/946999902847/32240250130135306111 : B3391FFC2EE0218A PRP proof power = 5 PRP: Verified Proof certified good
2022-05-09	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-09	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-09	LordJulius	NF	no factor from 2^60 to 2^61
2022-05-09	LordJulius	NF	no factor from 2^59 to 2^60
2022-05-09	LordJulius	NF	no factor from 2^58 to 2^59
2022-05-09	LordJulius	NF	no factor from 2^57 to 2^58
2020-04-17	Oliver Kruse	C-PRP	M113621/681727/826251913/946999902847/32240250130135306111 : B3391FFC2EE0218A PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M113621/681727/826251913/946999902847/32240250130135306111 : 6E8756C5B89FA18E PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M113621/681727/826251913/946999902847/32240250130135306111 : 6E8756C5B89FA18E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M113621/681727/826251913/946999902847/32240250130135306111 : 6E8756C5B89FA18E PRP without proof (not generated)
2017-01-01	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-02-16	James Hintz	F-ECM	Factor: 32240250130135306111
2008-07-26	J Feitsma	F	Factor: 946999902847
2008-07-26	J Feitsma	F	Factor: 826251913