

A069151


Concatenations of consecutive primes, starting with 2, that are also prime.


10




OFFSET

1,1


COMMENTS

Prime SmarandacheWellin numbers (primes in A019518).
The next term is the 355digit number 2357111317192329313741434753...677683691701709719 which is too large to include here. See A046035, A046284.


REFERENCES

R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, 2nd ed., Springer, NY, 2005; see p. 78. [The 2002 printing states incorrectly that 2357...5441 is prime.]


LINKS

Jens Kruse Andersen, Table of n, a(n) for n = 1..5
M. Fleuren, Smarandache Concatenated Primes
Eric Weisstein's World of Mathematics, SmarandacheWellin Number
Eric Weisstein's World of Mathematics, SmarandacheWellin Prime


MATHEMATICA

Cases[FromDigits /@ Rest[FoldList[Join, {}, IntegerDigits[Prime[ Range[10^3]]]]], _?PrimeQ] (* Eric W. Weisstein, Oct 30 2015 *)


PROG

(PARI) s=""; for(n=1, 200, s=concat(s, prime(n)); if(ispseudoprime( eval(s)), print1(s", "))) \\ Jens Kruse Andersen, Jun 26 2014


CROSSREFS

Cf. A019518 (SmarandacheWellin numbers).
Cf. A046035 (Numbers n such that the concatenation of the first n primes is prime)
Cf. A046284 (Primes p such that concatenation of primes from 2 through p is a prime).
Cf. A030997 (Smallest prime which is a concatenation of n consecutive primes).
Sequence in context: A067823 A114794 A090509 * A227529 A091763 A124513
Adjacent sequences: A069148 A069149 A069150 * A069152 A069153 A069154


KEYWORD

nonn,bref,base


AUTHOR

Joseph L. Pe, Apr 08 2002


EXTENSIONS

Edited by Robert G. Wilson v, Apr 11 2002
Entry revised Jan 18 2004


STATUS

approved



