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 A365257 The five digits of a(n) and their four successive absolute first differences are all distinct. 1
 14928, 15829, 17958, 18259, 18694, 18695, 19372, 19375, 19627, 25917, 27391, 27398, 28149, 28749, 28947, 34928, 35917, 37289, 37916, 38926, 39157, 39578, 43829, 45829, 47289, 47916, 49318, 49681, 49687, 51869, 53719, 57391, 57398, 58926, 59318, 59681, 59687, 61973, 61974, 62983, 62985, 67958, 68149, 68749, 68947, 69157, 69578, 71952, 71953, 72691, 72698, 74619, 74982, 74986, 75193, 75196, 76859, 78259, 78694, 78695, 81394, 81395, 81539, 82941, 82943, 85179, 85629, 85971, 85976, 86749, 87269, 87593, 87596, 89372, 89375, 89627, 91647, 91735, 92658, 92834, 92851, 92854, 93518, 94182, 94186, 94768, 94782, 94786, 95281, 95287, 95867, 96278, 96815, 97158, 98273, 98274 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The digit 0 is never present in a(n) and never appears as a first difference (as this would duplicate in both cases one of the 8 remaining digits involved). The sequence ends with a(96) = 98274. The only prime numbers with this property are 39157, 49681, 51869, 53719, 62983, 68749, 68947, 75193, 78259, 89627 and 95287. LINKS Table of n, a(n) for n=1..96. EXAMPLE The five digits of a(1) = 14928 produce the four successive absolute first differences 3 (= 1 - 4), 5 (= 4 - 9), 7 (= 9 - 2) and 6 (= 2 - 8), resulting in nine distinct digits. .1.4.9.2.8. ..3.5.7.6.. MATHEMATICA Select[Range[10000, 99999], Sort@Join[IntegerDigits@#, Abs@Differences@IntegerDigits@#]==Range@9&] CROSSREFS Cf. A365258, A100787, A040114, A270263. Sequence in context: A186901 A185486 A031815 * A235236 A203404 A236352 Adjacent sequences: A365254 A365255 A365256 * A365258 A365259 A365260 KEYWORD base,nonn,fini,full AUTHOR Eric Angelini and Giorgos Kalogeropoulos, Aug 29 2023 STATUS approved

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Last modified September 15 20:23 EDT 2024. Contains 375954 sequences. (Running on oeis4.)