

A030997


Smallest prime which is a concatenation of n consecutive primes.


8



2, 23, 5711, 2357, 711131719, 113127131137139149, 29313741434753, 107109113127131137139149, 211223227229233239241251257, 691701709719727733739743751757, 2329313741434753596167
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OFFSET

1,1


LINKS

Hans Havermann, Table of n, a(n) for n = 1..100


EXAMPLE

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


PROG

(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


CROSSREFS

Cf. A030996, A068655, A030473, A086041, A099727, A167517.
Cf. A030461 (primes that are concatenations of two primes), A030469 (three primes), A030473 (four primes), A086041 (five primes).
Sequence in context: A087388 A117507 A068656 * A090511 A114256 A110714
Adjacent sequences: A030994 A030995 A030996 * A030998 A030999 A031000


KEYWORD

nonn,base


AUTHOR

Patrick De Geest and Warut Roonguthai


STATUS

approved



