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A268146 Twin prime pairs concatenated to their average in decimal representation (the greater twin prepended, the lesser appended). 0

%I #7 Mar 05 2016 13:52:53

%S 543,765,131211,191817,313029,434241,616059,737271,103102101,

%T 109108107,139138137,151150149,181180179,193192191,199198197,

%U 229228227,241240239,271270269,283282281,313312311,349348347,421420419,433432431,463462461,523522521,571570569,601600599

%N Twin prime pairs concatenated to their average in decimal representation (the greater twin prepended, the lesser appended).

%C The greater prime of a twin prime pair is prepended and the lesser one is appended to their average (nonprime, interprime).

%C a(n) mod 3 = 0, (See A095958).

%e a(1)=543: the greater prime {5} of the first twin prime pair {3, 5} is prepended and the lesser prime {3} is appended to their average {4}.

%t UpToN[k_]:=FromDigits//@ StringJoin//@ ToString/@ {#+1, #, #-1} &/@ Select[ Table[ Prime[n]+1, {n, 2, PrimePi[k]}], PrimeQ[#+1] &]; UpToN[10000]

%Y Cf. A001097, A014574, A095958, A111875, A268145.

%K nonn,base,easy

%O 1,1

%A _Mikk Heidemaa_, Jan 27 2016

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Last modified April 25 11:24 EDT 2024. Contains 371967 sequences. (Running on oeis4.)