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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 (list; graph; refs; listen; history; text; internal format)
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 (1996-97), 116-119.

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 cross-references.

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

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Last modified November 18 17:33 EST 2019. Contains 329287 sequences. (Running on oeis4.)