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 A356167 Greatest common divisor of A003961(n) and the smallest positive k such that n divides k*A003961(k), where A003961 is fully multiplicative with a(p) = nextprime(p). 4
 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 7, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 3, 11, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,10 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 Index entries for sequences computed from indices in prime factorization FORMULA a(n) = gcd(A003961(n), A356164(n)). PROG (PARI) A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; A356167(n) = for(k=1, oo, if((k*A003961(k))%n==0, return(gcd(A003961(n), k)))); CROSSREFS Cf. A003961, A191002, A356164, A356165, A356166. Cf. also A345993. Sequence in context: A356097 A356096 A326029 * A176028 A031246 A031245 Adjacent sequences: A356164 A356165 A356166 * A356168 A356169 A356170 KEYWORD nonn,look AUTHOR Antti Karttunen, Jul 28 2022 STATUS approved

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Last modified December 7 12:34 EST 2023. Contains 367656 sequences. (Running on oeis4.)