Search: id:A053707
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%I A053707
%S A053707 3,4,1,7,9,2,5,17,15,17,40,4,3,41,74,13,33,54,18,151,17,96,104,112,120,
%T A053707 63,307,38,312,168,199,139,10,12,192,408,316,356,240,375,393,424,128,
%U A053707 288,912,320,298,30,1032,271,1217,792,408,840,432,286,602,1872,984,504
%N A053707 First differences of A025475, powers of a prime but not prime.
%C A053707 In the graph of this sequence, the lowest curve corresponds to differences 
               of squares of twin primes; the next-lowest curve is for squares of 
               adjacent primes differing by 4, etc. - T. D. Noe, Aug 03 2007
%H A053707 T. D. Noe, <a href="b053707.txt">Table of n, a(n) for n=1..10000</a>
%F A053707 a(n) = A025475(n+1) - A025475(n).
%e A053707 2^0 = 1 is the first number that meets the definition of A025475, the 
               next one is 2^2 = 4, hence a(1) = 4 - 1 = 3.
%e A053707 a(3) = A025475(4) - A025475(3) = 9 - 8 = 1; a(11) = A025475(12) - A025475(11) 
               = 121 - 81 = 40.
%o A053707 (PARI) {k=1; for(n=2,16300,if(matsize(factor(n))[1]==1&&factor(n)[1,2]>
               1,d=n-k; print1(d,","); k=n))} (from Klaus Brockhaus)
%Y A053707 Cf. A025475.
%Y A053707 Sequence in context: A076446 A053289 A076412 this_sequence A075052 A111516 
               A116392
%Y A053707 Adjacent sequences: A053704 A053705 A053706 this_sequence A053708 A053709 
               A053710
%K A053707 nonn
%O A053707 1,1
%A A053707 Labos E. (labos(AT)ana.sote.hu), Feb 14 2000
%E A053707 Edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 25 2003

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