A365258 -id:A365258 - cp's OEIS frontend

A365257 The five digits of a(n) and their four successive absolute first differences are all distinct.

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

Offset: 1

Eric Angelini and Giorgos Kalogeropoulos, Aug 29 2023

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.

			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..

Cf. A365258, A100787, A040114, A270263.

Select[Range[10000,99999],Sort@Join[IntegerDigits@#, Abs@Differences@IntegerDigits@#]==Range@9&]

cp's OEIS Frontend

A365257 The five digits of a(n) and their four successive absolute first differences are all distinct.

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