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A215408 Smallest number whose home prime (cf. A037274) is the home prime of exactly n natural numbers. 1

%I #11 Apr 28 2015 15:02:10

%S 2,6,4,42,10,118,250,140,4206,3786,41933,1798,722,87066,8691,5978

%N Smallest number whose home prime (cf. A037274) is the home prime of exactly n natural numbers.

%C The home primes of the sequence are A118756.

%D J. Heleen, Family Numbers: Constructing Primes By Prime Factor Splicing, J. Rec. Math. 28 (1996-97), 116-119.

%H P. de Geest, <a href="http://www.worldofnumbers.com/topic1.htm">Home Primes < 100 and Beyond</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HomePrime.html">Home Prime.</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Home_prime">Home prime</a>

%F A037274(a(n)) = A118756(n).

%e The home prime of the four numbers 42, 74, 237, and 379 is 379 (for example, 42 = 2*3*7 -> 237 = 3*79 -> 379 which is prime), so a(4) = 42.

%Y Cf. A037274, A118756, and their cross-references.

%K nonn,base

%O 1,1

%A _Jonathan Sondow_, Aug 09 2012

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