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A069151 Concatenations of consecutive primes, starting with 2, that are also prime. 8
2, 23, 2357 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime Smarandache-Wellin numbers (primes in A019518).

The next term is the 355-digit 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, Smarandache-Wellin Number

Eric Weisstein's World of Mathematics, Smarandache-Wellin 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 (Smarandache-Wellin 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

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Last modified May 3 23:41 EDT 2016. Contains 272384 sequences.