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 A113762 Numbers n with nonzero digits in their decimal representation such that when all numbers formed by inserting the exponentiation symbol between any two digits are added up, the sum is prime. 1
 21, 31, 51, 71, 121, 142, 161, 162, 164, 181, 211, 237, 326, 343, 412, 416, 456, 491, 494, 612, 616, 726, 817, 929, 1226, 1228, 1427, 1513, 1622, 1776, 1824, 1828, 1911, 1915, 1975, 2127, 2188, 3716, 5265, 6276, 6321, 6491, 6852, 7739, 14423, 14487 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE a(6) = 142 because 1^42+14^2 = 197, which is prime. MATHEMATICA lst = {}; Do[ If[ Min@ IntegerDigits@n > 0, a=0; p=10; While[(w = Floor[n/p]) > 0, a += w^ Mod[n, p]; p*=10]; If[PrimeQ[a], Print[{n, a}]; AppendTo[lst, n]]], {n, 11, 9999}]; lst CROSSREFS Cf. A117388. Sequence in context: A034101 A034111 A077687 * A032585 A138822 A104297 Adjacent sequences:  A113759 A113760 A113761 * A113763 A113764 A113765 KEYWORD base,nonn AUTHOR Ray G. Opao, Jan 18 2006 EXTENSIONS More terms from Giovanni Resta, Jan 19 2006 More terms from Robert G. Wilson v, Apr 27 2006 STATUS approved

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Last modified December 10 04:15 EST 2019. Contains 329885 sequences. (Running on oeis4.)