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centered pentagonal n.  and  sphenic n.

First numbers that belong to both sets:

1266, 1626, 2806, 3706, 4731, 6126, 7426, 7701, 9766, 10726, 13506, 15801, 18706, 19581, 25251, 26266, 26781, 31641, 35106, 36906, 40006, 50766, 52926, 56626, 57381, 62806, 69306, 71826, 74391, 76126, 85101, 90726, 93606, 95551, 96531, 99501, 106606, 108681, 109726, 117181, 121551, 123766, 127126, 135141, 138651, 149451, 151906, 164481, 168351, 172266, 196701, 208081, 213891, 221266, 228766, 242581, 253606, 255201, 258406, 269781, 271426, 276391, 283081, 289851, 293266, 296701, 310641, 312406, 321306, 332151, 335806, 337641, 339481, 341326, 350626, 352501, 356266, 365766, 399001, 401001, 403006, 431601, 435766, 450501, 469806, 487306, 509631, 523266, 530151, 534766, 537081, 541726, 558141, 572406, 577201, 579606, 586851, 596581, 618766, 631266, 646431, 651526, 654081, 666931, 679906, 714226, 727651, 743926, 752131, 757626, 782601, 788206, 796651, 802306, 816531, 830881, 871726, 877641, 895506, 925681, 928726, 944026, 968766, 971881, 975001, 978126, 996981, 1028806, 1035231, 1064391, 1074201, 1077481, 1087351, 1097266, 1103901, 1107226, 1113891, 1154301, 1178206, 1188526, 1198891, 1205826, 1233766, 1237281, 1244326, 1269141, 1279851, 1283431, 1301406, 1312251, 1378266, 1389426, 1408126, 1442101, 1445901, 1488031, 1499626, 1503501, 1511266, 1538601, 1542526, 1550391, 1570141, 1574106, 1586031, 1598001, 1626106, 1638226, 1691266, 1724326, 1745151, 1766101, 1782951, 1795641, 1833981, 1838266, 1872726, 1885731, 1894426, 1907506, 1933801, 1942606, 1969141, 1978026, 2004801, 2009281, 2036266, 2045301, 2049826, 2099931, 2109106, 2132131, 2146006, 2169231, 2173891, 2183226, 2197266, 2211351, 2230201, 2268141, 2272906, 2287231, 2296806, 2374126, 2383881, 2398551, 2428026, 2442831, 2452726, 2457681, 2467606, 2477551, 2492506, 2502501, 2517531, 2532606, 2537641, 2562891, 2578101, 2588266, 2598451, 2613766, 2665141, 2696206, 2737906, 2753626, 2779926, 2811651, 2822266, 2838226, 2881006, 2891751, 2951206, 2994826, 3005781, 3011266, 3038766, 3055326, 3066391, 3094141, 3133201, 3155631, 3189426, 3200731, 3206391, 3223401, 3234766, 3246151, 3268981, 3274701, 3314881, 3355306, 3361101, 3401806, 3413481, 3431031, 3436891, 3495766, 3555141, 3561106, 3573051, 3591006, 3639106, 3675391, 3687526, 3699681, 3705766, 3717951, 3791481, 3803806, 3822331, 3847101, 3884406, 3896881, 3934426, 4054506, 4067251, 4092801, 4137706, 4144141.

Some larger examples :