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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

Table of n, a(n) for n=1..46.

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.)