Search: id:A075307
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%I A075307
%S A075307 3,5,23,53,1523,29243,299513,4383593,188677703,5765999453,5765999453,
%T A075307 2211931390883,165468170356703,8075975022064163,361310530977154973,
%U A075307 20037783573808880093,1779852341342071295513,40235059344426324076913
%N A075307 Smallest number m > 1 with m == k mod k-th prime for k = 1 to n.
%C A075307 Is a(n) == -1 mod 6 for n > 1? - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Sep 17 2002
%C A075307 The answer is yes, since each term after the first must be 1 mod 2 and 
               also 2 mod 3. Every such number is -1 mod 6. - Brian L. Galebach 
               (sequence(AT)ProbabilitySports.com), Jun 02 2004
%e A075307 a(1) = 3 == 1 (mod 2), a(4) = 53 == 1 (mod 2) ==2 (mod 3) ==3 (mod 5) 
               == 4 (mod 7)
%o A075307 (PARI) a(n)=if(n<0,0,s=1; while(sum(k=1,n,(s-k)%prime(k))>0,s++); s)
%Y A075307 Identical to A053664 except for first term.
%Y A075307 Sequence in context: A065720 A148554 A120937 this_sequence A100302 A023247 
               A027753
%Y A075307 Adjacent sequences: A075304 A075305 A075306 this_sequence A075308 A075309 
               A075310
%K A075307 nonn
%O A075307 1,1
%A A075307 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 13 2002
%E A075307 More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 17 2002
%E A075307 More terms from Brian L. Galebach (sequence(AT)ProbabilitySports.com), 
               Jun 02 2004
%E A075307 More terms from Brian L. Galebach (sequence(AT)ProbabilitySports.com), 
               Jun 14 2004

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