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%I #17 Sep 08 2022 08:46:11
%S 4,6,10,14,3,7,15,19,11,29,7,31,9,19,39,23,59,13,55,15,31,79,35,89,79,
%T 2,4,8,10,8,24,8,32,40,50,12,48,28,56,32,80,18,20,40,80,100,6,19,39,
%U 49,26,68,15,18,84,47,125,24,114,27,61,68,10,8,16,32,16
%N a(n) = the digit sum of prime(n) + the digit product of prime(n).
%H Harvey P. Dale, <a href="/A255005/b255005.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = A007605(n) + A053666(n).
%e Prime(5)=11 and (1*1) + (1+1) = 3 so a(5) = 3.
%e Prime(10)=29 and (2*9) + (2+9) = 29 so a(10) = 29.
%t Table[Plus @@ IntegerDigits[Prime[n]] + Times @@ IntegerDigits[Prime[n]], {n, 80}] (* _Bruno Berselli_, Feb 12 2015 *)
%t dsdp[n_]:=Module[{idpn=IntegerDigits[Prime[n]]},Total[idpn]+Times@@idpn]; dsdp/@Range[70] (* _Harvey P. Dale_, Mar 05 2017 *)
%o (Magma) [&*Intseq(NthPrime(n))+&+Intseq(NthPrime(n)): n in [1..80]];
%Y Subsequence of A061762.
%Y Cf. A007605, A053666.
%K nonn,base
%O 1,1
%A _Vincenzo Librandi_, Feb 12 2015