Between the 2001 and 2004 seasons, Albert Pujols had the most runs, with 500 runs.

Interpreted as:

most runs by a player from 2001 to 2004

	NAME	R	G	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Albert Pujols A. Pujols	500	629	2,363	787	189	9	160	504	304	35	279	13	13	2,728	1,474	358	1	25	43	75	.333	.413	.624	1.037	575	240	.433	166	231.5
2	Alex Rodriguez A. Rodriguez	494	640	2,464	741	115	11	192	501	329	51	510	72	14	2,870	1,454	318	0	26	34	65	.301	.391	.590	.981	553	201	.411	150	179.6
3	Todd Helton T. Helton	489	629	2,270	778	191	13	144	468	435	15	339	15	10	2,749	1,427	348	1	28	76	55	.343	.447	.629	1.076	611	274	.446	158	203.9
4	Barry Bonds B. Bonds	486	573	1,642	573	112	8	209	438	755	37	239	35	6	2,443	1,328	329	0	9	284	21	.349	.559	.809	1.368	716	416.2	.531	231	411.5
5	Johnny Damon J. Damon	452	604	2,496	698	135	27	55	273	270	15	285	107	32	2,813	1,052	217	14	18	11	24	.280	.351	.421	.773	369	24.1	.338	104	12.8
6	Ichiro Suzuki I. Suzuki	450	634	2,722	924	114	29	37	242	183	23	247	157	48	2,953	1,207	180	12	13	63	20	.339	.384	.443	.828	433	70.8	.356	121	79.6
7	Carlos Beltran C. Beltran	443	617	2,374	683	126	38	117	410	287	18	437	149	15	2,712	1,236	281	7	26	17	35	.288	.365	.521	.886	444	110.9	.376	125	85.5
8	Bobby Abreu B. Abreu	437	636	2,311	692	180	12	101	401	446	11	496	129	40	2,797	1,199	293	0	29	43	42	.299	.411	.519	.930	505	161.7	.397	142	149.4
9	Sammy Sosa S. Sosa	436	573	2,128	614	96	7	188	451	337	16	573	2	3	2,505	1,288	291	0	24	65	43	.289	.386	.605	.991	479	171.6	.409	150	160.3
10	Jeff Bagwell J. Bagwell	433	635	2,348	659	133	10	136	417	391	30	515	35	14	2,789	1,220	279	0	20	22	73	.281	.387	.520	.907	483	140.9	.388	132	116
11	Derek Jeter D. Jeter	432	580	2,383	726	130	7	72	279	218	44	400	93	15	2,679	1,086	209	27	7	8	56	.305	.373	.456	.828	406	77.2	.362	122	74.5
12	Lance Berkman L. Berkman	430	627	2,237	687	165	16	131	453	433	36	448	29	23	2,725	1,277	312	1	18	52	38	.307	.424	.571	.995	545	210.4	.420	153	186.1
13	Gary Sheffield G. Sheffield	423	587	2,156	667	121	5	136	437	344	34	258	45	16	2,559	1,206	262	0	25	28	60	.309	.408	.559	.968	491	177.2	.410	152	170.8
14	Miguel Tejada M. Tejada	420	648	2,573	750	143	5	126	500	182	40	311	32	8	2,826	1,281	274	1	30	21	71	.291	.344	.498	.842	419	72.1	.358	120	70.1
15	Craig Biggio C. Biggio	416	609	2,455	670	162	8	74	253	213	87	421	38	12	2,789	1,070	244	21	13	9	38	.273	.350	.436	.786	381	38.2	.344	104	13.3
16	Jim Thome J. Thome	410	605	2,092	592	103	7	190	478	448	15	650	1	8	2,573	1,279	300	0	18	69	29	.283	.410	.611	1.021	519	203.5	.422	160	194.2
17	Vladimir Guerrero V. Guerrero	408	588	2,219	726	141	11	137	424	259	29	285	101	44	2,527	1,300	289	0	20	92	81	.327	.401	.586	.987	481	171.2	.409	147	152.1
18	Shawn Green S. Green	407	636	2,402	678	139	8	138	410	304	24	445	39	13	2,748	1,247	285	0	18	40	71	.282	.366	.519	.885	446	108.9	.375	132	112.2
19	Manny Ramirez M. Ramirez	402	568	2,102	674	144	3	154	466	333	30	450	5	6	2,480	1,286	301	0	15	82	61	.321	.418	.612	1.030	510	204.9	.426	162	191.8
20	Brian Giles B. Giles	401	606	2,174	646	141	25	118	380	419	23	279	42	18	2,638	1,191	284	0	22	56	44	.297	.412	.548	.960	495	171.3	.405	149	164.8
21	Juan Pierre J. Pierre	398	632	2,555	797	96	35	7	180	172	32	151	203	73	2,817	984	138	52	6	3	31	.312	.362	.385	.747	357	11.1	.332	92	-28
22	Carlos Delgado C. Delgado	396	594	2,107	595	129	4	146	454	391	61	514	4	1	2,588	1,170	279	0	29	75	37	.282	.405	.555	.960	477	159.1	.401	144	143.3
23	Alfonso Soriano A. Soriano	396	615	2,560	731	153	14	123	357	123	39	533	137	40	2,747	1,281	290	4	21	12	30	.286	.326	.500	.826	390	53.2	.351	113	42.9
24	Scott Rolen S. Rolen	392	602	2,193	631	149	14	118	445	300	47	425	41	15	2,570	1,162	281	1	29	20	55	.288	.381	.530	.911	444	128.7	.387	137	120.7
25	Bret Boone B. Boone	391	620	2,446	707	136	11	120	448	217	25	472	43	18	2,728	1,225	267	10	30	14	57	.289	.349	.501	.850	414	79.2	.362	126	87.4