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A172195 Prime numbers for which the absolute difference between the summation of its digits & the product of its digits is a prime. 1

%I

%S 29,37,43,47,53,59,67,73,79,83,97,101,113,131,151,181,191,211,223,227,

%T 229,251,281,311,313,331,401,409,443,449,461,463,467,521,601,607,641,

%U 643,647,661,683,809,811,821,863,881,883,911,1013,1019,1031

%N Prime numbers for which the absolute difference between the summation of its digits & the product of its digits is a prime.

%H Harvey P. Dale, <a href="/A172195/b172195.txt">Table of n, a(n) for n = 1..1000</a>

%t dpQ[n_]:=Module[{idn=IntegerDigits[n]},PrimeQ[Abs[Total[idn]- Times@@ idn]]]; Select[Prime[Range[400]],dpQ] (* _Harvey P. Dale_, Feb 20 2014 *)

%Y 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.

%K base,nonn

%O 1,1

%A _Umut Uludag_, Jan 29 2010

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Last modified August 26 00:35 EDT 2019. Contains 326324 sequences. (Running on oeis4.)