what is the record for most consecutives games with at least 4 rebounds

Karl Malone had the most games with 4+ rebounds, with 1,448 games.

Interpreted as:

What is the record for most consecutives regular-season games by a player with at least 4 rebounds?

	NAME	GP	REB	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	PTS	AST	STL	BLK	TOV	PF	+/-
1	Karl Malone K. Malone	1,448	14,905	37.4	25.2	10.3	3.6	1.4	0.8	9.2	17.9	51.6	0.1	0.2	27.5	6.7	9.0	74.2	57.7	2.5	7.8	3.1	54,167	36,550	5,181	2,064	1,138	4,456	4,495	+3040
2	LeBron James L. James	1,434	11,443	38.0	27.3	8.0	7.5	1.5	0.7	10.0	19.7	50.7	1.7	4.7	34.8	5.6	7.6	73.6	59.1	1.2	6.8	3.5	54,546	39,080	10,720	2,174	1,071	5,062	2,592	+7196
3	Kevin Garnett K. Garnett	1,378	14,487	35.4	18.4	10.5	3.8	1.3	1.4	7.4	14.9	49.6	0.1	0.5	27.5	3.5	4.4	79.0	54.6	2.3	8.2	2.3	48,716	25,328	5,299	1,778	1,979	3,106	3,392	+4824
4	Dirk Nowitzki D. Nowitzki	1,353	11,141	35.2	21.8	8.2	2.5	0.8	0.9	7.7	16.3	47.3	1.3	3.5	38.3	5.1	5.8	87.9	57.9	1.1	7.2	1.7	47,612	29,531	3,403	1,127	1,201	2,327	3,283	+6509
5	Tim Duncan T. Duncan	1,353	14,996	34.5	19.3	11.1	3.1	0.7	2.2	7.5	14.8	50.6	0.0	0.1	18.0	4.3	6.2	69.5	55.1	2.8	8.3	2.5	46,623	26,139	4,153	1,007	2,979	3,333	3,256	+8864
6	Dwight Howard D. Howard	1,199	14,533	32.4	16.1	12.1	1.4	0.9	1.8	5.8	9.9	58.6	0.0	0.1	20.4	4.4	7.8	56.7	60.2	3.4	8.7	2.7	38,887	19,288	1,656	1,065	2,211	3,257	3,823	+3059
7	Hakeem Olajuwon H. Olajuwon	1,198	13,651	36.2	22.2	11.4	2.5	1.8	3.2	8.8	17.3	51.2	0.0	0.1	20.2	4.5	6.3	71.2	55.4	3.3	8.0	3.0	43,390	26,584	3,018	2,112	3,791	3,614	4,277	+653
8	Kevin Willis K. Willis	1,178	11,470	30.0	13.8	9.7	1.1	0.8	0.6	5.7	11.6	49.1	0.0	0.2	21.3	2.4	3.4	71.6	52.9	3.4	6.4	2.0	35,342	16,243	1,257	884	679	2,326	3,678	-260
9	Charles Oakley C. Oakley	1,175	12,015	32.9	10.2	10.2	2.6	1.1	0.3	4.0	8.4	47.3	0.1	0.2	25.3	2.2	2.9	76.0	52.7	3.3	6.9	2.3	38,612	12,029	3,076	1,290	369	2,688	4,155	+317
10	Shaquille O'Neal S. O'Neal	1,169	13,026	35.2	24.1	11.1	2.5	0.6	2.3	9.5	16.4	58.2	0.0	0.0	4.5	5.0	9.5	52.7	58.6	3.6	7.6	2.8	41,160	28,158	2,977	712	2,691	3,234	4,025	+4925
11	Pau Gasol P. Gasol	1,164	11,168	34.1	17.4	9.6	3.3	0.5	1.6	6.6	13.1	50.8	0.1	0.4	36.4	4.0	5.3	75.2	56.5	2.6	7.0	2.2	39,646	20,263	3,803	582	1,878	2,546	2,529	+2216
12	Buck Williams B. Williams	1,143	11,844	33.3	13.2	10.4	1.3			5.0	9.1	54.9	0.0			3.2	4.8	66.6	58.8				38,097	15,118	1,491				3,788	+174
13	Jason Kidd J. Kidd	1,130	8,150	37.1	13.2	7.2	9.1	2.0	0.3	4.7	11.7	39.7	1.5	4.2	34.8	2.4	3.1	78.3	50.4	1.5	5.7	3.0	41,949	14,865	10,256	2,233	382	3,374	2,137	+3674
14	Patrick Ewing P. Ewing	1,120	11,480	35.4	21.7	10.3	1.9	1.0	2.5	8.5	16.9	50.5	0.0	0.1	15.4	4.7	6.4	74.0	55.3	2.4	7.8	3.1	39,599	24,351	2,162	1,113	2,842	3,453	3,892	+505
15	Otis Thorpe O. Thorpe	1,096	10,024	33.8	15.2	9.1	2.4	0.7	0.4	5.9	10.8	55.0	0.0	0.1	5.1	3.3	4.9	68.5	58.8	3.1	6.1	2.3	37,003	16,641	2,579	784	474	2,567	3,679	-129
16	Dikembe Mutombo D. Mutombo	1,071	12,132	33.2	10.7	11.3	1.1	0.4	3.0	3.8	7.3	52.0	0.0	0.0	0.0	3.1	4.5	68.3	57.4	3.5	7.8	2.0	35,530	11,491	1,228	477	3,210	2,117	3,208	+1855
17	Al Horford A. Horford	1,066	8,792	31.9	13.1	8.2	3.2	0.8	1.2	5.4	10.6	50.8	0.9	2.3	37.3	1.5	1.9	76.2	57.1	2.0	6.2	1.4	34,006	13,926	3,436	828	1,226	1,503	2,274	+3675
18	Shawn Marion S. Marion	1,065	9,894	35.6	15.9	9.3	2.0	1.6	1.1	6.5	13.5	48.4	0.7	2.1	33.3	2.1	2.6	81.1	54.2	2.5	6.8	1.6	37,931	16,892	2,084	1,682	1,170	1,656	2,395	+2202
19	A.C. Green	1,052	9,029	31.1	10.9	8.6	1.2	0.9	0.5	4.0	8.0	49.7	0.1	0.4	26.5	2.8	3.8	73.8	56.1	3.0	5.5	1.3	32,768	11,435	1,276	930	490	1,316	2,110	-138
20	Horace Grant H. Grant	1,046	9,200	34.6	11.8	8.8	2.3	1.0	1.0	4.9	9.6	51.2	0.0	0.1	6.8	1.9	2.8	69.3	54.3	3.2	5.6	1.2	36,205	12,316	2,421	1,063	1,084	1,223	2,614	+939
21	Charles Barkley C. Barkley	1,043	12,474	37.1	22.5	12.0	4.0	1.6	0.8	8.0	14.7	54.2	0.5	1.9	26.6	6.0	8.2	73.4	61.3	4.1	7.9	3.2	38,686	23,438	4,157	1,627	872	3,323	3,224	+533
22	Vlade Divac V. Divac	1,024	9,071	30.9	12.4	8.9	3.2	1.2	1.5	4.8	9.7	49.6	0.1	0.4	22.9	2.7	3.9	69.0	54.3	2.7	6.1	2.2	31,619	12,689	3,310	1,214	1,539	2,303	3,328	+2317
23	Carmelo Anthony C. Anthony	1,021	7,271	35.7	23.5	7.1	2.8	1.0	0.5	8.4	18.8	44.7	1.3	3.8	35.0	5.4	6.6	81.3	54.2	1.8	5.3	2.6	36,448	23,967	2,895	1,036	525	2,623	2,943	+1674
24	Tyson Chandler T. Chandler	1,019	10,194	29.2	8.8	10.0	0.9	0.6	1.2	3.3	5.5	59.7	0.0	0.0	0.0	2.2	3.4	64.7	62.7	3.4	6.6	1.5	29,715	9,007	893	597	1,239	1,513	2,968	+973
25	Paul Pierce P. Pierce	1,016	6,844	36.2	21.3	6.7	3.8	1.4	0.6	7.0	15.7	44.4	1.7	4.5	37.1	5.7	7.1	80.0	56.6	1.0	5.7	2.8	36,758	21,627	3,855	1,456	590	2,878	2,831	+3216