A138031 a(n) = prime(n)^13.
8192, 1594323, 1220703125, 96889010407, 34522712143931, 302875106592253, 9904578032905937, 42052983462257059, 504036361936467383, 10260628712958602189, 24417546297445042591, 243569224216081305397, 925103102315013629321, 1718264124282290785243
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p^13: p in PrimesUpTo(100)]; // Vincenzo Librandi, Mar 27 2014
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Mathematica
Array[Prime[ # ]^13 &, 10] Prime[Range[30]]^13 (* Vincenzo Librandi, Mar 27 2014 *)
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PARI
A138031(n)=prime(n)^13 \\ M. F. Hasler, Jul 03 2025
Formula
From Amiram Eldar, Jan 24 2021: (Start)
Product_{n>=1} (1 + 1/a(n)) = zeta(13)/zeta(26).
Product_{n>=1} (1 - 1/a(n)) = 1/zeta(13) = 1/A013671. (End)
Extensions
More terms from Vincenzo Librandi, Mar 27 2014