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A086102 Concatenation of last two digits of p(n) and first two digits of p(n+1) is prime; values of such n in the sequence. 1

%I #10 Nov 21 2013 12:48:11

%S 11,23,29,31,44,45,51,58,61,66,73,80,82,84,111,112,124,127,130,136,

%T 138,167,185,186,188,192,194,212,213,215,216,217,218,275,276,292,293,

%U 294,295,296,297,299,300,301,302,319,321,326,344,345,346,348,352,353,355

%N Concatenation of last two digits of p(n) and first two digits of p(n+1) is prime; values of such n in the sequence.

%e a(7)=51 because prime{51)=233, prime{52)=239 and 3323 is prime

%t cpdQ[{a_,b_}]:=PrimeQ[FromDigits[Join[Take[IntegerDigits[a],-2], Take[ IntegerDigits[b],2]]]]; PrimePi/@Transpose[Select[ Partition[ Prime[ Range[5,500]],2,1],cpdQ]][[1]] (* _Harvey P. Dale_, Mar 30 2011 *)

%K easy,nonn,base

%O 1,1

%A _Zak Seidov_, Jul 09 2003

%E Edited by _Charles R Greathouse IV_, Apr 27 2010

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Last modified August 22 14:20 EDT 2024. Contains 375369 sequences. (Running on oeis4.)