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A060359
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a(n) = (smallest prime > k) - (largest prime < k), where k = lcm(1..n).
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2
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2, 2, 2, 2, 2, 14, 18, 18, 32, 32, 54, 54, 54, 40, 62, 62, 2, 2, 2, 2, 42, 42, 30, 30, 72, 72, 44, 44, 44, 42, 42, 42, 42, 42, 96, 96, 96, 96, 126, 126, 142, 142, 142, 142, 2, 2, 142, 142, 142, 142, 122, 122, 122, 122, 122, 122, 262, 262, 98, 98
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OFFSET
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3,1
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LINKS
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FORMULA
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MAPLE
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a:= n-> (m->nextprime(m)-prevprime(m))(ilcm($1..n)):
seq (a(n), n=3..100);
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MATHEMATICA
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f[n_]:=Module[{lcmn=LCM@@Range[n]}, NextPrime[lcmn]-NextPrime[lcmn, -1]]; f/@Range[3, 70] (* Harvey P. Dale, Feb 04 2011 *)
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PROG
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(PARI) a(n) = my(lc = lcm([1..n])); nextprime(lc+1) - precprime(lc-1); \\ Michel Marcus, Mar 20 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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