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A030997 Smallest prime which is a concatenation of n consecutive primes. 8

%I #19 Apr 19 2017 14:17:34

%S 2,23,5711,2357,711131719,113127131137139149,29313741434753,

%T 107109113127131137139149,211223227229233239241251257,

%U 691701709719727733739743751757,2329313741434753596167

%N Smallest prime which is a concatenation of n consecutive primes.

%H Hans Havermann, <a href="/A030997/b030997.txt">Table of n, a(n) for n = 1..100</a>

%e a(5) = 711131719 is the smallest prime which is the concatenation of five consecutive primes 7, 11, 13, 17 and 19.

%o (PARI) for(k=1,19, for(i=0,1e9, isprime( eval( p=concat( vector( k,j,Str( prime( i+j )))))) & break); print1(p,", ")) \\ _M. F. Hasler_, Nov 10 2009

%Y Cf. A030996, A068655, A030473, A086041, A099727, A167517.

%Y Cf. A030461 (primes that are concatenations of two primes), A030469 (three primes), A030473 (four primes), A086041 (five primes).

%K nonn,base

%O 1,1

%A _Patrick De Geest_ and _Warut Roonguthai_

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)