8 623 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
80504329	8	26.3	old
551942725847	12	39.0	old
21892961443229946199532390134322025687991	41	134.0	2021-03-29 18:19:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	6959 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	512E96B77F6D0B1E	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	512E96B77F6D0B1E	2	6191	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	AE1D1EDB5DAE0D6C	2	6324	5	3
Verified	2021-03-30	mnd9	AE1D1EDB5DAE0D6C	3	2816	5	3
Verified	2021-04-02	Taikelenn	AE1D1EDB5DAE0D6C	3	8028	5	3

History

Date	User	Type	Result
2023-08-14	JacobZ	NF-PM1	B1=68000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-04-02	Taikelenn	C-PRP	M8623/80504329/551942725847/21892961443229946199532390134322025687991 : AE1D1EDB5DAE0D6C PRP: Verified PRP without proof (small exponent)
2021-03-30	mnd9	C-PRP	M8623/80504329/551942725847/21892961443229946199532390134322025687991 : AE1D1EDB5DAE0D6C PRP: Verified PRP without proof (small exponent)
2021-03-29	Bruno Victal	F-ECM	Factor: 21892961443229946199532390134322025687991 / (ECM curve 133, B1=11000000, B2=30114149530, sigma=5441154307057067)
2020-04-17	Oliver Kruse	C-PRP	M8623/80504329/551942725847 : AE1D1EDB5DAE0D6C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8623/80504329/551942725847 : 512E96B77F6D0B1E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8623/80504329/551942725847 : 512E96B77F6D0B1E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8623/80504329/551942725847 : 512E96B77F6D0B1E PRP without proof (not generated)