Search: id:A052034
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%I A052034
%S A052034 11,23,41,61,83,101,113,131,137,173,179,191,197,199,223,229,311,313,
%T A052034 317,331,337,353,373,379,397,401,409,443,449,461,463,467,601,641,643,
%U A052034 647,661,683,719,733,739,773,797,829,863,883,911,919,937,971,977,991,997,
               1013
%N A052034 Primes such that the sum of the squares of their digits is also a prime.
%C A052034 Primes p such that the sum of the squared digits of p is a prime q. For 
               the values of q see A109181.
%D A052034 Charles W. Trigg, Journal of Recreational Mathematics, Vol. 20(2), 1988.
%D A052034 "Hands On Numbers Count", Personal Computer World, 1997, p. 290.
%e A052034 E.g. p=23 is OK because q=2^2+3^2=13 is a prime.
%e A052034 E.g. 9431 -> 9^2+4^2+3^2+1^2 = 107 and prime.
%p A052034 a:=proc(n) local nn, L: nn:=convert(n,base,10): L:=nops(nn): if isprime(n)= 
               true and isprime(add(nn[j]^2,j=1..L))=true then n else end if end 
               proc: seq(a(n),n=1..1000); - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Jan 08 2008
%Y A052034 Cf. A052035, A003132, A108662, A109181.
%Y A052034 Sequence in context: A094376 A086524 A060915 this_sequence A077041 A068842 
               A146451
%Y A052034 Adjacent sequences: A052031 A052032 A052033 this_sequence A052035 A052036 
               A052037
%K A052034 nonn,base
%O A052034 1,1
%A A052034 Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 15 1999.
%E A052034 Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 15 2007 and 
               again on Dec 05 2008 at the suggestion of Zak Seidov

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