Mariano Rivera had the most saves when playing 4+ seasons, with 652 saves.

Interpreted as:

most regular-season saves by a player over a span of 4 or more years

	NAME	SV	SEAS	G	W	L	W%	GS	ERA	SO	CG	SHO	IP	H	ER	R	HR	BB	HBP	GF	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	ERA-	FIP	FIP-	H/9	PRAA
1	Mariano Rivera M. Rivera	652	19	1,115	82	60	.577	10	2.21	1,173	0	0	1283.2	998	315	340	71	286	46	952	41	5,103	13	8.22	2.01	4.10	0.50	23.0	5.6	1.00	.263	2.38	49	2.76	61	7.00	246.7
2	Trevor Hoffman T. Hoffman	601	18	1,035	61	75	.449	0	2.87	1,133	0	0	1089.1	846	347	378	100	307	9	856	58	4,388	49	9.36	2.54	3.69	0.83	25.8	7.0	1.06	.263	3.12	71	3.07	73	6.99	143.1
3	Lee Smith L. Smith	478	18	1,022	71	92	.436	6	3.03	1,251	0	0	1289.1	1,133	434	475	89	486	10	802	100	5,388	47	8.73	3.39	2.57	0.62	23.2	9.0	1.26	.294	3.32	76	2.92	74	7.91	142
4	Kenley Jansen K. Jansen	457	16	890	49	38	.563	0	2.61	1,237	0	0	884.2	591	257	275	84	268	31	669	18	3,517	21	12.58	2.73	4.62	0.85	35.2	7.6	0.97	.267	2.80	66	2.58	64	6.01	143.3
5	Craig Kimbrel C. Kimbrel	440	15	837	56	47	.544	0	2.59	1,265	0	0	809.2	482	233	259	73	339	40	651	11	3,257	70	14.06	3.77	3.73	0.81	38.8	10.4	1.01	.266	2.88	63	2.58	63	5.36	131.9
6	Francisco Rodriguez F. Rodriguez	437	16	948	52	53	.495	0	2.86	1,142	0	0	976.0	738	310	336	98	389	17	677	42	4,011	68	10.53	3.59	2.94	0.90	28.5	9.7	1.15	.271	3.10	69	3.30	79	6.81	97
7	John Franco J. Franco	424	21	1,119	90	87	.508	0	2.89	975	0	0	1245.2	1,166	400	466	81	495	22	774	78	5,312	54	7.04	3.58	1.97	0.59	18.4	9.3	1.33	.290	3.37	73	3.44	86	8.42	76
8	Billy Wagner B. Wagner	422	16	853	47	40	.540	0	2.31	1,196	0	0	903.0	601	232	262	82	300	33	703	26	3,600	43	11.92	2.99	3.99	0.82	33.2	8.3	1.00	.261	2.61	54	2.72	63	5.99	159
9	Dennis Eckersley D. Eckersley	390	24	1,071	197	171	.535	361	3.50	2,401	100	20	3285.2	3,076	1,278	1,382	347	738	75	577	91	13,534	28	6.58	2.02	3.25	0.95	17.7	5.5	1.16	.274	3.79	86	3.40	85	8.43	224.9
10	Joe Nathan J. Nathan	377	16	787	64	34	.653	29	2.87	976	0	0	923.1	690	294	317	84	344	23	587	31	3,771	47	9.51	3.35	2.84	0.82	25.9	9.1	1.12	.259	3.09	67	3.35	78	6.73	93.6
11	Jonathan Papelbon J. Papelbon	368	12	689	41	36	.532	3	2.44	808	0	0	725.2	572	197	226	57	185	34	585	18	2,938	14	10.02	2.29	4.37	0.71	27.5	6.3	1.04	.278	2.80	58	2.80	69	7.09	105.2
12	Jeff Reardon J. Reardon	367	16	880	73	77	.487	0	3.16	877	0	0	1132.1	1,000	397	426	109	358	27	695	65	4,720	20	6.97	2.85	2.45	0.87	18.6	7.6	1.20	.266	3.39	82	3.49	92	7.95	38.7
13	Troy Percival T. Percival	358	14	703	35	43	.449	1	3.17	781	0	0	708.2	479	250	271	85	306	27	546	25	2,915	32	9.92	3.89	2.55	1.08	26.8	10.5	1.11	.230	3.44	69	3.86	85	6.08	56.9
14	Randy Myers R. Myers	347	14	728	44	63	.411	12	3.19	884	1	0	884.2	758	314	338	69	396	12	548	43	3,744	32	8.99	4.03	2.23	0.70	23.6	10.6	1.30	.289	3.44	81	3.32	83	7.71	68.8
15	Aroldis Chapman A. Chapman	343	16	820	58	46	.558	0	2.61	1,275	0	0	782.0	462	227	251	53	401	33	533	7	3,202	82	14.67	4.62	3.18	0.61	39.8	12.5	1.10	.284	2.89	64	2.42	58	5.32	148.3
16	Rollie Fingers R. Fingers	341	17	944	114	118	.491	37	2.90	1,299	4	2	1701.1	1,474	549	615	123	492	39	709	109	6,942	40	6.87	2.60	2.64	0.65	18.7	7.1	1.16	.271	3.25	83	2.95	82	7.80	125.4
17	John Wetteland J. Wetteland	330	12	618	48	45	.516	17	2.93	804	0	0	765.0	616	249	287	73	252	16	523	30	3,145	40	9.46	2.96	3.19	0.86	25.6	8.0	1.13	.272	3.38	70	3.19	75	7.25	90.2
18	Francisco Cordero F. Cordero	329	14	800	47	53	.470	0	3.38	796	0	0	824.2	751	310	342	64	375	27	575	30	3,551	37	8.69	4.09	2.12	0.70	22.4	10.6	1.37	.300	3.73	75	3.62	81	8.20	76.4
19	Fernando Rodney F. Rodney	327	17	951	48	71	.403	0	3.80	943	0	0	933.0	817	394	433	73	464	52	590	38	4,064	65	9.10	4.48	2.03	0.70	23.2	11.4	1.37	.294	4.18	91	3.76	90	7.88	43.6
20	Roberto Hernandez R. Hernandez	326	17	1,010	67	71	.486	3	3.45	945	0	0	1071.1	1,002	411	475	96	462	35	667	53	4,632	50	7.94	3.88	2.05	0.81	20.4	10.0	1.37	.293	3.99	77	3.85	86	8.42	74
21	Huston Street H. Street	324	13	668	42	34	.553	0	2.95	665	0	0	680.0	542	223	237	70	183	8	525	37	2,718	20	8.80	2.42	3.63	0.93	24.5	6.7	1.07	.263	3.14	71	3.32	81	7.17	61.7
22	Jose Mesa J. Mesa	321	19	1,022	80	109	.423	95	4.36	1,038	6	2	1548.2	1,629	750	811	151	651	55	633	57	6,804	75	6.03	3.78	1.59	0.88	15.3	9.6	1.47	.301	4.71	100	4.31	99	9.47	9.5
23	Todd Jones T. Jones	319	16	982	58	63	.479	1	3.97	868	0	0	1072.0	1,072	473	518	93	443	38	619	62	4,650	43	7.29	3.72	1.96	0.78	18.7	9.5	1.41	.305	4.35	89	3.94	90	9.00	55.4
24	Rick Aguilera R. Aguilera	318	16	732	86	81	.515	89	3.57	1,030	10	0	1291.1	1,233	512	568	138	351	36	557	42	5,391	53	7.18	2.45	2.93	0.96	19.1	6.5	1.23	.285	3.96	86	3.61	87	8.59	74.5
25	Robb Nen R. Nen	314	10	643	45	42	.517	4	2.98	793	0	0	715.0	607	237	266	51	260	7	549	41	2,983	36	9.98	3.27	3.05	0.64	26.6	8.7	1.21	.297	3.35	72	2.92	69	7.64	108.2