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A172195
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Prime numbers for which the absolute difference between the summation of its digits & the product of its digits is a prime.
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1
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29, 37, 43, 47, 53, 59, 67, 73, 79, 83, 97, 101, 113, 131, 151, 181, 191, 211, 223, 227, 229, 251, 281, 311, 313, 331, 401, 409, 443, 449, 461, 463, 467, 521, 601, 607, 641, 643, 647, 661, 683, 809, 811, 821, 863, 881, 883, 911, 1013, 1019, 1031
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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dpQ[n_]:=Module[{idn=IntegerDigits[n]}, PrimeQ[Abs[Total[idn]- Times@@ idn]]]; Select[Prime[Range[400]], dpQ] (* Harvey P. Dale, Feb 20 2014 *)
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CROSSREFS
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Cf. A007605 (Sum of digits of n-th prime), A053666 (Product of digits of n-th prime). For the sequence terms, abs(A007605(n) - A053666(n)) is prime.
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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