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3, 4, 23, 29, 39, 1559, 1593, 2435519, 2435534, 2485805, 2485806, 2485810, 2485827, 2486989, 5936893149287, 5936893149290, 5936949030071, 5936949030092, 5936949030103, 5936949030105, 5936949030115, 5936949030121, 35246700334321411113125039, 1242329884457453073932774588160466662938743561876559
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(3) = 23 is in the sequence because A260815(23) - A260815(22) = 575 - 46 > 1.
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MAPLE
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G:= proc(nv)
local n, v, k, np;
n:= nv[1]; v:= nv[2];
k:= min(seq((-n-1) mod p, p = numtheory:-factorset(v-n-1)));
np:= n+k+1;
[np, v+k+igcd(np, v+k)^2]
end proc:
R:= 3: t:= [3, 12]:
for i from 2 to 24 do
t:= G(t);
R:= R, t[1];
od:
R;
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MATHEMATICA
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2 + Position[Differences @ Nest[Append[#1, #1[[-1]] + GCD[#2, #1[[-1]]]^2] & @@ {#, Length[#] + 2} &, {3}, 10000], _?(# > 1 &)] // Flatten (* Amiram Eldar, Apr 14 2021 after Michael De Vlieger at A260815 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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