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A157676 Numbers n such that n + (product of digits) is prime. +0
1
1, 21, 23, 27, 29, 61, 67, 81, 83, 101, 103, 107, 109, 161, 163, 169, 233, 239, 253, 259, 283, 289, 293, 299, 307, 329, 341, 343, 347, 349, 361, 401, 409, 431, 437, 439, 441, 443, 449, 471, 473, 477, 493, 499, 503, 509, 529, 563, 569, 601, 607, 611, 613, 617 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = n + DigitProduct(n)

EXAMPLE

a(21) = 21 + (2)(1) = 23 (prime). a(67) = 67 + (6)(7) = 109 (prime). a(169) = 169 + (1)(6)(9) = 223 (prime).

MATHEMATICA

fQ[n_] := PrimeQ[n + Times @@ IntegerDigits@n]; Select[ Range@1000, fQ@# &] [From Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2009]

CROSSREFS

Sequence in context: A095441 A095437 A089787 this_sequence A066867 A111356 A033267

Adjacent sequences: A157673 A157674 A157675 this_sequence A157677 A157678 A157679

KEYWORD

nonn,base

AUTHOR

Kyle D. Balliet (kdballie(AT)bloomu.edu), Mar 04 2009

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2009

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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