

A215408


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


1



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

1,1


COMMENTS

The home primes of the sequence are A118756.


REFERENCES

J. Heleen, Family Numbers: Constructing Primes By Prime Factor Splicing, J. Rec. Math. 28 (199697), 116119.


LINKS

Table of n, a(n) for n=1..16.
P. de Geest, Home Primes < 100 and Beyond
Eric Weisstein's World of Mathematics, Home Prime.
Wikipedia, Home prime


FORMULA

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


EXAMPLE

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.


CROSSREFS

Cf. A037274, A118756, and their crossreferences.
Sequence in context: A108435 A322827 A322825 * A264609 A126262 A258324
Adjacent sequences: A215405 A215406 A215407 * A215409 A215410 A215411


KEYWORD

nonn,base


AUTHOR

Jonathan Sondow, Aug 09 2012


STATUS

approved



