564 457 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
39508860650393	14	45.2	old
22851284559146353	17	54.3	2014-10-26 12:14:07
8274818686157161200889	22	72.8	2016-10-28 12:18:23
242704701751288765896283913	27	87.6	2016-03-18 10:48:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	210 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	1CEC06C9930E15BF	4	0	1	3
Verified	2017-10-13	Oliver Kruse	1CEC06C9930E15BF	4	138597	1	3
Verified	2017-12-15	ATH	1CEC06C9930E15BF	4	543676	1	3
Verified	2020-04-19	Oliver Kruse	BED8C76D72D9389D	4	543796	5	3
Verified	2025-01-10	kkmrkkblmbrbk	BED8C76D72D9389D	4	230250	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-26	22851284559146353	1500000	50000000

History

Date	User	Type	Result
2025-01-10	Torchwood Institute	CERT	PRP Certification Proof certified good
2025-01-10	kkmrkkblmbrbk	C-PRP	M564457/39508860650393/22851284559146353/8274818686157161200889/242704701751288765896283913 : BED8C76D72D9389D PRP proof power = 6 PRP: Verified Proof certified good
2022-12-10	USAFSS	NF-PM1	B1=1750000, B2=5527862340
2020-04-19	Oliver Kruse	C-PRP	M564457/39508860650393/22851284559146353/8274818686157161200889/242704701751288765896283913 : BED8C76D72D9389D PRP: Verified PRP without proof (small exponent)
2017-12-15	ATH	C-PRP	M564457/39508860650393/22851284559146353/8274818686157161200889/242704701751288765896283913 : 1CEC06C9930E15BF PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M564457/39508860650393/22851284559146353/242704701751288765896283913/8274818686157161200889 : 1CEC06C9930E15BF PRP: Verified PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M564457/39508860650393/22851284559146353/242704701751288765896283913/8274818686157161200889 : 1CEC06C9930E15BF PRP: Verified PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M564457/39508860650393/22851284559146353/242704701751288765896283913/8274818686157161200889 : 1CEC06C9930E15BF PRP without proof (not generated)
2016-10-28	TJAOI	F-ECM	Factor: 8274818686157161200889 / (ECM curve 45, B1=50000, B2=5000000)
2016-03-18	TJAOI	F-ECM	Factor: 242704701751288765896283913 / (ECM curve 86, B1=50000, B2=5000000)
2014-10-26	alpertron	F-PM1	Factor: 22851284559146353 / (P-1, B1=1500000, B2=50000000, E=12)