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

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

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 A369993 A114256

Adjacent sequences: A030994 A030995 A030996 * A030998 A030999 A031000

Keyword

nonn,base

Author

Patrick De Geest and Warut Roonguthai

Status

approved