894 259 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
3464403989847821759	19	61.6	2009-10-30 20:37:33
10576719695059657474922848223	29	93.1	2024-04-12 16:13:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	29A4	0
Verified (Factored)		Thiemo Sammern	5CA0C4238BD5E9A4	0
Verified (Factored)	2002-01-28	Marc Getty / Phil Fizur	5CA0C4238BD5E9A4	462542

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-28	Oliver Kruse	55CF2D2D54D1E49B	1	0	1	3
Verified (Factored)	2017-10-14	Oliver Kruse	55CF2D2D54D1E49B	1	581829	1	3
Verified (Factored)	2017-12-20	ATH	55CF2D2D54D1E49B	1	824496	1	3
Verified (Factored)	2020-04-22	Oliver Kruse	69F07E42CADA4039	1	875267	5	3
Verified	2024-04-12	Anton Tsvetkov	69F07E42CADA4039	2	695930	5	3

P-1 factors

Date	Factor	B1	B2
2024-04-12	10576719695059657474922848223	8000000	10032425130

History

Date	User	Type	Result
2024-04-12	LOBES	CERT	PRP Certification Proof certified good
2024-04-12	Anton Tsvetkov	C-PRP	M894259/3464403989847821759/10576719695059657474922848223 : 69F07E42CADA4039 PRP proof power = 6 PRP: Verified Proof certified good
2024-04-12	Anton Tsvetkov	F-PM1	Factor: 10576719695059657474922848223 / (P-1, B1=8000000, B2=10032425130)
2022-03-07	LordJulius	NF	no factor from 2^58 to 2^59
2020-04-22	Oliver Kruse	C-PRP	M894259/3464403989847821759 : 69F07E42CADA4039 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-20	ATH	C-PRP	M894259/3464403989847821759 : 55CF2D2D54D1E49B PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M894259/3464403989847821759 : 55CF2D2D54D1E49B PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M894259/3464403989847821759 : 55CF2D2D54D1E49B PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2009-10-30	Lupo	F-ECM	Factor: 3464403989847821759