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 A299213 Lucas-Carmichael numbers whose prime factors do not divide any smaller Lucas-Carmichael number. 0
 399, 935, 565861139, 5778659039, 22824172799, 49569379679, 221511111527, 572531110799, 745012846679 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Also numbers whose number of occurrence in A253597 equals the number of their prime factors. All known terms have only 3 prime factors. Does any term with more than 3 prime factors exist? LINKS Table of n, a(n) for n=1..9. EXAMPLE 565861139 = 193*1163*2521 and no smaller Lucas-Carmichael number is divisible by 193, 1163 or 2521. PROG (PARI) a=readvec("b006972.txt"); print1(399); for(b=2, 10000, e=true; f=factor(a[b]); for(d=1, #f[, 1], for(c=1, b-1, if(a[c]%f[d, 1]==0, e=false))); if(e==true, print1(", ", a[b]))) CROSSREFS Cf. A006972, A202562, A253597. Sequence in context: A006972 A216925 A292573 * A206536 A292538 A369246 Adjacent sequences: A299210 A299211 A299212 * A299214 A299215 A299216 KEYWORD nonn,more AUTHOR Tim Johannes Ohrtmann, Feb 05 2018 STATUS approved

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Last modified May 27 12:27 EDT 2024. Contains 372858 sequences. (Running on oeis4.)