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A236866 Positions of primes in A007775 (numbers not divisible by 2, 3 or 5).

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%I A236866 #18 Aug 07 2025 14:48:20
%S A236866 2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,26,27,28,29,
%T A236866 30,31,34,35,37,38,40,41,42,44,45,47,48,49,51,52,53,54,57,60,61,62,63,
%U A236866 64,65,67,69,71,72,73,74,75,76,79,82,83,84,85,89,90,93,94,95
%N A236866 Positions of primes in A007775 (numbers not divisible by 2, 3 or 5).
%C A236866 From _Antti Karttunen_, Feb 01 2014: (Start)
%C A236866 Positions of primes among natural numbers coprime to 30.
%C A236866 Term 1 is missing from the sequence, because A007775(1)=1 is not considered a prime, terms 2 - 13 are all present, and 14 is the next term missing from here, as A007775(14)=49 is the first composite in that sequence.
%C A236866 (End)
%H A236866 Antti Karttunen, <a href="/A236866/b236866.txt">Table of n, a(n) for n = 1..10000</a>
%o A236866 (Python)
%o A236866 from sympy import isprime
%o A236866 i=0
%o A236866 for n in range(1000):
%o A236866     if n%2 and n%3 and n%5:
%o A236866         i+=1   # A007775(i)=n
%o A236866         if isprime(n):  print(i, end=', ')
%o A236866 (Scheme)
%o A236866 ;; With Antti Karttunen's IntSeq-library.
%o A236866 (define A236866 (MATCHING-POS 1 1 (lambda (n) (prime? (A007775 n)))))
%o A236866 ;; Where a slow version of A007775 can be defined for example like this,
%o A236866 (define A007775 (MATCHING-POS 1 1 (lambda (n) (= 1 (gcd n 30)))))
%o A236866 ;; from _Antti Karttunen_, Feb 01 2014
%Y A236866 Cf. A007775, A181709.
%K A236866 nonn,easy
%O A236866 1,1
%A A236866 _Alex Ratushnyak_, Jan 31 2014