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A047791 Numbers n such that n plus digit sum of n (A007953) equals a prime. 27
1, 10, 11, 13, 14, 16, 19, 32, 34, 35, 37, 52, 53, 56, 58, 59, 71, 73, 76, 91, 92, 94, 95, 97, 100, 101, 103, 104, 106, 122, 124, 127, 128, 142, 143, 146, 149, 160, 163, 166, 167, 181, 182, 184, 185, 215, 217, 218, 232, 233, 238, 250, 253, 256, 257, 271, 272 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for Colombian or self numbers and related sequences

FORMULA

Complement of A107743.

A062028^(-1)(A000040). - M. F. Hasler, Nov 08 2018

EXAMPLE

Digit sum of 13 = 1 + 3 = 4 -> 13 + 4 = 17 is prime.

MAPLE

P:=proc(n) local i, j, k, w; for i from 1 by 1 to n do w:=0; k:=i; j:=k; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; if isprime(j+w) then print(j); fi; od; end: P(1000); # Paolo P. Lava, Mar 02 2009

MATHEMATICA

Select[Range[272], PrimeQ[#+Total[IntegerDigits[#]]]&] (* Jayanta Basu, May 03 2013 *)

PROG

(Haskell)

a047791 n = a047791_list !! (n-1)

a047791_list = filter ((== 1) . a010051' . a062028) [1..]

-- Reinhard Zumkeller, Sep 27 2014

(PARI) select( is(n)=isprime(n+sumdigits(n)), [1..300]) \\ M. F. Hasler, Nov 08 2018

CROSSREFS

Cf. A006378, A107740.

Cf. A007953, A062028, A010051, A107743.

Sequence in context: A216502 A219256 A107741 * A253610 A302578 A093679

Adjacent sequences:  A047788 A047789 A047790 * A047792 A047793 A047794

KEYWORD

base,easy,nonn

AUTHOR

G. L. Honaker, Jr.

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Nov 16 2000

STATUS

approved

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)