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A328762
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Numbers n for which 2 < A257993(A276086(A276086(n))) < A257993(n), where A276086 converts the primorial base expansion of n into its prime product form, and A257993 returns the index of the least prime not present in its argument.
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5
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210, 1470, 5250, 6510, 7140, 8400, 9450, 10710, 14490, 15750, 16380, 17640, 18690, 19950, 23730, 24990, 25620, 26880, 27930, 29190, 30030, 31290, 32340, 33600, 37380, 38640, 39270, 40530, 41580, 42840, 46620, 47880, 48510, 49770, 50820, 52080, 55860, 57120, 57750, 59010, 60270, 61530, 63420, 65730, 69510, 70770, 72660, 74970
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OFFSET
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1,1
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COMMENTS
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All terms are multiples of 5 (and thus of 30), because when applied to any number which is a multiple of 6, but not of 5 (and thus not a multiple of 30, implying that the primorial expansion ends with "x00", where x <> 0, and A257993(n) = 3), A276086 will yield a number of the form 30k+5 or 30k+25 (A084967) whose primorial expansion ends either as "...021" or as "...401" (with the least significant zero either in position 2 or 3), thus A328578(n) = A257993(A276086(A276086(n))) cannot simultaneously be larger than 2 and smaller than A257993(n).
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LINKS
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PROG
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(PARI)
A257993(n) = { for(i=1, oo, if(n%prime(i), return(i))); }
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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