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 | A347568 |  | Positive integers which are not twice a positive triangular number and cannot be written as twice a positive triangular number plus an odd prime or twice a positive triangular number plus twice an odd prime. |  | 1 |  |  |  |  | 
 
 
 
 
 
 
 
 
 
 
 
 
 
 |  | OFFSET | 1,2
 
 
 
 
 
 
 
 
 
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 |  | COMMENTS | Probably finite. No more terms < 10^9.
 
  Asked by an anonymous person on Wikipedia, December 31 2021.
 
  No more terms < 10^11. - Martin Ehrenstein, Jan 15 2022
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 |  | LINKS | Table of n, a(n) for n=1..8.
 
  Wikipedia:Reference desk/Mathematics, Original question on Wikipedia December 31 2021
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 |  | EXAMPLE | 5 is NOT a term because 5 is not twice a triangular number and it can be written as 2*1+3, where 1 is a triangular and 3 is an odd prime. However, 10 is a term because it cannot be written in this way.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 |  | CROSSREFS | Cf. A000040, A000217, A347567.
 
  Sequence in context: A056517 A285042 A319719 * A048155 A242342 A204292
 
  Adjacent sequences:  A347565 A347566 A347567 * A347569 A347570 A347571
 
 
 
 
 
 
 
 
 
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 |  | KEYWORD | nonn,more
 
 
 
 
 
 
 
 
 
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 |  | AUTHOR | Jud McCranie, Jan 02 2022
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 |  | STATUS | approved
 
 
 
 
 
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