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A345707
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Primes prime(k) at which A345706(k) attains a record value.
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0
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2, 5, 11, 13, 19, 41, 47, 67, 89, 149, 211, 331, 433, 677, 859, 1301
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OFFSET
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1,1
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COMMENTS
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The corresponding records values are 1, 2, 3, 6, 12, 20, 24, 58, 322, 414, 483, 527, 1065, 2597, 3181, 6022, ...
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LINKS
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EXAMPLE
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The first 6 terms of A345706 are 1, 1, 2, 2, 3 and 6. The record values, 1, 2, 3 and 6, occur at k = 1, 3, 5 and 6. The corresponding primes are prime(k) = 2, 5, 11 and 13, the first 4 terms of this sequence.
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MATHEMATICA
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f[n_] := Module[{r = Product[Prime[j], {j, 1, n - 1}], p = Prime[n], k}, k = Max[1, Ceiling@Log[p, r]]; While[! PrimeQ[r*p^k + 1], k++]; k]; fm = 0; s = {}; Do[f1 = f[k]; If[f1 > fm, fm = f1; AppendTo[s, Prime[k]]], {k, 1, 50}]; s
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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