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 A347313 Index of prime(n) in A347113, or -1 if that prime never appears. 6
 8, 11, 7, 20, 28, 19, 37, 51, 53, 47, 101, 116, 58, 63, 99, 81, 136, 146, 159, 153, 115, 213, 176, 197, 302, 151, 215, 223, 169, 230, 276, 274, 255, 188, 233, 318, 440, 341, 347, 359, 369, 282, 386, 396, 405, 520, 638, 460, 472, 698, 357, 492, 507, 514, 529, 535, 558, 702 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture: every prime appears in A347113 (every number, in fact). The graph shows three three strong lines (and many other points). Can the primes on the three lines be described in a simple way? LINKS Alois P. Heinz, Table of n, a(n) for n = 1..10000 PROG (Python) from math import gcd from sympy import prime def A347313(n): p = prime(n) i, j, nset, m = 1, 2, {1}, 2 while True: k = m i += 1 while k == j or gcd(k, j) == 1 or k in nset: k += 1 if k == p: return i j = k+1 nset.add(k) while m in nset: m += 1 # Chai Wah Wu, Sep 06 2021 CROSSREFS Cf. A347113. Sequence in context: A109596 A164801 A156925 * A077060 A123939 A134787 Adjacent sequences: A347310 A347311 A347312 * A347314 A347315 A347316 KEYWORD nonn AUTHOR N. J. A. Sloane, Sep 06 2021 STATUS approved

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Last modified March 3 17:50 EST 2024. Contains 370512 sequences. (Running on oeis4.)