

A330835


Primes q appearing in A330832: that is, if A330832(n)=p*q, where p is prime and q=(p^k1)/(p1) is prime, then a(n)=q.


4



3, 7, 13, 31, 31, 127, 1093, 307, 8191, 2801, 1723, 19531, 3541, 131071, 5113, 30941, 8011, 10303, 524287, 88741, 17293, 797161, 28057, 30103, 292561, 732541, 86143, 147073, 12207031, 5229043, 3500201, 459007, 492103, 552793, 25646167, 579883, 598303, 684757
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OFFSET

1,1


COMMENTS

The terms in the bfile are the same as those of A003424 with y=1, but with an ordering based on that of A330832. The ordering allows the inclusion of the only duplicate 2^51=31 and (5^31)/(51)=31.


LINKS

Walter Kehowski, Table of n, a(n) for n = 1..4731
G. Sobczyk, The Missing Spectral Basis in Algebra and Number Theory, The American Mathematical Monthly 108(4), April 2001.


FORMULA

a(n) = (A330833(n) ^ A330834(n)  1) / (A330833(n)  1).


EXAMPLE

a(5)=31 since A330833(5)=5, A330834(5)=3, and (5^31)/(51) = 31 is prime.


CROSSREFS

Cf. A003424, A023194, A023195, A085104, A330832, A330833, A330834.
Sequence in context: A340067 A199218 A062700 * A249378 A136060 A023227
Adjacent sequences: A330832 A330833 A330834 * A330836 A330837 A330838


KEYWORD

nonn


AUTHOR

Walter Kehowski, Jan 08 2020


STATUS

approved



