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A046284 Primes p such that concatenation of primes from 2 through p is a prime. 6

%I #12 Oct 10 2019 00:31:56

%S 2,3,7,719,1033,2297,3037,11927

%N Primes p such that concatenation of primes from 2 through p is a prime.

%C "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

%D 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.]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ConsecutiveNumberSequences.html">Consecutive Number Sequences.</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Smarandache-WellinNumber.html">Smarandache-Wellin Number</a>

%e 7 is a member, since 2357 is a prime.

%t a = ""; Do[a = StringJoin[a, ToString[ Prime[n]]]; If[ PrimeQ[ ToExpression[a]], Print[n]], {n, 1, 1429}]

%Y Cf. A019518, A033308, A069151. a(n) = prime(A046035(n)).

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Jun 15 1998

%E Additional comments from _Robert G. Wilson v_, Sep 10 2001

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