what is the record for most consecutives games with at least 3 rebounds

LeBron James has the most games with 3+ rebounds, with 1,509 games.

Interpreted as:

What is the record for most consecutives regular-season games by a player with at least 3 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	LeBron James L. James	1,509	11,668	37.9	27.1	7.7	7.4	1.5	0.7	9.9	19.6	50.7	1.6	4.7	34.7	5.6	7.5	73.7	59.0	1.2	6.5	3.5	57,169	40,856	11,210	2,274	1,115	5,290	2,699	+7448
2	Karl Malone K. Malone	1,460	14,941	37.3	25.2	10.2	3.6	1.4	0.8	9.2	17.9	51.6	0.1	0.2	27.4	6.7	9.0	74.2	57.7	2.4	7.8	3.1	54,508	36,748	5,219	2,072	1,144	4,486	4,533	+3032
3	Dirk Nowitzki D. Nowitzki	1,423	11,351	34.8	21.5	8.0	2.5	0.8	0.9	7.6	16.1	47.2	1.3	3.5	38.4	5.0	5.7	87.9	57.9	1.0	7.0	1.7	49,515	30,634	3,519	1,168	1,237	2,421	3,447	+6582
4	Kevin Garnett K. Garnett	1,414	14,595	35.0	18.2	10.3	3.8	1.3	1.4	7.3	14.7	49.6	0.1	0.4	27.4	3.4	4.3	79.1	54.6	2.3	8.1	2.2	49,497	25,669	5,368	1,816	2,003	3,136	3,477	+4831
5	Tim Duncan T. Duncan	1,375	15,062	34.2	19.2	11.0	3.1	0.7	2.2	7.4	14.7	50.6	0.0	0.1	17.9	4.3	6.1	69.6	55.1	2.8	8.2	2.4	47,073	26,367	4,198	1,019	3,005	3,363	3,284	+8949
6	Kevin Willis K. Willis	1,256	11,704	29.1	13.3	9.3	1.0	0.7	0.6	5.5	11.2	49.0	0.0	0.1	21.5	2.3	3.2	71.3	52.7	3.2	6.1	1.9	36,567	16,695	1,286	912	705	2,404	3,854	-488
7	Jason Kidd J. Kidd	1,244	8,492	36.8	13.0	6.8	8.9	2.0	0.3	4.6	11.5	39.9	1.4	4.1	34.9	2.4	3.0	78.2	50.6	1.4	5.4	3.0	45,799	16,162	11,123	2,470	414	3,678	2,352	+3966
8	Hakeem Olajuwon H. Olajuwon	1,221	13,720	35.9	21.9	11.2	2.5	1.7	3.1	8.7	17.1	51.2	0.0	0.1	20.2	4.4	6.2	71.2	55.4	3.3	7.9	3.0	43,856	26,788	3,038	2,135	3,809	3,646	4,330	+583
9	Dwight Howard D. Howard	1,219	14,593	32.2	15.9	12.0	1.4	0.9	1.8	5.8	9.8	58.7	0.0	0.1	21.8	4.4	7.7	56.7	60.2	3.4	8.6	2.7	39,194	19,419	1,669	1,074	2,221	3,287	3,873	+2932
10	Charles Oakley C. Oakley	1,209	12,117	32.5	10.1	10.0	2.6	1.1	0.3	3.9	8.3	47.2	0.1	0.2	25.4	2.2	2.9	76.0	52.7	3.2	6.8	2.3	39,296	12,221	3,140	1,312	374	2,723	4,255	+313
11	Pau Gasol P. Gasol	1,193	11,255	33.9	17.3	9.4	3.2	0.5	1.6	6.6	13.0	50.8	0.1	0.4	36.7	3.9	5.2	75.3	56.5	2.6	6.9	2.2	40,417	20,638	3,874	591	1,909	2,598	2,589	+1978
12	Shaquille O'Neal S. O'Neal	1,183	13,068	35.1	24.0	11.0	2.5	0.6	2.3	9.5	16.3	58.2	0.0	0.0	4.5	5.0	9.5	52.7	58.6	3.6	7.5	2.8	41,474	28,350	2,999	727	2,704	3,265	4,076	+4900
13	Buck Williams B. Williams	1,175	11,940	33.1	13.1	10.2	1.3			5.0	9.0	54.8	0.0			3.1	4.7	66.6	58.7				38,847	15,335	1,513				3,870	+191
14	Otis Thorpe O. Thorpe	1,170	10,246	33.0	14.7	8.8	2.3	0.7	0.4	5.8	10.5	54.8	0.0	0.1	4.8	3.2	4.7	68.6	58.6	2.9	5.8	2.3	38,579	17,240	2,656	814	491	2,686	3,911	-251
15	Paul Pierce P. Pierce	1,163	7,285	35.5	20.7	6.3	3.7	1.4	0.6	6.8	15.2	44.5	1.6	4.5	36.8	5.5	6.8	80.4	56.7	0.9	5.3	2.7	41,257	24,043	4,292	1,583	667	3,186	3,233	+3400
16	Patrick Ewing P. Ewing	1,152	11,576	35.0	21.4	10.0	1.9	1.0	2.5	8.4	16.6	50.4	0.0	0.1	15.2	4.6	6.3	74.0	55.3	2.4	7.7	3.0	40,266	24,668	2,197	1,128	2,879	3,504	3,986	+464
17	A.C. Green	1,136	9,281	30.5	10.5	8.2	1.2	0.9	0.5	3.9	7.8	49.6	0.1	0.4	26.0	2.7	3.6	73.7	56.0	2.9	5.3	1.2	34,599	11,937	1,347	984	521	1,369	2,259	-223
18	Carmelo Anthony C. Anthony	1,133	7,607	35.1	23.0	6.7	2.8	1.0	0.5	8.2	18.4	44.7	1.4	3.9	35.4	5.2	6.4	81.4	54.2	1.7	5.0	2.5	39,793	26,057	3,128	1,136	589	2,848	3,235	+1866
19	Russell Westbrook R. Westbrook	1,124	8,635	33.8	21.6	7.7	8.3	1.6	0.3	7.8	17.8	43.8	1.2	3.8	30.5	4.9	6.4	77.0	52.5	1.7	5.9	4.0	37,990	24,274	9,295	1,767	375	4,532	2,901	+2567
20	Kobe Bryant K. Bryant	1,124	6,716	37.8	26.5	6.0	5.0	1.5	0.5	9.2	20.6	44.8	1.4	4.2	32.8	6.7	8.0	83.8	55.0	1.3	4.7	3.1	42,487	29,826	5,628	1,711	570	3,517	2,891	+4026
21	Al Horford A. Horford	1,113	8,933	31.7	13.0	8.0	3.2	0.8	1.1	5.3	10.5	50.8	0.9	2.3	37.9	1.4	1.9	76.2	57.3	1.9	6.1	1.4	35,292	14,430	3,562	861	1,275	1,549	2,361	+3652
22	Dikembe Mutombo D. Mutombo	1,113	12,258	32.4	10.4	11.0	1.1	0.4	2.9	3.7	7.1	51.9	0.0	0.0	0.0	3.0	4.4	68.3	57.4	3.4	7.6	1.9	36,101	11,624	1,230	483	3,245	2,140	3,282	+1798
23	Shawn Marion S. Marion	1,111	10,032	35.2	15.6	9.0	1.9	1.5	1.1	6.4	13.3	48.4	0.7	2.1	33.2	2.1	2.5	81.0	54.2	2.4	6.6	1.5	39,145	17,373	2,148	1,719	1,202	1,709	2,480	+2053
24	Vince Carter V. Carter	1,099	6,025	33.6	19.5	5.5	3.6	1.1	0.7	7.0	16.0	44.1	1.6	4.3	38.0	3.8	4.8	79.8	54.0	1.4	4.1	2.0	36,883	21,436	3,928	1,239	720	2,153	3,087	+2361
25	Horace Grant H. Grant	1,098	9,356	34.1	11.6	8.5	2.3	1.0	1.0	4.8	9.5	51.1	0.0	0.1	6.6	1.9	2.7	69.2	54.2	3.1	5.4	1.2	37,458	12,705	2,514	1,104	1,115	1,266	2,720	+864