4 789 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
6854888399	10	32.7	old
2187164372999560742018151373871068632661184927	46	150.6	2009-05-07 01:16:38
96741861806358296883727443531917216674230928279	47	156.1	2021-03-29 23:20:41

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	16550 / 16550
55	110000000	16254 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	C3E372E50B6E8AB5	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	C3E372E50B6E8AB5	2	0	1	3
Verified (Factored)	2017-12-07	ATH	C3E372E50B6E8AB5	2	597	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	FD63163CEC254872	2	3793	5	3
Verified	2021-03-30	mnd9	FD63163CEC254872	3	2379	5	3
Verified	2021-03-31	daveward2005	FD63163CEC254872	3	1122	5	3

History

Date	User	Type	Result
2023-05-29	-Anonymous-	NF-PM1	B1=66000000000, B2=662102605034570700
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-03-31	daveward2005	C-PRP	M4789/6854888399/2187164372999560742018151373871068632661184927/96741861806358296883727443531917216674230928279 : FD63163CEC254872 PRP: Verified PRP without proof (small exponent)
2021-03-30	mnd9	C-PRP	M4789/6854888399/2187164372999560742018151373871068632661184927/96741861806358296883727443531917216674230928279 : FD63163CEC254872 PRP: Verified PRP without proof (small exponent)
2021-03-29	Ryan Propper	F-ECM	Factor: 96741861806358296883727443531917216674230928279 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=15964574855681716579)
2020-04-17	Oliver Kruse	C-PRP	M4789/6854888399/2187164372999560742018151373871068632661184927 : FD63163CEC254872 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4789/6854888399/2187164372999560742018151373871068632661184927 : C3E372E50B6E8AB5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4789/6854888399/2187164372999560742018151373871068632661184927 : C3E372E50B6E8AB5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4789/known_factors : C3E372E50B6E8AB5 PRP without proof (not generated)
2009-05-07	unconnected	F-ECM	Factor: 2187164372999560742018151373871068632661184927