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Search: id:A046284
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| A046284 |
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Primes p such that concatenation of primes from 2 through p is a prime. |
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7
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OFFSET
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1,1
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COMMENT
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"w_n = (P_1)(P_2) ... (P_n) [A019518], by which notation we mean that w_n is constructed in decimal by simple concatenation of digits [much like the Almost Natural numbers (A007376)]. For example, the first few w_n are 2, 23, 235, 2357, 235711, ... ." - Crandall and Pomerance
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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 5441 is a term.]
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Integer Sequence Primes
Eric Weisstein's World of Mathematics, Smarandache-Wellin Number
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EXAMPLE
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7 is a member, since 2357 is a prime.
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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. a(n) = prime(A046035(n)).
Sequence in context: A132538 A062615 A129907 this_sequence A069503 A077524 A088252
Adjacent sequences: A046281 A046282 A046283 this_sequence A046285 A046286 A046287
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KEYWORD
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nonn,base
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 15 1998.
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EXTENSIONS
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Additional comments from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 10 2001
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