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A046035
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Numbers n such that the concatenation of the first n primes (A019518) is a prime.
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10
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OFFSET
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1,2
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COMMENTS
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The primes themselves (A069151) are sometimes called Smarandache-Wellin primes.
No others with n <= 10400. Eric Weisstein, (eric(AT)weisstein.com), Mar 01, 2004
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REFERENCES
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R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer, NY, 2001; see p. 72. [The 2002 printing states incorrectly that 719 is a term.]
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LINKS
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Table of n, a(n) for n=1..8.
Eric Weisstein's World of Mathematics, Consecutive Number Sequences
M. Fleuren, Smarandache Concatenated Primes.
Eric Weisstein's World of Mathematics, Integer Sequence Primes
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EXAMPLE
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4 is a term since 2357 is a prime. [Corrected by Ed Murphy (emurphy42(AT)socal.rr.com), May 15 2007]
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MATHEMATICA
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a = ""; Do[a = StringJoin[a, ToString[ Prime[n]]]; If[ PrimeQ[ ToExpression[a ]], Print[n]], {n, 1, 1429}]
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CROSSREFS
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Cf. A019518, A033308, A069151. A046284(n) = prime(a(n)).
Sequence in context: A006314 A009595 A018493 * A134710 A009073 A012561
Adjacent sequences: A046032 A046033 A046034 * A046036 A046037 A046038
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KEYWORD
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nonn,base,nice
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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