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A034821 Concatenations C1 and C2 are both prime (see the comment lines). 13

%I #7 Oct 06 2019 18:17:15

%S 5,17,103,127,157,191,200,201,202,203,204,205,206,207,208,209,210,227,

%T 234,235,236,237,238,258,259,260,261,262,307,347,354,355,356,357,358,

%U 431,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539

%N Concatenations C1 and C2 are both prime (see the comment lines).

%C C1 = 'prevprime(n) followed by nextprime(n)'

%C C2 = 'nextprime(n) followed by prevprime(n)'

%e n=17 -> next prime is 19, previous prime is 13, thus '1319' and '1913' are both primes.

%t c1c2pQ[n_]:=Module[{c1=NextPrime[n,-1],c2=NextPrime[n]},AllTrue[ {c1* 10^IntegerLength[ c2]+c2,c2*10^IntegerLength[c1]+c1},PrimeQ]]; Select[ Range[600],c1c2pQ] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Aug 23 2019 *)

%Y Cf. A034808-A034820.

%K nonn,base

%O 0,1

%A _Patrick De Geest_, Oct 15 1998

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